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- W2903839219 abstract "A recent proposal for a quantum entropy SunivQ for a pure state of a system-environment “universe” is developed to encompass a much more realistic temperature bath. Microcanonical entropy is formulated in the context of the idea of a quantum microcanonical shell. The fundamental relation that holds for the classical microcanonical ensemble −TΔSuniv = ΔFsys is tested for the quantum entropy ΔSunivQ in numerical simulations. It is found that there is “excess entropy production” ΔSx due to quantum time-energy uncertainty and spreading of states in the zero-order basis. The excess entropy production is found numerically to become small as the magnitude of the system-environment coupling nears zero, as one would hope for in the limit of the classical microcanonical ensemble. The quantum microcanonical ensemble and the new “universe entropy” thereby appear as well-founded concepts poised to serve as a point of departure for time-dependent processes in which excess entropy production is physically significant." @default.
- W2903839219 created "2018-12-22" @default.
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- W2903839219 date "2018-12-14" @default.
- W2903839219 modified "2023-10-17" @default.
- W2903839219 title "Quantum Microcanonical Entropy, Boltzmann’s Equation, and the Second Law" @default.
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- W2903839219 doi "https://doi.org/10.1021/acs.jpca.8b10666" @default.
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