Entropy Production in Mesoscopic Stochastic Thermodynamics: Nonequilibrium Kinetic Cycles Driven by Chemical Potentials, Temperatures, and Mechanical Forces

Abstract

Nonequilibrium thermodynamics (NET) investigates processes in systems out of global equilibrium. On a mesoscopic level, it provides a statistical dynamic description of various complex phenomena such as chemical reactions, ion transport, diffusion, thermochemical, thermomechanical and mechanochemical fluxes. In the present review, we introduce a mesoscopic stochastic formulation of NET by analyzing entropy production in several simple examples. The fundamental role of nonequilibrium steady-state cycle kinetics is emphasized. The statistical mechanics of Onsager's reciprocal relations in this context is elucidated. Chemomechanical, thermomechanical, and enzyme-catalyzed thermochemical energy transduction processes are discussed. It is argued that mesoscopic stochastic NET provides a rigorous mathematical basis of fundamental concepts needed for understanding complex processes in chemistry, physics and biology, and which is also relevant for nanoscale technological advances.

References in corpus (14)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Three detailed fluctuation theorems
• Stochastic thermodynamics under coarse-graining
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Thermoelectric efficiency at maximum power in a quantum dot
• The Force Exerted by a Molecular Motor
• The Physical Origins of Entropy Production, Free Energy Dissipation and their Mathematical Representations
• Mesoscopic Nonequilibrium Thermodynamics of Single Macromolecules and Dynamic Entropy-Energy Compensation
• The Mathematical Theory of Molecular Motor Movement and Chemomechanical Energy Transduction
• Generalized Haldane Equation and Fluctuation Theorem in the Steady State Cycle Kinetics of Single Enzymes
• Dissipation, Generalized Free Energy, and a Self-consistent Nonequilibrium Thermodynamics of Chemically Driven Open Subsystems
• Statistical Thermodynamics of General Minimal Diffusion Processes: Constuction, Invariant Density, Reversibility and Entropy Production
• Equations for Stochastic Macromolecular Mechanics of Single Proteins: Equilibrium Fluctuations, Transient Kinetics and Nonequilibrium Steady-State
• Thermodynamics of the General Diffusion Process: Equilibrium Supercurrent and Nonequilibrium Driven Circulation with Dissipation

Cited by in corpus (27)

• Theory of nonequilibrium free energy transduction by molecular machines
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• Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes
• Mesoscopic Kinetic Basis of Macroscopic Chemical Thermodynamics: A Mathematical Theory
• Allocating dissipation across a molecular machine cycle to maximize flux
• Nonequilibrium Thermodynamic Formalism of Nonlinear Chemical Reaction Systems with Waage-Guldberg's Law of Mass Action
• Field Theory of Reaction-Diffusion: Mass Action with an Energetic Variational Approach
• Energetic and entropic cost due to overlapping of Turing-Hopf instabilities in presence of Cross Diffusion
• Cycle Flux Ranking of Network Analysis in Quantum Thermal Device
• Stochastic thermodynamics and entropy production of chemical reaction systems
• Mathematical Representation of Clausius' and Kelvin's Statements of the Second Law and Irreversibility
• Pulling cargo increases the precision of molecular motor progress
• Bivectorial Nonequilibrium Thermodynamics: Cycle Affinity, Vorticity Potential, and Onsager's Principle
• Nonequilibrium model of short-range repression in gene transcription regulation
• Stochastic thermodynamics and modes of operation of a ribosome: a network theoretic perspective
• Nonlinear Stochastic Dynamics of Complex Systems, I: A Chemical Reaction Kinetic Perspective with Mesoscopic Nonequilibrium Thermodynamics
• Nonlinear Stochastic Dynamics of Complex Systems, II: Potential of Entropic Force in Markov Systems with Nonequilibrium Steady State, Generalized Gibbs Function and Criticality
• Finite-time fluctuation theorem for diffusion-influenced surface reactions
• The Statistical Foundation of Entropy in Extended Irreversible Thermodynamics
• Fluctuation Theorem on a Riemannian Manifold
• Representations and Divergences in the Space of Probability Measures and Stochastic Thermodynamics
• Nonlinear Stochastic Dynamics of Complex Systems, III: Noneqilibrium Thermodynamics of Self-Replication Kinetics
• Dynamics of systems with varying number of particles: from Liouville equations to general master equations for open systems
• Ternary Representation of Stochastic Change and the Origin of Entropy and Its Fluctuations
• Entropy Production in Random Billiards
• Mesoscopic and Macroscopic Entropy Balance Equations in a Stochastic Dynamics and Its Deterministic Limit
• Recent Advances in Conservation-Dissipation Formalism for Irreversible Processes