Equilibrium free energy differences from nonequilibrium measurements: a master equation approach

Abstract

It has recently been shown that the Helmholtz free energy difference between two equilibrium configurations of a system may be obtained from an ensemble of finite-time (nonequilibrium) measurements of the work performed in switching an external parameter of the system. Here this result is established, as an identity, within the master equation formalism. Examples are discussed and numerical illustrations provided.

29 pages + 9 figures, to appear in Phys Rev E

Cited by in corpus (439)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Deep Unsupervised Learning using Nonequilibrium Thermodynamics
• Path ensembles averages in systems driven far-from-equilibrium
• Steady State Thermodynamics of Langevin Systems
• Fluctuation theorems: Work is not an observable
• Keldysh Field Theory for Driven Open Quantum Systems
• Stochastic thermodynamics: Principles and perspectives
• Three detailed fluctuation theorems
• Stochastic thermodynamics under coarse-graining
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Enhanced sampling methods for molecular dynamics simulations
• The Three Faces of the Second Law: I. Master Equation Formulation
• Rare events and the convergence of exponentially averaged work values
• Direct evaluation of large-deviation functions
• Nonequilibrium Markov processes conditioned on large deviations
• Biological and synthetic membranes: What can be learned from a coarse-grained description?
• Nonequilibrium Physics in Biology
• Fluctuation Theorems
• MCMC for doubly-intractable distributions
• Entropy production and the arrow of time
• The Physical Origins of Entropy Production, Free Energy Dissipation and their Mathematical Representations
• Thermodynamic uncertainty relations from exchange fluctuation theorems
• Conformal field theory out of equilibrium: a review
• An experimental test of the Jarzynski equality in a mechanical experiment
• Path-integral analysis of fluctuation theorems for general Langevin processes
• Lecture notes on Generalised Hydrodynamics
• Comparison of far-from-equilibrium work relations
• {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
• Perspective: Quantum Thermodynamics
• Stochastic thermodynamics of chemical reaction networks
• Integral fluctuation theorem for the housekeeping heat
• Refined Second Law of Thermodynamics for fast random processes
• Nonequilibrium work distribution of a quantum harmonic oscillator
• Theory of Systematic Computational Error in Free Energy Differences
• A "fast growth" method of computing free energy differences
• Fluctuation theorems for quantum master equations
• Dissipation and lag in irreversible processes
• Comparison of free energy methods for molecular systems
• Lower bounds on dissipation upon coarse graining
• Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
• Boosting work characteristics and overall heat engine performance via shortcuts to adiabaticity: quantum and classical systems
• Entropy fluctuation theorems in driven open systems: application to electron counting statistics
• Estimation of Thermodynamic Observables in Lattice Field Theories with Deep Generative Models
• Escorted Free Energy Simulations: Improving Convergence by Reducing Dissipation
• Stochastic thermodynamics: From principles to the cost of precision
• Work fluctuations and Jarzynski equality in stochastic resetting
• Distribution of work in isothermal non-equilibrium processes
• On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example
• Calculating potentials of mean force and diffusion coefficients from nonequilibirum processes without Jarzynski's equality
• A quantum version of free energy - irreversible work relations
• Population Annealing with Weighted Averages: A Monte Carlo Method for Rough Free Energy Landscapes
• The Wigner Entropy Production Rate
• Generalization of the Second Law for a Nonequilibrium Initial State
• Non-equilibrium work relations
• Fluctuation relations in simple examples of non-equilibrium steady states
• Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
• Optimized free energies from bidirectional single-molecule force spectroscopy
• Fluctuation Theorems of Brownian Particles Controlled by a Maxwell's Demon
• Dynamical phase transition for current statistics in a simple driven diffusive system
• Non-equilibrium work fluctuations for oscillators in non-Markovian baths
• Optimal driving of isothermal processes close to equilibrium
• Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
• Quantum Fluctuation Relations for the Lindblad Master Equation
• Fluctuation theorem for counting-statistics in electron transport through quantum junctions
