The Three Faces of the Second Law: I. Master Equation Formulation
arXiv:1005.1683 · doi:10.1103/PhysRevE.82.011143
Abstract
We propose a new formulation of stochastic thermodynamics for systems subjected to nonequilibrium constraints (i.e. broken detailed balance at steady state) and furthermore driven by external time-dependent forces. A splitting of the second law occurs in this description leading to three second law like relations. The general results are illustrated on specific solvable models. The present paper uses a master equation based approach.
10 pages, 3 figures
References in corpus (15)
- Dissipation: The phase-space perspective
- Entropy production as correlation between system and reservoir
- Three detailed fluctuation theorems
- Fluctuation theorems for stochastic dynamics
- An Extension of the Fluctuation Theorem
- Quantum-dot Carnot engine at maximum power
- The Three Faces of the Second Law: II. Fokker-Planck Formulation
- The Physical Origins of Entropy Production, Free Energy Dissipation and their Mathematical Representations
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Integral fluctuation theorem for the housekeeping heat
- Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
- The "footprints'' of irreversibility
- Fluctuation symmetries for work and heat
- Minimum entropy production principle from a dynamical fluctuation law
- Extracting chemical energy by growing disorder: Efficiency at maximum power
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