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Quantum Approach to a Derivation of the Second Law of Thermodynamics | | Jochen Gemmer
; Alexander Otte
; Guenter Mahler
; | | Date: |
30 Dec 2000 | | Subject: | quant-ph | | Abstract: | We re-interprete the microcanonical conditions in the quantum domain as constraints for the interaction of the "gas-subsystem" under consideration and its environment ("container"). The time-average of a purity-measure is found to equal the average over the respective path in Hilbert-space. We then show that for typical (degenerate or non-degenerate) thermodynamical systems almost all states within the allowed region of Hilbert-space have a local von Neumann-entropy S close to the maximum and a purity P close to its minimum, respectively. Typically thermodynamical systems should therefore obey the second law. | | Source: | arXiv, quant-ph/0101140 | | Other source: | [GID 78095] pmid11289822 | | Services: | Forum | Review | PDF | Favorites | |
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