• A proof of Jarzynski's non-equilibrium work theorem for dynamical systems that conserve the canonical distribution
• Active Brownian Heat Engines
• A Quantum Analogue of the Jarzynski Equality
• Fluctuations in ballistic transport from Euler hydrodynamics
• Nonequilibrium Equalities in Absolutely Irreversible Processes
• A charged particle in a magnetic field - Jarzynski Equality
• Path integral approach to quantum thermodynamics
• Transport fluctuations in integrable models out of equilibrium
• Quantum work statistics of linear and nonlinear parametric oscillators
• Tracing the minimum-energy path on the free-energy surface
• Work probability distribution in systems driven out of equilibrium
• Integral Quantum Fluctuation Theorems under Measurement and Feedback control
• On the work distribution for the adiabatic compression of a dilute classical gas
• Population Monte Carlo algorithms
• Jarzynski equality for quantum stochastic maps
• Comparison of work fluctuation relations
• Equilibrium free energies from fast-switching trajectories with large time steps
• Non-equilibrium equalities with unital quantum channels
• Thermodynamic control -- an old paradigm with new applications
• Bayesian estimates of free energies from nonequilibrium work data in the presence of instrument noise
• Probing molecular free energy landscapes by periodic loading
• Continuous time random walk for open systems: Fluctuation theorems and counting statistics
• Jarzynski equation for a simple quantum system: Comparing two definitions of work
• Entropy production and work fluctuation relations for a single particle in active bath
• Harnessing symmetry to control quantum transport
• Schwinger-Keldysh formalism II: Thermal equivariant cohomology
• The "footprints'' of irreversibility
• Entropy production for mechanically or chemically driven biomolecules
• Second law of thermodynamics at stopping times
• Experimental verification of a Jarzynski-related information-theoretic equality using a single trapped ion
• Dynamic phase transitions in simple driven kinetic networks
• Autonomous conversion of information to work in quantum dots
• Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states
• Estimate of the free energy difference in mechanical systems from work fluctuations: experiments and models
• Statistical properties of entropy production derived from fluctuation theorems
• Work distribution for the driven harmonic oscillator with time-dependent strength: Exact solution and slow driving
• Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors
• Unifying approach for fluctuation theorems from joint probability distributions
• QCD thermodynamics from lattice calculations with non-equilibrium methods: The SU(3) equation of state
• Asymptotics of work distributions: The pre-exponential factor
• Ligand-induced stabilization of the aptamer terminal helix in the add adenine riboswitch
• Properties and Applications of the Kirkwood-Dirac Distribution
• Optimal estimators and asymptotic variances for nonequilibrium path-ensemble averages
• Non-Markovian quantum thermodynamics: laws and fluctuation theorems
• Stochastic thermodynamics for delayed Langevin systems
• Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry
• Non-equilibrium fluctuations for linear diffusion dynamics
• Thermal out-of-time-order correlators, KMS relations, and spectral functions
• Superoperator Representation of Nonlinear Response; Unifying Quantum Field and Mode Coupling Theories
• Work fluctuations in a time-dependent harmonic potential: rigorous results and beyond the overdamped limit
• Asymptotics of work distributions in non-equilibrium systems
• Exchange Fluctuation Theorem for correlated quantum systems
• Stochastic normalizing flows as non-equilibrium transformations
• Jarzynski equality for the Jepsen gas
• Dynamical entropy of dense QCD states
• Reconstructing the free energy landscape of a polyprotein by single-molecule experiments
• Thermodynamic Uncertainty Relations for Bosonic Otto Engines
• Work as an external quantum observable and an operational quantum work fluctuation theorem
• Work distribution and path integrals in general mean-field systems
• Quantum nonequilibrium equalities with absolute irreversibility
• Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes
• Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field
• Validity of nonequilibrium work relations for the rapidly expanding quantum piston
• Fundamental Theory of Statistical Particle Dynamics
• Joint probability distributions and fluctuation theorems
• Work fluctuations, transient violations of the second law and free-energy recovery methods: Perspectives in Theory and Experiments
