Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Quantum Purity as an Information Measure and Nernst law

Version 1 : Received: 6 July 2023 / Approved: 7 July 2023 / Online: 7 July 2023 (18:58:07 CEST)

A peer-reviewed article of this Preprint also exists.

Pennini, F.; Plastino, A. Quantum Purity as an Information Measure and Nernst Law. Entropy 2023, 25, 1113. Pennini, F.; Plastino, A. Quantum Purity as an Information Measure and Nernst Law. Entropy 2023, 25, 1113.

Abstract

We attempt to re-express Nernst law in terms of a suitable information measure (IM). This is done on the basis of adapting the idea of purity to a thermal Gibbs environment, which yields what we might call a ``purity'' (and symbolize it by the symbol $D$). We further apply the properly generalization of this $D$-IM to a classical scenario. This generalization turns our to have interesting consequences, when used in conjunction with the classical Shannon entropy $S$. These consequences are related to Nernst law.

Keywords

Nernst law, statistical mechanics, purity

Subject

Physical Sciences, Mathematical Physics

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