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Does Von Neumann's Entropy Correspond to Thermodynamic Entropy?

Chua, Eugene Y. S. (2019) Does Von Neumann's Entropy Correspond to Thermodynamic Entropy? [Preprint]

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Abstract

Conventional wisdom holds that the von Neumann entropy corresponds to thermodynamic entropy, but Hemmo and Shenker (2006) have recently argued against this view by attacking von Neumann's (1955) argument. I argue that Hemmo and Shenker's arguments fail due to several misunderstandings: about statistical mechanical and thermodynamic domains of applicability, about the nature of mixed states, and about the role of approximations in physics. As a result, their arguments fail in all cases: in the single-particle case, the finite particles case, and the infinite particles case.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Chua, Eugene Y. S.eychua@ucsd.edu0000-0002-3169-7563
Additional Information: Forthcoming at Philosophy of Science. Copyright The Philosophy of Science Association 2020. Preprint (not copyedited or formatted). Please use DOI when citing or quoting. DOI: https://doi.org/10.1086/710072.
Keywords: philosophy of physics, thermodynamics, statistical mechanics, quantum thermodynamics, entropy, von Neumann entropy, thermodynamic entropy, mixed state, correspondence
Subjects: General Issues > Models and Idealization
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Mr. Eugene Chua
Date Deposited: 30 Jan 2020 00:14
Last Modified: 13 Jun 2020 03:11
Item ID: 16715
DOI or Unique Handle: https://doi.org/10.1086/710072.
Subjects: General Issues > Models and Idealization
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 5 December 2019
URI: http://philsci-archive.pitt.edu/id/eprint/16715

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