• Concentration inequalities for mean field particle models
• Work distribution functions in polymer stretching experiments
• Cortical phase transitions, non-equilibrium thermodynamics and the time-dependent Ginzburg-Landau equation
• On the efficiency of path sampling methods for the calculation of free energies from non-equilibrium simulations
• Quantum-Classical Correspondence Principle for Work Distributions in a Chaotic System
• Nonequilibrium Steady State in Open Quantum Systems: Influence Action, Stochastic Equation and Power Balance
• Quantum entropy production in phase space
• Jarzynski equality for the transitions between nonequilibrium steady states
• Jarzynski's theorem for lattice gauge theory
• Statistics of Entropy Production in Linearized Stochastic System
• Interference of Identical Particles and the Quantum Work Distribution
• Detailed Fluctuation Theorems: A Unifying Perspective
• Quantum annealing with Jarzynski equality
• Optical tweezers as a mathematically driven spatio-temporal potential generator
• Differentiable Molecular Simulations for Control and Learning
• Non-equilibrium steady state of a driven levitated particle with feedback cooling
• Nonequilibrium Steady State Driven by a Nonlinear Drift Force
• Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
• Dissipation and the Relaxation to Equilibrium
• Jarzynski Equality, Crooks Fluctuation Theorem and the Fluctuation Theorems of Heat for Arbitrary Initial States
• Entropy and density of states from isoenergetic nonequilibrium processes
• Work probability distribution in single molecule experiments
• Jarzynski Equality for Driven Quantum Field Theories
• The open Heisenberg chain under boundary fields: a magnonic logic gate
• A field-theoretic approach to nonequilibrium work identities
• Computation of free energy differences through nonequilibrium stochastic dynamics: the reaction coordinate case
• An autonomous quantum machine to measure the thermodynamic arrow of time
• Load-velocity-temperature relationship in frictional response of microscopic contacts
• Generalized Clausius relation and power dissipation in non equilibrium stochastic systems
• On the stochastic thermodynamics of fractional Brownian motion
• Comparison of free energy estimators and their dependence on dissipated work
• Thermodynamics of active matter: Tracking dissipation across scales
• Stochastic thermodynamics of relativistic Brownian motion
• Quantum algorithms from fluctuation theorems: Thermal-state preparation
• Protein mechanical unfolding: a model with binary variables
• A theoretical interpretation of variance-based convergence criteria in perturbation-based theories
• Quantum information geometry of driven CFTs
• Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems
• Heat fluctuations and initial ensembles
• Entanglement entropy from non-equilibrium Monte Carlo simulations
• Quantum coherence and criticality in irreversible work
• Single molecule pulling with large time steps
• Manipulating phonons of a trapped-ion system using optical tweezers
• Diffusion Probabilistic Models for 3D Point Cloud Generation
• Exact results for the finite time thermodynamic uncertainty relation
• Construction and Optimization of the Quantum Analog of Carnot Cycles
• Path integral analysis of Jarzynski's equality: Analytical results
• Hamiltonian Annealed Importance Sampling for partition function estimation
• Nonequilibrium steady state thermodynamics and fluctuations for stochastic systems
• Inflow rate, a time-symmetric observable obeying fluctuation relations
• Nonequilibrium thermodynamics at the microscale: Work relations and the second law
• Optimal protocols for Hamiltonian and Schrödinger dynamics
• On the Use of Local Diffusion Models for Path Ensemble Averaging in Potential of Mean Force Computations
• Infinite family of second-law-like inequalities
• Equilibrium Sampling From Nonequilibrium Dynamics
• Finite size bath in qubit thermodynamics
• Asymptotics of work distributions in a stochastically driven system
• Unstoppable Attack: Label-Only Model Inversion via Conditional Diffusion Model
• Stochastic thermodynamics with arbitrary interventions
• Quantum free energy differences from non-equilibrium path integrals: II. Convergence properties for the harmonic oscillator
• Stochastic resonance and heat fluctuations in a driven double-well system
• Quantum free energy differences from non-equilibrium path integrals: I. Methods and numerical application
• Toward physical realizations of thermodynamic resource theories
• Stochastic thermodynamics of a quantum dot coupled to a finite-size reservoir
• Work exchange between quantum systems: the spin-oscillator model
