Detailed Fluctuation Theorems: A Unifying Perspective

2018/07/31 by Riccardo Rao, Massimiliano Esposito
Business, Management and Accounting · Mathematics · Physics and Astronomy · #Advanced Queuing Theory Analysis #Advanced Thermodynamics and Statistical Mechanics #Dynamics (music) #Jump #Markov chain #Markov process #Perspective (graphical) #Physical system #Stochastic process #cond-mat.stat-mech #math-ph #math.MP #stochastic dynamics and bifurcation

paper · pdf · doi:10.3390/e20090635

published as Entropy 2018, 20(9), 635 · revtex format: 17 pages (12 + 5 for appendices), 7 figures, 3 tables. v2: published version, added an example

openalex created_date 2018/08/03 · openalex publication_date 2018/08/24 · arxiv created 2018/10/10 · arxiv updated 2018/10/11 · openalex updated_date 2026/08/06

Abstract

We present a general method to identify an arbitrary number of fluctuating quantities which satisfy a detailed fluctuation theorem for all times within the framework of time-inhomogeneous Markovian jump processes. In doing so, we provide a unified perspective on many fluctuation theorems derived in the literature. By complementing the stochastic dynamics with a thermodynamic structure (i.e., using stochastic thermodynamics), we also express these fluctuating quantities in terms of physical observables.

Citations

• Joint probability distributions and fluctuation theorems
• Integral fluctuation theorem for the housekeeping heat
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