1209.6346 (Hiroshi Matsuoka)

Generalized entropy and extensions of the second law of thermodynamics
and the Clausius relation for quantum systems in steady heat conduction
states    [PDF]

Hiroshi Matsuoka

By generalizing Tasaki's derivation of the second law of thermodynamics for an adiabatic process between two equilibrium states of a macroscopic quantum compound system, we derive an extension of the second law to a transient adiabatic process that takes a macroscopic quantum compound system consisting of a system of interest and two heat reservoirs from an initial equilibrium state to a final non-equilibrium state, where the system of interest is in a steady heat conduction state. For the system of interest, we define its generalized entropy so that it becomes an experimentally measurable quantity and exactly satisfies an extension of the Clausius relation.

View original: http://arxiv.org/abs/1209.6346