• Energetics and performance of a microscopic heat engine based on exact calculations of work and heat distributions
• Optimum bias for fast-switching free energy calculations
• Formation of the internal structure of solids under severe action
• Quantum thermodynamics and work fluctuations with applications to magnetic resonance
• Evaluation of free energy landscapes from manipulation experiments
• Mechanical response of random heteropolymers
• Nonequilibrium Quantum Free Energy and Effective Temperature, Generating Functional and Influence Action
• Capturing exponential variance using polynomial resources: applying tensor networks to non-equilibrium stochastic processes
• Derivation of quantum work equalities using quantum Feynman-Kac formula
• Work distribution functions for hysteresis loops in a single-spin system
• Calculation of absolute free energy of binding for theophylline and its analogs to RNA aptamer using nonequilibrium work values
• Classical open systems with nonlinear nonlocal dissipation and state-dependent diffusion: Dynamical responses and the Jarzynski equality
• Microscopic Work Distribution of Small System in Quantum Isothermal Process
• An Inflow Mechanism for Hydrodynamic Entropy
• Stochastic Thermodynamics of a Particle in a Box
• Non-adiabatic entropy production for non-Markov dynamics
• Multilevel quantum thermodynamic swap engines
• Accurate and Conservative Estimates of MRF Log-likelihood using Reverse Annealing
• Non-Equilibrium Statistical Physics of Currents in Queuing Networks
• Quantum corrections of work statistics in closed quantum systems
• Temperature-extended Jarzynski relation: Application to the numerical calculation of the surface tension
• Probability distributions of the work in the 2D-Ising model
• Discrete fluctuations in memory erasure without energy cost
• Understanding quantum work in a quantum many-body system
• Quantum Jarzynski equality of measurement-based work extraction
• Multiple Potentials of Mean Force from Biased Experiments Along a Single Coordinate
• Relativistic Fluctuation Theorems: Theory and explicit examples
• A measure of the violation of the 'detailed balance' criterion: a possible definition of a 'distance' from equilibrium
• Stochastic thermodynamics based on incomplete information: Generalized Jarzynski equality with measurement errors with or without feedback
• Population Annealing Simulations of a Binary Hard Sphere Mixture
• A generalized integral fluctuation theorem for diffusion processes
• Revealing the strokes of autonomous quantum heat engines with work and heat fluctuations
• Path sampling with Stochastic Dynamics: Some new Algorithms
• The Differential Entropy of Mixtures: New Bounds and Applications
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Irreversibility at zero temperature from the perspective of the environemnt
• Linear Stochastic Thermodynamics
• Strong coupling from non-equilibrium Monte Carlo simulations
• Fluctuations of the heat exchanged between two quantum spin chains
• The kinetic exclusion process: a tale of two fields
• Jarzynski equality for conditional stochastic work
• Posterior probability and fluctuation theorem in stochastic processes
• Demonstration of Jarzynski's Equality in Open Quantum Systems Using a Step-Wise Pulling Protocol
• Second law of thermodynamics for batteries with vacuum state
• Non-normality and non-monotonic dynamics in complex reaction networks
• Negative Entropy Production in Oscillatory Processes
• Stochastic thermodynamics with odd controlling parameters
• Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle
• Fluctuation relations and strong inequalities for thermally isolated systems
• Functional field integral approach to quantum work
• Deterministic Derivation of NonEquilibrium Free Energy Theorems for Natural Isothermal Isobaric Systems
• Thermodynamic inference based on coarse-grained data or noisy measurements
• Non-linear Onsager relations for Gaussian quantum maps
• The Jarzynski Identity and the AdS/CFT Duality
• Non-equilibrium driven by an external torque in the presence of a magnetic field
• Total entropy production fluctuation theorems in a nonequilibrium time-periodic steady state
• Nonequilibrium work on spin glasses in longitudinal and transverse fields
• Responses to applied forces and the Jarzynski equality in classical oscillator systems coupled to finite baths: An exactly solvable non-dissipative non-ergodic model
• Non-equilibrium Relations for Spin Glasses with Gauge Symmetry
• On a non-linear Fluctuation Theorem for the aging dynamics of disordered trap models
• Duality transformations and the entanglement entropy of gauge theories
