 0012 D. Ruelle
 Natural nonequilibrium states in quantum statistical mechanics.
(45K, Plain tex with one ps figure)
Jan 11, 00

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. A quantum spin system is discussed, where a heat flow between infinite
reservoirs takes place in a finite region. A time dependent force may
also be acting. Our analysis is based on a simple technical assumption
concerning the time evolution of infinite quantum spin systems. This
assumption, physically natural but currently proved for few specific
systems only, says that quantum information diffuses in spacetime in
such a way that the time integral of the commutator of local
observables converges: $\int dt\,[B,\alpha^tA]<\infty$. In this
setup one can define a natural nonequilibrium state. In the time
independent case, this nonequilibrium state retains some of the
analyticity which characterizes KMS equilibrium states. A linear
response formula is also obtained which remains true far from
equilibrium. The formalism presented here does not cover situations
where (for time independent forces) the time translation invariance
and uniqueness of the natural nonequilibrium state are broken.
 Files:
0012.src(
0012.comments ,
0012.keywords ,
coqnesm.tex ,
qnesmfig.ps )