A geometrical measure for entropy changes

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 angel between two states in terms of entropy differences is thereby provided. A particular result of note is that any state can b...

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Veröffentlicht in:	J. Stat. Phys.; (United States) 1986-03, Vol.42 (5-6), p.1127-1134
Hauptverfasser:	FELDMANN, T, LEVINE, R. D, SALAMON, P
Format:	Artikel
Sprache:	eng
Schlagworte:	657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical ensemble theory Classical statistical mechanics ENTROPY EUCLIDEAN SPACE Exact sciences and technology GEODESICS MATHEMATICAL SPACE MECHANICS ORTHOGONAL TRANSFORMATIONS PHYSICAL PROPERTIES Physics RIEMANN SPACE SCALARS SPACE STATISTICAL MECHANICS Statistical physics, thermodynamics, and nonlinear dynamical systems TENSORS THERMODYNAMIC PROPERTIES THERMODYNAMICS TRANSFORMATIONS VECTORS
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Beschreibung
Zusammenfassung:	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 angel 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.
ISSN:	0022-4715 1572-9613
DOI:	10.1007/BF01010466