• Fluctuation-Dissipation Relation for Open Quantum Systems in Nonequilibrium Steady State
• Microcanonical work and fluctuation relations for an open system: An exactly solvable model
• Instantaneous equilibrium Transport for Brownian systems under time-dependent temperature and potential variations: Reversibility, Heat and work relations, and Fast Isentropic process
• A Physical Quantum Agent
• Heat generation and transport due to time-dependent forces
• Second Law of Thermodynamics without Einstein Relation
• Statistics of work performed by optical tweezers with general time-variation of their stiffness
• Extremely rare ultra-fast non-equilibrium processes can be close to equilibrium: RNA unfolding and refolding
• On non-equilibrium physics and string theory
• Principle of Minimal Work Fluctuations
• Derivation of the not-so-common fluctuation theorems
• Three heats in strongly coupled system and bath
• Linear response theory and transient fluctuation theorems for diffusion processes: a backward point of view
• The way from microscopic many-particle theory to macroscopic hydrodynamics
• Precision bounds for multiple currents in open quantum systems
• Coexisting Ordered States, Local Equilibrium-like Domains, and Broken Ergodicity in a Non-turbulent Rayleigh-Bénard Convection at Steady-state
• Non-Equilibrium Thermodynamics and Stochasticity, A Phenomenological Look on Jarzynki's Equality
• Spectral signatures of symmetry-breaking dynamical phase transitions
• Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
• Quantum mean-square predictors and thermodynamics
• Quality of the Thermodynamic Uncertainty Relation for Fast and Slow Driving
• Non-equilibrium fluctuation theorems in the presence of local heating
• The Glass Transition and the Jarzynski Equality
• Fluctuation relations: a pedagogical overview
• Exchange fluctuation theorems for a chain of interacting particles in presence of two heat baths
• Characterizing irreversibility in open quantum systems
• Jarzynski's equality, fluctuation theorems, and variance reduction: Mathematical analysis and numerical algorithms
• Effective potentials between gold nano crystals -- functional dependence on the temperature
• Noncyclic and nonadiabatic geometric phase for counting statistics
• Entropy balance and Information processing in bipartite and non-bipartite composite systems
• Computation of the chemical potential and solubility of amorphous solids
• Free energies of molecular clusters determined by guided mechanical disassembly
• Partial entropy production in heat transport
• Verifying detailed fluctuation relations for discrete feedback-controlled quantum dynamics
• Characterizing steady state and transient properties of reaction-diffusion systems
• Thermodynamics as a nonequilibrium path integral
• Extracting work from the magnetic field coupled Brownian particles
• Entropy production as change in observational entropy
• Temperature measurement from perturbations
• Nonequilibrium work performed in quantum annealing
• Semi-classical work and quantum work identities in Weyl representation
• Joint fluctuation theorems for sequential heat exchange
• Lifshitz scaling, ringing black holes, and superradiance
• Heat flow reversal in a trapped-ion simulator
• Quantum process inference for a single qubit Maxwell's demon
• Transient exchange fluctuation theorems for heat using Hamiltonian framework: Classical and Quantum
• Statistical work-energy theorems in deterministic dynamics
• Symmetries of cyclic work distributions for an isolated harmonic oscillator
• Asymmetry of the work probability distribution
• Quantum Parametric Oscillator Heat Engines in Squeezed Thermal Baths: Foundational Theoretical Issues
• Hydrodynamics of thermal active matter
• Getting Your Eye In: A Bayesian Analysis of Early Dismissals in Cricket
• Active Fluctuation Symmetries
• Work statistics in slow thermodynamic processes
• Optimal protocols and the Jarzynski equality
• Exact distribution for work and stochastic efficiency of an isothermal machine
• On the molecular dynamics in the hurricane interactions with its environment
• Density-Dependent Analysis of Nonequilibrium Paths Improves Free Energy Estimates
• Nonequilibrium Steady State and Heat Transport in Nonlinear Open Quantum Systems: Stochastic Influence Action and Functional Perturbative Analysis
• Optimal schedules for annealing algorithms
• An Introduction to Monte Carlo Simulation of Statistical physics Problem
• Fluctuation Theorems on Nishimori Line
• Two famous results of Einstein derived from the Jarzynski equality
• Microscopic reversibility of quantum open systems
• Scaling of Stochastic Normalizing Flows in $\mathrm{SU}(3)$ lattice gauge theory
