2012/09/27 by Hiroshi Matsuoka, Matsuoka, Hiroshi
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Thermoelastic and Magnetoelastic Phenomena
paper · pdf · doi:10.48550/arxiv.1209.6346
openalex publication_date 2012/09/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
This paper has been withdrawn by the author. For the reason, see the bottom paragraph of this abstract. By generalizing Tasaki's work on the second law of thermodynamics for an adiabatic process between two equilibrium states of a macroscopic quantum compound system, we obtain 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. This paper has been withdrawn by the author because the generalized entropy presented in this article violates the second law when the system in a steady heat conduction state is detached from the two reservoirs and then attached to a reservoir at the temperature Tbar defined in Sec.1.2 so that it will reach an equilibrium state at Tbar. In this irreversible process, the total entropy for the system and the reservoir remains constant and thus violates the second law.