Geometry of thermodynamic states

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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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.

Item Type:

Article

Identification Number (DOI):

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

Departments, Centres and Research Units:

Computing

Dates:

DateEvent
11 May 1998Accepted
21 October 1998Published

Item ID:

31589

Date Deposited:

14 Mar 2022 09:49

Last Modified:

14 Mar 2022 09:49

Peer Reviewed:

Yes, this version has been peer-reviewed.

URI:

https://research.gold.ac.uk/id/eprint/31589

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