• Free Energy Evaluation Using Marginalized Annealed Importance Sampling
• Path integral approach to the calculation of the characteristic function of work
• Work relations with measurement and feedback control on nonuniform temperature systems
• Jarzynski matrix equality: calculating free energy difference by non-equilibrium simulations with an arbitrary initial distribution
• Emergence of a fluctuation relation for heat in nonequilibrium Landauer processes
• Large deviation function and fluctuation theorem for classical particle transport
• Work fluctuation and total entropy production in nonequilibrium processes
• Nonequilibrium work equalities in isolated quantum systems
• Relaxation to equilibrium of expectation values in macroscopic quantum systems
• The Jarzynski equality in van der Pol and Rayleigh oscillators
• A Note on Non-equilibrium Work Fluctuations and Equilibrium Free Energies
• Work distribution in manipulated single biomolecules
• Relevance of the speed and direction of pulling in simple modular proteins
• Work probability distribution and tossing a biased coin
• Meta-work and the analogous Jarzynski relation in ensembles of dynamical trajectories
• Estimation of the equilibrium free energy for glasses using the Jarzynski equality
• Work relations for a system governed by Tsallis statistics
• Homeostatic and Adaptive Energetics: Nonequilibrium Fluctuations Beyond Detailed Balance in Voltage-Gated Ion Channels
• Toward the nonequilibrium thermodynamic analog of complexity and the Jarzynski identity
• Spatial Monte Carlo Integration with Annealed Importance Sampling
• Thermal Contact I : Symmetries ruled by Exchange Entropy Variations
• Thermodynamics of memory erasure via a spin reservoir
• Work Required for Selective Quantum Measurement
• Realization of all-optical underdamped stochastic Stirling engine
• Theory of Non-equilibrium Asymptotic State Thermodynamics: Interacting Ehrenfest Urn Ring as an Example
• Work distribution function for a Brownian particle driven by a nonconservative force
• Nonequilibrium thermodynamics perspectives for the monotonicity of the renormalization group flow
• Thermodynamic fluctuation theorems govern human sensorimotor learning
• Full Counting Statistics and Fluctuation Theorem for the Currents in the Discrete Model of Feynman's Ratchet
• Ludwig Boltzmann, Transport Equation and the Second Law
• Nonequilibrium free energy estimation conditioned on measurement outcomes
• Geometric view of stochastic thermodynamics for non-equilibrium steady states
• Nonequilibrium work energy relation for non-Hamiltonian dynamics
• Learned Mappings for Targeted Free Energy Perturbation between Peptide Conformations
• Information Erasure
• Topological excitations in statistical field theory at the upper critical dimension
• Annealed Importance Sampling with q-Paths
• Upper bound for the average entropy production based on stochastic entropy extrema
• Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
• Fluctuation relation in continuous-time random walks driven by an external field
• Many-body perturbation theory and fluctuation relations for interacting population dynamics
• First and Second Laws of Information Processing by Nonequilibrium Dynamical States
• Nonequilibrium relations in spin glasses
• Universal interpretation of efficacy parameter in perturbed nonequilibrium systems
• Characterizing dynamical transitions in bistable system using non-equilibrium measurement of work
• New solid phase of dipolar systems
• The information geometry of 2-field functional integrals
• Entropy production in a non-Markovian environment
• Operational work fluctuation theorem for open quantum systems
• Modified Jarzynski equality in a microcanonical ensemble
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Equilibrium binding energies from fluctuation theorems and force spectroscopy simulations
• Likelihood Ratio Exponential Families
• Quantum work fluctuations versus macrorealism in terms of non-extensive entropies
• MCMC Variational Inference via Uncorrected Hamiltonian Annealing
• Calculating the free energy difference by applying the Jarzynski equality to a virtual integrable system
• Nonequilibrium free energy during polymer chain growth
• Steady-state thermodynamics for population dynamics in fluctuating environments with side information
• Field Theory of the RNA Freezing Transition
• Work Fluctuations in Ergotropic Heat Engines
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Non-Markovianity, entropy production, and Jarzynski equality
• Using Markov transition matrices to generate trial configurations in Markov chain Monte Carlo simulations
• Quasistatic work processes: When slowness implies certainty
