Steady-State Thermodynamics of Langevin Systems

2000/10/26 by Takahiro Hatano, Shin‐ichi Sasa, Shin-ichi Sasa · 89 citations
Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Neural dynamics and brain function #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.86.3463

published as Phys. Rev. Lett. vol. 86, 3463-3466 (2001). · 4 pages

arxiv created 2000/10/26 · openalex publication_date 2001/04/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

We study Langevin dynamics describing nonequilibirum steady states. Employing the phenomenological framework of steady-state thermodynamics constructed by Oono and Paniconi [Prog. Theor. Phys. Suppl. 130, 29 (1998)], we find that the extended form of the second law which they proposed holds for transitions between steady states and that the Shannon entropy difference is related to the excess heat produced in an infinitely slow operation. A generalized version of the Jarzynski work relation plays an important role in our theory.

Citations

• Jarzynski equality for the transitions between nonequilibrium steady states

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Related

• Nonequilibrium Thermodynamics of Time-dependent Langevin Systems: Energy Balance Relation and the Extended Form of the Second Law
• Thermodynamic Langevin Equations
• The thermodynamics of systems in a steady statea)
• The Second Law For the Transitions Between the Non-equilibrium Steady States
• Non-equilibrium steady states