Reference : Tightening the uncertainty principle for stochastic currents
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Physics and Materials Science
http://hdl.handle.net/10993/29146
Tightening the uncertainty principle for stochastic currents
English
Polettini, Matteo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
Lazarescu, Alexandre mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
Esposito, Massimiliano mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
2-Nov-2016
Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics
American Physical Society
94
052104
Yes (verified by ORBilu)
International
1539-3755
1550-2376
College Park
MD
[en] We connect two recent advances in the stochastic analysis of nonequilibrium systems: the (loose) uncertainty
principle for the currents, which states that statistical errors are bounded by thermodynamic dissipation, and the
analysis of thermodynamic consistency of the currents in the light of symmetries. Employing the large deviation
techniques presented by Gingrich et al. [Phys. Rev. Lett. 116, 120601 (2016)] and Pietzonka, Barato, and Seifert
[Phys. Rev. E 93, 052145 (2016)], we provide a short proof of the loose uncertainty principle, and prove a tighter
uncertainty relation for a class of thermodynamically consistent currents J . Our bound involves a measure of
partial entropy production, that we interpret as the least amount of entropy that a system sustaining current J can
possibly produce, at a given steady state. We provide a complete mathematical discussion of quadratic bounds
which allows one to determine which are optimal, and finally we argue that the relationship for the Fano factor
of the entropy production rate var σ/mean σ 2 is the most significant realization of the loose bound. We base
our analysis both on the formalism of diffusions, and of Markov jump processes in the light of Schnakenberg’s
cycle analysis.
http://hdl.handle.net/10993/29146
10.1103/PhysRevE.94.052104
FnR ; FNR1165601 > Massimiliano Esposito > NewThermo > A New Thermodynamic Theory for Small Fluctuating Systems: From Nanodevices to Cellular Biology > 01/01/2012 > 31/12/2016 > 2011

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