• Predicting the unobserved: a statistical mechanics framework for non-equilibrium material response with quantified uncertainty
• Information-to-work conversion in single molecule experiments: from discrete to continuous feedback
• Jarzyski's equality and Crooks' fluctuation theorem for general Markov chains with application to decision-making systems
• Free energy differences : Representations, estimators, and sampling strategies
• Single energy measurement Integral Fluctuation theorem and non-projective measurements
• Work Statistics and Adiabatic Assumption in Nonequilibrium Many-Body Theory
• Extrapolative Analysis of Fast-Switching Free Energy Estimates in a Molecular System
• Stochastic Dynamics of Extended Objects in Driven Systems: I. Higher-Dimensional Currents in the Continuous Setting
• Variational Representations of Annealing Paths: Bregman Information under Monotonic Embedding
• Extended Fluctuation Theorems for Repeated Measurements and Feedback within Hamiltonian Framework
• Duration of local violations of the second law of thermodynamics along single trajectories in phase space
• Reformulating non-equilibrium steady-states and generalised Hopfield discrimination
• Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes
• Geometric Regularity in Deterministic Sampling Dynamics of Diffusion-based Generative Models
• Multidimensional integration through Markovian sampling under steered function morphing: a physical guise from statistical mechanics
• On the energetic analysis of autonomous quantum systems
• Dynamics of a Mechanical System with Multiple Degrees of Freedom out of Thermal Equilibrium
• A possible generalized form of Jarzynski equality
• Monotonicity of RG flow in emergent dual holography of worldsheet nonlinear $\sigma$ model
• Symmetry for the duration of entropy-consuming intervals
• Thermodynamic Emergence of a Brownian Motor
• Probing Kirkwood-Dirac nonpositivity and its operational implications via moments
• Characteristic oscillations in frequency-resolved heat dissipation of linear time-delayed Langevin systems: Approach from the violation of the fluctuation-response relation
• Thermodynamic uncertainty relation for underdamped dynamics driven by time-dependent protocols
• Molecular dynamics study on a nonequilibrium motion of a colloidal particle driven by an external torque
• Quantum Coherence and Anomalous Work Extraction in Qubit Gate Dynamics
• Entropic bonding of the type 1 pilus from experiment and simulation
• Some new results on relative entropy production, time reversal, and optimal control of time-inhomogeneous diffusion processes
• Proposal of a Checking Parameter in the Simulated Annealing Method Applied to the Spin Glass Model
• Thermodynamic significance of QUBO encoding on quantum annealers
• Consistent expansion of the Langevin propagator with application to entropy production
• Nonequilibrium distribution for stochastic thermodynamics
• Heat exchange and fluctuation in Gaussian thermal states in the quantum realm
• Work distribution of an expanding gas and transverse energy production in relativistic heavy ion collisions
• Counterfactual Thermodynamics: Extracting work from a lack of macroscopic change
• Work fluctuation theorems and free energy from kinetic theory
• Dynamic Properties of Water inside Graphene Oxide Membranes
• Fluctuation-Dissipation Relation for a Quantum Brownian Oscillator in a Parametrically Squeezed Thermal Field
• Nonequilibrium interactions between ideal polymers and a repulsive surface
• Improving the efficiency of finite-time memory erasure with potential barrier shaping
• Sampling metastable systems using collective variables and Jarzynski-Crooks paths
• The arrow of time (second law) as a randomness-driven emergent property of large systems
• Applications of Jarzynski's relation in lattice gauge theories
• Equilibrium free energy differences at different temperatures from a single set of nonequilibrium transitions
• Nonequilibrium Thermodynamics of Time-dependent Langevin Systems: Energy Balance Relation and the Extended Form of the Second Law
• Nonequilibrium path-ensemble averages for symmetric protocols
• Microscopyc description of the Photothermal increase of temperature for metallic nanoparticles excited with short-laser pulses
• Prior-predictive value from fast-growth simulations: Error analysis and bias estimation
• Heat diffusion related damping process in highly precise coarse-grained model for SWCNT's nonlinearity
• Coexistence of distinct nonuniform nonequilibrium steady states in Ehrenfest multiurn model on a ring
• Fluctuation theorems for autonomous work
• Geometry of restricted information: the case of quantum thermodynamics