Article (Scientific journals)
Fluctuating currents in stochastic thermodynamics. I. Gauge invariance of asymptotic statistics
Wachtel, Artur; Vollmer, Jürgen; Altaner, Bernhard
2015In Physical Review. E., 92 (4), p. 042132
Peer reviewed
 

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Abstract :
[en] 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.
Disciplines :
Physics
Author, co-author :
Wachtel, Artur ;  Georg-August-Universität Göttingen > Faculty of Physics ; Max Planck Institute for Dynamics and Self-Organization > Dynamics of Complex Fluids
Vollmer, Jürgen;  Georg-August-Universität Göttingen > Faculty of Physics ; Max Planck Institute for Dynamics and Self-Organization > Dynamics of Complex Fluids
Altaner, Bernhard;  Georg-August-Universität Göttingen > Faculty of Physics ; Max Planck Institute for Dynamics and Self-Organization > Dynamics of Complex Fluids
External co-authors :
no
Title :
Fluctuating currents in stochastic thermodynamics. I. Gauge invariance of asymptotic statistics
Publication date :
2015
Journal title :
Physical Review. E.
ISSN :
2470-0045
Publisher :
Amer Physical Soc, College Pk, Unknown/unspecified
Volume :
92
Issue :
4
Pages :
042132
Peer reviewed :
Peer reviewed
Funders :
"Center for Earth System Research and Sustainability (CliSAP)" at the KlimaCampus Hamburg
Ludwig Prandtl internship - FOKOS e. V., Gottingen
Commentary :
The authors thank M. Polettini, F. Telschow, and H. Touchette for insightful discussions. F. Angeletti provided useful comments on the manuscript. A.W. is grateful for support from a Ludwig Prandtl internship awarded by FOKOS e. V., Gottingen, and to M. Esposito for his support. J.V. acknowledges support from a research grant from the "Center for Earth System Research and Sustainability (CliSAP)" at the KlimaCampus Hamburg, while the final version of this manuscript was drafted.
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