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Fisher info and thermodynamics' first law

Abstract

We show, starting from first principles, that thermodynamics' first law can be microscopically obtained for Fisher's information measure without need of invoking the adiabatic theorem. Further, it is proved that enforcing the Fisher-first law requirements in a process in which the probability distribution is infinitesimally varied is equivalent to minimizing Fisher's information measure subject to appropriate constraints. (c) 2006 Elsevier B.V. All rights reserved.

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