A new proof of the constructability of local equilibrium ensembles

O. Seeberg

Physica A: Statistical Mechanics and its Applications, 1978, vol. 94, issue 3, 605-614

Abstract: The variational problem δ(Tr(W log W)) = 0 under the constraints Tr(WAi) = αi, Tr W = 1 is investigated. The problem is uniquely solvable, iff there is a strictly positive W which fulfills the constraints. The solution takes the form of a local equilibrium ensemble. The set of the corresponding intensive parameters λi is uniquely determined iff no constant operator is a linear combination of the Ai. The proof uses arguments from the quantum-theoretical theory of measurement.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:94:y:1978:i:3:p:605-614

DOI: 10.1016/0378-4371(78)90090-0

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