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  Fluctuating currents in stochastic thermodynamics. I. Gauge invariance of asymptotic statistics

Wachtel, A., Vollmer, J., & Altaner, B. (2015). Fluctuating currents in stochastic thermodynamics. I. Gauge invariance of asymptotic statistics. Physical Review E, 92(4): 042132. doi:10.1103/PhysRevE.92.042132.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-2AD3-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-D233-B
Genre: Journal Article

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 Creators:
Wachtel, Artur1, Author              
Vollmer, Jürgen1, Author              
Altaner, Bernhard1, Author              
Affiliations:
1Group Principles of Self Organisation, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063312              

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 Abstract: Stochastic thermodynamics uses Markovian jump processes to model random transitions between observable mesoscopic states. Physical currents are obtained from antisymmetric jump observables defined on the edges of the graph representing the network of states. The asymptotic statistics of such currents are characterized by scaled cumulants. In the present work, we use the algebraic and topological structure of Markovian models to prove a gauge invariance of the scaled cumulant-generating function. Exploiting this invariance yields an efficient algorithm for practical calculations of asymptotic averages and correlation integrals. We discuss how our approach generalizes the Schnakenberg decomposition of the average entropy-production rate, and how it unifies previous work. The application of our results to concrete models is presented in an accompanying publication.

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Language(s): eng - English
 Dates: 2015-10-142015
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevE.92.042132
BibTex Citekey: wachtel-pre-2015
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Title: Physical Review E
Source Genre: Journal
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Pages: 11 Volume / Issue: 92 (4) Sequence Number: 042132 Start / End Page: - Identifier: ISSN: 1539-3755