1. What have the authors contributed in "On entropy production in quantum statistical mechanics" ?
The authors propose a definition of entropy production in the framework of algebraic quantum statistical mechanics.. The authors also prove that entropy production is non-negative in natural nonequilibrium steady states.
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2. What is the simplest way to describe a system?
Let be a -dynamical system, where is a -algebra with identity and a strongly continuous group of automorphisms of (strong continuity means that the map is continuous in norm for each ).
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3. What is the entropy production of a system?
Letand be such thatÆ (1.1)Then, with the particular choice , Theorem 1.1 givesÆ(1.2)Since the relative entropy is non-positive, the authors immediately getTheorem 1.2 Assume that (A1) and (A2) hold.
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4. What is the meaning of the sentence?
(A1) and (A2) hold andIt follows that in a NESS , the energy fluxes satisfy5 Since , if , then and the heat flows from the hot to the cold reservoir.
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