Thermodynamics of fluids for a relativistic gas as a consequence of distribution theory for Diophantine equations
type: Item
instance of: scholarly article
title: Thermodynamics of fluids for a relativistic gas as a consequence of distribution theory for Diophantine equations
zbMATH Open document ID: 1179.80007
DOI: 10.1134/S0001434609070335
author: V. P. Maslov
published in: Mathematical Notes
publication date: 2009-10-27T00:00:00Z
review text: The main part of the paper consists to describe some properties of a function \(H\) which plays the role of an Hamiltonian, assuming that it is smooth and that \(H(p)\) goes to 0 when \(p\) goes to 0 not faster than an arbitrarily large power of \(p\). This is applied to the study of the system \( \sum_{i=1}^{s}\varepsilon _{i}N_{i}\leq M\); \(\sum_{i=1}^{s}N_{i}=N\), where \(M \), \(\varepsilon _{i}\) and \(N\) are given numbers, \(N_{i}\) is a positive integer and \(N\) is an integer. This system is linked to thermodynamics. Taking an example of Hamiltonian \(H\), the author deduces some properties of the particles of a relativistic gas. Then the author moves to a two-phase state and the paper ends with the computation of the compressibility factor of an abstract ideal two-phase thermodynamics.
reviewed by: Alain Brillard
Mathematics Subject Classification ID: 80A05
Mathematics Subject Classification ID: 26A24
zbMATH DE Number: 5621828
zbMATH Keywords: relativistic gas
zbMATH Keywords: liquid
zbMATH Keywords: fluid
zbMATH Keywords: thermodynamics
zbMATH Keywords: distribution theory
MaRDI profile type: Publication
cites work: Thermodynamics of fluids as a consequence of distribution theory for Diophantine equations
cites work: Q3992476
cites work: The complex germ method for statistical mechanics of model systems
full work available at URL: s0001434609070335
OpenAlex ID: W2039932828
description: scientific article; zbMATH DE number 5621828