ENTROPY PRODUCTION AND NON-EQUILIBRIUM STEADY STATES

Zeyu Liu, Yun‐Jie Xia, Zhong‐Xiao Man

Bruno O. Goes

Seiji Miyashita

Taku Matsui, Yoshiko Ogata

We show that non-equilibrium steady states of the one-dimensional exactly-solved XX model can be characterized by the variational principle of free energy of a long range interaction and that they cannot be a KMS state for any C*-dynamical system of the UHF algebra.

Jorge R. Bolaños-Servín, Roberto B. Quezada

We propose a definition of cycle representation for Quantum Markov Semigroups (QMS) and of Quantum Entropy Production Rate (QEPR) in terms of the ρ-adjoint. We introduce the class of circulant QMS, which admit non-equilibrium steady states but exhibit symmetries that allow us to compute explicitly the QEPR, gain a deeper insight into the notion of cycle decomposition and prove that quantum detailed balance holds if and only if the QEPR equals zero.

S. V. Peletminsky, A.J. Sokolovsky