Year: 2020
Type: article
Abstract: Microreversibility constrains the fluctuations of the nonequilibrium currents that cross an open system. This can be seen from the so-called fluctuation relations, which are a direct consequence of microreversibility. Indeed, the latter are known to impose time-reversal symmetry relations on the statistical cumulants of the currents and their responses at arbitrary orders in the deviations from equilibrium. Remarkably, such relations can be analyzed by means of Euler’s polynomials. Here we show that fluctuation relations can actually be explicitly written in terms of the constant terms of these particular polynomials. We hence demonstrate that Euler’s polynomials are indeed fundamentally rooted in fluctuation relations, both in the absence and the presence of an external magnetic field.
Authors: M Barbier, P Gaspard
Institution: Université Libre de Bruxelles
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Awards: G1754516711, G848400946
OpenAlex ID: W2976986069