Suprathermal corrections to Bohm–Gross dispersion

Author:

Silveira F. E. M.1ORCID,Benetti M. H.2ORCID,Caldas I. L.3ORCID

Affiliation:

1. Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Rua Santa Adélia, 166, Bairro Bangu, CEP 09210-170, Santo André, SP, Brazil

2. Instituto de Ciências Exatas, Universidade Federal Fluminense, Rua Desembargador Ellis Hermydio Figueira, 783, Aterrado, CEP 27213-145, Volta Redonda, RJ, Brazil

3. Instituto de Física, Universidade de São Paulo, Rua do Matão, 1371, Cidade Universitária, CEP 05508-090, São Paulo, SP, Brazil

Abstract

A detailed resource to data analysis shows that the widely known van Hoven and Derfler–Simonen laboratory results are far from reasonable agreement with the standard Bohm–Gross dispersion relation. We provide an extension of the usual notion of a polytropic index to non-Boltzmann–Gibbs statistics. Such an extension allows for the deduction of an equation of state of charged particles with the basis on the Kappa density distribution. That equation of state, in turn, enables suprathermal corrections to the standard dispersion relation. As a consequence, we prove that the employment of our suprathermal formula is in excellent agreement with the experimental data. Possible further applications of our theory are briefly addressed.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

AIP Publishing

Subject

Condensed Matter Physics

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