Geometry of thermodynamic states

Tools

Brody, D C and Hughston, L P. 1998. Geometry of thermodynamic states. Physics Letters A, 245(1-2), pp. 73-78. ISSN 03759601 [Article]

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Official URL: https://doi.org/10.1016/S0375-9601(98)00385-5

Abstract or Description

A geometric formalism for statistical estimation is applied here to the canonical distribution of classical statistical
mechanics. In this scheme thermodynamic states are characterised by a submanifold M of the unit sphere in a real Hilbert
space. The measurement of a thermodynamic variable corresponds to the reduction of a state vector, where the transition
probability is the Boltzmann weight. We derive a set of uncertainty relations for conjugate thermodynamic variables.

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Article

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https://doi.org/10.1016/S0375-9601(98)00385-5