Entropy production for complex Langevin equations
Statistical Mechanics
2017-08-02 v2
Abstract
We study irreversible processes for nonlinear oscillators networks described by complex-valued Langevin equations that account for coupling to different thermo-chemical baths. Dissipation is introduced via non-Hermitian terms in the Hamiltonian of the model. We apply the stochastic thermodynamics formalism to compute explicit expressions for the entropy production rates. We discuss in particular the non-equilibrium steady states of the network characterised by a constant production rate of entropy and flows of energy and particle currents. For two specific examples, a one-dimensional chain and a dimer, numerical calculations are presented. The role of asymmetric coupling among the oscillators on the entropy production is illustrated.
Cite
@article{arxiv.1704.01566,
title = {Entropy production for complex Langevin equations},
author = {Simone Borlenghi and Stefano Iubini and Stefano Lepri and Jonas Fransson},
journal= {arXiv preprint arXiv:1704.01566},
year = {2017}
}