Weighted Detailed Balance and Local KMS Condition for Non-Equilibrium Stationary States : Dedicated to the memory of Shuichi Tasaki(Perspectives of Nonequilibrium Statistical Physics-The Memory of Professor Shuichi Tasaki-)

NDL Digital Collections HANDLE Web Site Open Access

Bibliographic Information

Other Title
  • Weighted Detailed Balance and Local KMS Condition for Non-Equilibrium Stationary States

Search this article

Abstract

We give a general definition of the local KMS condition and we prove its equivalence with a nonlinear Gibbs prescription. We discuss the irreversible (H, β)-KMS condition, its connections with the local KMS condition and we study the irreversible (H, β)-KMS condition for Markov generators of stochastic limit type. We introduce a definition of weighted detailed balance based on the notion of current decomposition and discuss invariant states with constant micro-currents. As an example, we construct a non-equilibrium steady state for a quantum spin chain coupled to two reservoirs at different temperatures and study its cycle dynamics and entropy production.

Journal

  • 物性研究

    物性研究 97 (3), 318-356, 2011-12-05

    物性研究刊行会

Details 詳細情報について

Report a problem

Back to top