A geometrical measure for entropy changes

Tova Feldmann; R. D. Levine; Peter Salamon

doi:10.1007/BF01010466

A geometrical measure for entropy changes

Tova Feldmann^*, R. D. Levine, Peter Salamon

^*Corresponding author for this work

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The geometrical approach to statistical mechanics is used to discuss changes in entropy upon sequential displacements of the state of the system. An interpretation of the angle between two states in terms of entropy differences is thereby provided. A particular result of note is that any state can be resolved into a state of maximal entropy (both states having the same expectation values for the constraints) and an orthogonal component. A cosine law for the general case is also derived.

Original language	English
Pages (from-to)	1127-1134
Number of pages	8
Journal	Journal of Statistical Physics
Volume	42
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01010466
State	Published - Mar 1986

Keywords

Entropy changes
statistical mechanics

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10.1007/BF01010466

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title = "A geometrical measure for entropy changes",

abstract = "The geometrical approach to statistical mechanics is used to discuss changes in entropy upon sequential displacements of the state of the system. An interpretation of the angle between two states in terms of entropy differences is thereby provided. A particular result of note is that any state can be resolved into a state of maximal entropy (both states having the same expectation values for the constraints) and an orthogonal component. A cosine law for the general case is also derived.",

keywords = "Entropy changes, statistical mechanics",

author = "Tova Feldmann and Levine, {R. D.} and Peter Salamon",

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T1 - A geometrical measure for entropy changes

AU - Feldmann, Tova

AU - Levine, R. D.

AU - Salamon, Peter

PY - 1986/3

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N2 - The geometrical approach to statistical mechanics is used to discuss changes in entropy upon sequential displacements of the state of the system. An interpretation of the angle between two states in terms of entropy differences is thereby provided. A particular result of note is that any state can be resolved into a state of maximal entropy (both states having the same expectation values for the constraints) and an orthogonal component. A cosine law for the general case is also derived.

AB - The geometrical approach to statistical mechanics is used to discuss changes in entropy upon sequential displacements of the state of the system. An interpretation of the angle between two states in terms of entropy differences is thereby provided. A particular result of note is that any state can be resolved into a state of maximal entropy (both states having the same expectation values for the constraints) and an orthogonal component. A cosine law for the general case is also derived.

KW - Entropy changes

KW - statistical mechanics

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VL - 42

SP - 1127

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

A geometrical measure for entropy changes

Abstract

Keywords

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