General properties of response functions of nonequilibrium steady states

Abstract

We derive general properties, which hold for both quantum and classical systems, of response functions of nonequilibrium steady states. We clarify differences from those of equilibrium states. In particular, sum rules and asymptotic behaviors are derived, and their implications are discussed. Since almost no assumptions are made, our results are applicable to diverse physical systems. We also demonstrate our results by a molecular dynamics simulation of a many-body interacting system.

After publication of this paper, several typos were found, which have been fixed in the erratum (J. Phys. Soc. Jpn., 80 (2011) 128001). All the corrections have been made in this updated arXive version. 13 pages with 3 figures

References in corpus (2)

• Fluctuations and response of nonequilibrium states
• Long-Time Behavior of Velocity Autocorrelation Function for Interacting Particles in a Two-Dimensional Disordered System

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