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Geometry, dynamics and thermodynamics

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UNSPECIFIED (2000) Geometry, dynamics and thermodynamics. In: Conference on Dynamical Systems: From Crystal to Chaos, JUL 06-10, 1998, LUMINY MARSEILLE, FRANCE.

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Abstract

We consider the micro-canonical ensemble of classical Hamiltonian mechanics from a geometric and dynamical point of view. We show how various thermodynamic quantities may be calculated within the micro-canonical ensemble itself, without making explicit, reference to the canonical ensemble. We rederive formulas by Lebowitz et al (5) and Pearson et al (6), relating e.g. specific heat to fluctuations in the kinetic energy.

Item Type: Conference Item (UNSPECIFIED)
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Journal or Publication Title: DYNAMICAL SYSTEMS: FROM CRYSTAL TO CHAOS
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
ISBN: 981-02-4217-4
Editor: Gambaudo, JM and Hubert, P and Tisseur, P and Vaienti, S
Date: 2000
Number of Pages: 7
Page Range: pp. 98-104
Publication Status: Published
Title of Event: Conference on Dynamical Systems: From Crystal to Chaos
Location of Event: LUMINY MARSEILLE, FRANCE
Date(s) of Event: JUL 06-10, 1998
URI: http://wrap.warwick.ac.uk/id/eprint/12697

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