2018/05/24 by Maximilien Barbier, Pierre Gaspard · 18 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed matter physics #Cumulant #Current (fluid) #Euler's formula #Large deviations theory #Linear response theory #Mathematical analysis #Mathematics #Non-equilibrium thermodynamics #Nonlinear system #Order (exchange) #Physics #Quantum mechanics #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #Statistics #Symmetry (geometry) #Thermodynamics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1751-8121/aad025
published in Journal of Physics A Mathematical and Theoretical 51(35), 355001 (Institute of Physics) · 31 pages
arxiv created 2018/05/24 · openalex publication_date 2018/06/29 · arxiv updated 2018/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.