Local detailed balance across scales: from diffusions to jump processes and beyond
arXiv:2101.03968 · doi:10.1103/PhysRevE.103.042114
Abstract
Diffusive dynamics in presence of deep energy minima and weak nongradient forces can be coarse-grained into a mesoscopic jump process over the various basins of attraction. Combining standard weak-noise results with a path integral expansion around equilibrium, we show that the emerging transition rates satisfy local detailed balance (LDB). Namely, the log ratio of the transition rates between nearby basins of attractions equals the free-energy variation appearing at equilibrium, supplemented by the work done by the nonconservative forces along the typical transition path. When the mesoscopic dynamics possesses a large-size deterministic limit, it can be further reduced to a jump process over macroscopic states satisfying LDB. The persistence of LDB under coarse graining of weakly nonequilibrium states is a generic consequence of the fact that only dissipative effects matter close to equilibrium.
arXiv comment8 pages, 3 figures
References in corpus (41)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The large deviation approach to statistical mechanics
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Thermodynamic uncertainty relation for biomolecular processes
- Stochastic thermodynamics under coarse-graining
- Fluctuation theorems for stochastic dynamics
- Ensemble and Trajectory Thermodynamics: A Brief Introduction
- Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
- Thermodynamics with continuous information flow
- Speed Limit for Classical Stochastic Processes
- Discrete-time thermodynamic uncertainty relation
- Stochastic thermodynamic interpretation of information geometry
- Kinetic uncertainty relation
- Unifying Thermodynamic Uncertainty Relations
- Time-information uncertainty relations in thermodynamics
- Generalisation of the Eyring-Kramers transition rate formula to irreversible diffusion processes
- Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
- Non-Markovianity and negative entropy production rates
- Stochastic time-evolution, information geometry and the Cramer-Rao Bound
- The dissipation-time uncertainty relation
- Effective thermodynamics for a marginal observer
- Multiple-scale stochastic processes: decimation, averaging and beyond
- Entropic bounds on currents in Langevin systems
- Fluctuation relations and coarse-graining
- Entropy production and coarse-graining in Markov processes
- Realization of Waddington's Metaphor: Potential Landscape, Quasi-potential, A-type Integral and Beyond
- Perturbative calculation of quasi-potential in non-equilibrium diffusions: a mean-field example
- Exact Coarse Graining Preserves Entropy Production out of Equilibrium
- Thermodynamically Consistent Coarse Graining of Biocatalysts beyond Michaelis--Menten
- A meaningful expansion around detailed balance
- Thermodynamic uncertainty relations under arbitrary control protocols
- Landscapes of Non-gradient Dynamics Without Detailed Balance: Stable Limit Cycles and Multiple Attractors
- Rigorous meaning of McLennan ensembles
- Rate description of Fokker-Planck processes with time dependent parameters
- Detailed Fluctuation Theorems: A Unifying Perspective
- Stochastic Resonance for Non-Equilibrium Systems
- Thermodynamics of Non-Elementary Chemical Reaction Networks
- Non-isothermal fluctuating hydrodynamics and Brownian motion
- Effective thermodynamics of two interacting underdamped Brownian particles
- Local Detailed Balance : A Microscopic Derivation
- Rare switching events in non-stationary systems
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- Linear response in large deviations theory: A method to compute non-equilibrium distributions
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- Dissipation at limited resolutions: Power law and detection of hidden dissipative scales
- Dissipation in Hydrodynamics from Micro- to Macroscale: Wisdom from Boltzmann and Stochastic Thermodynamics
- Stochastic paths controlling speed and dissipation
- Coarse-graining nonequilibrium diffusions with Markov chains
- Coarse Graining Photo-Isomerization Reactions: Thermodynamic Consistency and Implications for Molecular Ratchets
- Entangled criticality and irreversibility in random Markov dynamics