Methods and Conversations in (Post)Modern Thermodynamics

Abstract

Lecture notes after the doctoral school (Post)Modern Thermodynamics held at the University of Luxembourg, December 2022, 5-7, covering and advancing continuous-time Markov chains, network theory, stochastic thermodynamics, large deviations, deterministic and stochastic chemical reaction networks, metastability, martingales, quantum thermodynamics, and foundational issues.

arXiv commentSubmission to SciPost

References in corpus (92)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• The large deviation approach to statistical mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• String Method for the Study of Rare Events
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Fluctuation theorem for stochastic dynamics
• Thermodynamic uncertainty relation for biomolecular processes
• Steady State Thermodynamics of Langevin Systems
• Supercooled Liquids for Pedestrians
• Dissipation bounds all steady-state current fluctuations
• Macroscopic fluctuation theory
• The Fluctuation Theorem as a Gibbs Property
• Universality of efficiency at maximum power
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Direct evaluation of large-deviation functions
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Nonequilibrium Thermodynamics of Chemical Reaction Networks: Wisdom from Stochastic Thermodynamics
• The Three Faces of the Second Law: II. Fokker-Planck Formulation
• Fluctuation theorem for currents in open quantum systems
• Computation of extreme heat waves in climate models using a large deviation algorithm
• Simulating rare events in dynamical processes
• Stochastic thermodynamics of chemical reaction networks
• Generic Properties of Stochastic Entropy Production
• Universal bound on the efficiency of molecular motors
• Fundamental Bounds on First Passage Time Fluctuations for Currents
• Irreversible thermodynamics of open chemical networks I: Emergent cycles and broken conservation laws
• First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
• Unifying Thermodynamic Uncertainty Relations
• Probing rare physical trajectories with Lyapunov weighted dynamics
• Generalisation of the Eyring-Kramers transition rate formula to irreversible diffusion processes
• Accelerating diffusions
• Metastable states in glassy systems
• A formal view on 2.5 large deviations and fluctuation relations
• Decision Making in the Arrow of Time
• Local detailed balance
• Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes
• Optimizing active work: Dynamical phase transitions, collective motion, and jamming
• Effective thermodynamics for a marginal observer
• Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
• Information Thermodynamics of Turing Patterns
• Extrinsic noise driven phenotype switching in a self-regulating gene
• Go with the Winners: a General Monte Carlo Strategy
• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
• Thermodynamics of Gambling Demons
• Conservation Laws shape Dissipation
• Thermodynamic Efficiency in Dissipative Chemistry
• Conservation Laws and Work Fluctuation Relations in Chemical Reaction Networks
• Large deviations and dynamical phase transitions in stochastic chemical networks
• Second law of thermodynamics at stopping times
• Integral Fluctuation Relations for Entropy Production at Stopping Times
• Thermodynamics of Chemical Waves
• Thermodynamic consistency of quantum master equations
• Mapping of uncertainty relations between continuous and discrete time
• Effective fluctuation and response theory
• Nonequilibrium Thermodynamics of Non-Ideal Chemical Reaction Networks
• Conservation laws and symmetries in stochastic thermodynamics
• Dynamical Landscape and Multistability of a Climate Model
• Dissipation in noisy chemical networks: The role of deficiency
• Detailed Fluctuation Theorems: A Unifying Perspective
• Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states
• Martingale theory for housekeeping heat
• Estimating Entropy Production Rates with First-Passage Processes
• Finite-time and finite-size scalings in the evaluation of large-deviation functions: Analytical study using a birth-death process
• Six out of equilibrium lectures
• Transient fluctuation theorems for the currents and initial equilibrium ensembles
• Reliability and entropy production in non-equilibrium electronic memories
• Local detailed balance across scales: from diffusions to jump processes and beyond
• Thermodynamics of Concentration vs Flux Control in Chemical Reaction Networks
• Chemical Cloaking
• Role of current fluctuations in nonreversible samplers
• Thermalization induced by quantum scattering
• Stochastic Thermodynamic Cycles of a Mesoscopic Thermoelectric Engine
• Fluctuations of entropy production of a run-and-tumble particle
• Extreme value statistics of edge currents in Markov jump processes and their use for entropy production estimation
• Length and sequence relaxation of copolymers under recombination reactions
• Open Questions on Nonequilibrium Thermodynamics of Chemical Reaction Networks
• Local Detailed Balance : A Microscopic Derivation
• Thermodynamic Control of Activity Patterns in Cytoskeletal Networks
• Glucans monomer-exchange dynamics as an open chemical network
• Beat of a current
• Fisher information of Markovian decay modes - Nonequilibrium equivalence principle, dynamical phase transitions and coarse graining
• Template-directed growth of copolymers
• Derivation of the First Passage Time Distribution for Markovian Process on Discrete Network
• Generalized Continuous Maxwell Demons
• Convergence of the Integral Fluctuation Theorem estimator for nonequilibrium Markov systems
• On data and dimension in chemistry -- irreversibility, concealment and emergent conservation laws
• Multicyclic norias: a first-transition approach to extreme values of the currents

Cited by in corpus (13)

• Nonequilibrium Thermodynamics of Non-Ideal Reaction-Diffusion Systems: Implications for Active Self-Organization
• Mutual Multilinearity of Nonequilibrium Network Currents
• Thermodynamic Circuits I: Association of devices in stationary nonequilibrium
• Martingale approach for first-passage problems of time-additive observables in Markov processes
• Thermodynamics of Growth in Open Chemical Reaction Networks
• Thermodynamic Circuits: Modeling chemical reaction networks with nonequilibrium conductance matrices
• Effective Affinity for Generic Currents in Markov Processes
• Markov generators as non-hermitian supersymmetric quantum Hamiltonians: spectral properties via bi-orthogonal basis and Singular Value Decompositions
• On the area swept by a biased diffusion till its first-exit time: Martingale approach and gambling opportunities
• Diagrammatic expressions for steady-state distribution and static responses in population dynamics
• Thermodynamic Geometric Constraint on the Spectrum of Markov Rate Matrices
• Coarse Graining Photo-Isomerization Reactions: Thermodynamic Consistency and Implications for Molecular Ratchets
• Hyperuniformity in active fluids reshapes nucleation and capillary-wave dynamics