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arXiv · 1704.01566

Entropy production for complex Langevin equations

Simone Borlenghi·Stefano Iubini·Stefano Lepri·Jonas Fransson
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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.

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Simone Borlenghi, Stefano Iubini, Stefano Lepri, Jonas Fransson. 2017-06-30. Entropy production for complex Langevin equations. https://doi.org/10.1103/physreve.96.012150

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