Microreversibility, nonequilibrium current fluctuations, and response theory

M Barbier, P Gaspard

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12 Citations (Scopus)

Abstract

Microreversibility rules the fluctuations of the currents flowing across open systems in nonequilibrium (or equilibrium) steady states. As a consequence, the statistical cumulants of the currents and their response coefficients at arbitrary orders in the deviations from equilibrium obey time-reversal symmetry relations, as established in quantum statistical mechanics. It is shown that some of these relations satisfy recurrences that can be simplified by means of the coefficients of Euler polynomials. This result allows us to systematically reduce the amount of independent quantities that need to be measured experimentally or computed theoretically in order to fully characterize the linear and nonlinear transport properties of general open systems. This reduction is shown to approach one half for quantities of arbitrarily high orders.
Original languageEnglish
Article number355001
Number of pages30
JournalJournal of Physics A: Mathematical and Theoretical
Volume51
DOIs
Publication statusPublished - 20 Jul 2018
Externally publishedYes

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