Anomalous thermodynamics at the micro-scale

Abstract

Particle motion at the micro-scale is an incessant tug-of-war between thermal fluctuations and applied forces on one side, and the strong resistance exerted by fluid viscosity on the other. Friction is so strong that completely neglecting inertia - the overdamped approximation - gives an excellent effective description of the actual particle mechanics. In sharp contrast with this result, here we show that the overdamped approximation dramatically fails when thermodynamic quantities such as the entropy production in the environment is considered, in presence of temperature gradients. In the limit of vanishingly small, yet finite inertia, we find that the entropy production is dominated by a contribution that is anomalous, i.e. has no counterpart in the overdamped approximation. This phenomenon, that we call entropic anomaly, is due to a symmetry-breaking that occurs when moving to the small, finite inertia limit. Strong production of anomalous entropy is traced back to intense sweeps down the temperature gradient.

4 pages, 1 figure, supplementary information uploaded as a separate pdf file (see other formats link)

References in corpus (1)

• Fluctuation Relations for Diffusion Processes

Cited by in corpus (77)

• Generic Properties of Stochastic Entropy Production
• Hidden entropy production and work fluctuations in an ideal active gas
• Multiple-scale stochastic processes: decimation, averaging and beyond
• Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
• Heat, temperature and Clausius inequality in a model for active brownian particles
• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• Fluctuation Theorem for Hidden Entropy Production
• Uncertainty relations for underdamped Langevin dynamics
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Large Deviation Function for a Driven Underdamped Particle in a Periodic Potential
• Information-theoretical bound of the irreversibility in thermal relaxation processes
• Overdamped stochastic thermodynamics with multiple reservoirs
• Entropy production of nano systems with timescale separation
• Thermodynamics of emergent structure in active matter
• Coarse-grained entropy production with multiple reservoirs: unraveling the role of time-scales and detailed balance in biology-inspired systems
• Time reversibility and nonequilibrium thermodynamics of second-order stochastic processes
• Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions
• Entropy production for coarse-grained dynamics
• Stochastic and Quantum Thermodynamics of Driven RLC Networks
• Process interpretation of current entropic bounds
• Information propagation in multilayer systems with higher-order interactions across timescales
• On the stochastic thermodynamics of fractional Brownian motion
• Entropic anomaly and maximal efficiency of microscopic heat engines
• Anomalous fluxes in overdamped Brownian dynamics with Lorentz force
• Stochastic thermodynamics of fluctuating density fields: Non-equilibrium free energy differences under coarse-graining
• Non-equilibrium thermodynamics of diffusion in fluctuating potentials
• Inertial effects on the Brownian gyrator
• Model simplification and loss of irreversibility
• Diffusion in nonuniform temperature and its geometric analog
• Heat leakage in overdamped harmonic systems
• Functionals in stochastic thermodynamics: how to interpret stochastic integrals
• A microscopic theory of Curzon-Ahlborn heat engine
• Turbophoresis in forced inhomogeneous turbulence
• Stochastic entropy production arising from nonstationary thermal transport
• A unified picture of strong coupling stochastic thermodynamics and time reversals
• Entropy production in Master Equations and Fokker-Planck Equations: facing the coarse-graining and recovering the information loss
• Linear and non-linear thermodynamics of a kinetic heat engine with fast transformations
• Entropy production of a Brownian ellipsoid in the overdamped limit
• Non-isothermal fluctuating hydrodynamics and Brownian motion
• Energy versus information based estimations of dissipation using a pair of magnetic colloidal particles
• Universal bounds on the performance of information-thermodynamic engine
• Effective thermodynamics of two interacting underdamped Brownian particles
• Quantifying the validity and breakdown of the overdamped approximation in stochastic thermodynamics: Theory and experiment
• Entropy production of active particles in underdamped regime
• Statistical physics of inhomogeneous transport: Unification of diffusion laws and inference from first-passage statistics
• Optimal power extraction from active particles with hidden states
• Effective Entropy Production and Thermodynamic Uncertainty Relation of Active Brownian Particles
• Scaling of Entropy Production under Coarse Graining in Active Disordered Media
• Quantum tight-binding chains with dissipative coupling
• Overdamped dynamics of a Brownian particle levitated in a Paul trap
• Martingale structure for general thermodynamic functionals of diffusion processes under second-order averaging
• The Heat Distribution of the Underdamped Langevin Equation
• Thermodynamic inference based on coarse-grained data or noisy measurements
• Memory and irreversibility on two-dimensional overdamped Brownian dynamics
• Drift induced by dissipation
• Fractal catastrophes
• Gambling Carnot Engine
• Invariance of Steady State Thermodynamics between Different Scales of Description
• Unattainability of Carnot efficiency in thermal motors: Coarse-graining and entropy production of Feynman-Smoluchowski ratchet
• Entropy Anomaly in Langevin-Kramers Dynamics with a Temperature Gradient, Matrix Drag, and Magnetic Field
• The Entropy Anomaly and the Linear Irreversible Thermodynamics
• Dynamics of a polymer under multi-gradient fields
• Retainability of canonical distributions for a Brownian particle controlled by a time-dependent harmonic potential
• Information propagation in Gaussian processes on multilayer networks
• Work relations for a system governed by Tsallis statistics
• Free energy for non-equilibrium quasi-stationary states
• Macroscopic fluxes and local reciprocal relation in second-order stochastic processes far from equilibrium
• Violation of the second fluctuation-dissipation relation and entropy production in nonequilibrium medium
• Adaptation and irreversibility in microevolution
• Covariant Non-equilibrium Thermodynamics from Ito-Langevin Dynamics
• Maximum entropy principle for stationary states underpinned by stochastic thermodynamics
• Coarse Graining Nonisothermal Microswimmer Suspensions
• Excess and loss of entropy production for different levels of coarse-graining
• Statistics of Thermal Avalanches in Driven Amorphous Systems
• Extracting energy from non-equilibrium fluctuations without using information
• Brownian magneto-gyrator as a tunable microengine
• Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining