Non-extensive thermostatistics approach to metal melting entropy

TL;DR

This paper introduces a non-extensive thermodynamics framework to better model metal melting entropy, accounting for particle correlations, and distinguishes between normal and anomalous metals with potential applications in planetary science.

Contribution

It derives a generalized Mott relation using non-extensive quantum entropy and determines the entropic parameter for 18 elements to improve agreement with experimental data.

Findings

Better match with experimental melting entropy data

Identification of entropic parameter differences between metal classes

Potential applications in planetary seismology

Abstract

A generalized Mott relation of metal melting entropy is derived by means of non-extensive solid and liquid quantum entropy that we calculate from grand partition functions of localized ordered quantum solid and of disordered quantum Boltzmann liquid. For each of the 18 elements considered the entropic parameter $q_m$, depending on particle correlations, is deduced such that a better agreement is obtained between calculated non-extensive metal melting entropy and available experimental data. The non-extensive entropic parameter makes the difference between normal and anomalous metals. Therefore, also those not reported here should belong to one of the two classes. Possible applications to condensed matter, Earth and other solar planets seismology are mentioned.