2012/04/30 by Hiroshi Matsuoka
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.1007/s10955-012-0556-0
published as Journal of Statistical Physics 148, 933 (2012) · 34 pages. Minor corrections and changes. An expanded version of Sec.XIV as well as Sec.IX through Sec.XII of arXiv:1104.5190
arxiv created 2012/05/05 · arxiv updated 2015/06/04
For a quantum system in a steady state with a constant current of heat or particles driven by a temperature or chemical potential difference between two reservoirs attached to the system, the fluctuation theorem for the current was previously shown to lead to the Green-Kubo formula for the linear response coefficient for the current expressed in terms of the symmetrized correlation function of the current density operator. In this article, we show that for a quantum system in a steady state with a constant rate of work done on the system, the fluctuation theorem for a quantity induced in the system also leads to the Green-Kubo formula expressed in terms of the symmetrized correlation function of the induced quantity. As an example, we consider a fluid in a steady shear flow driven by a constant velocity of a solid plate moving above the fluid.