Stochastic Thermodynamics, Reversible Dynamical Systems and Information Theory

2012/10/18 by Bernhard Altaner, Altaner, Bernhard
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1210.5071

Keywords: Stochastic thermodynamics, entropy, information theory, reversible thermostats, entropy production

arxiv created 2012/10/18 · openalex publication_date 2012/10/18 · arxiv updated 2012/10/19 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28

Abstract

Stochastic Thermodynamics (ST) extends the notions of classical thermodynamics to trajectories taken from a nonequilibrium ensemble. This extension yields a simple approach to fluctuation relations in small systems. Multiple time- and length scales play an important role for measurements but also for the foundations of nonequilibrium statistical mechanics. Here, under the assumptions of local equilibrium we derive the trajectory functionals of ST in the context of reversible deterministic thermostats. Further, the connection to previous work is made.

Citations

• Techniques and Applications of Path Integration
• Stochastic thermodynamics, fluctuation theorems and molecular machines

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