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Entropy 2013, 15(4), 1271-1288; doi:10.3390/e15041271

On a Self-Consistency Thermodynamical Criterion for Equations of the State of Gases in Relativistic Frames

1
Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, U.P. Adolfo López Mateos, Zacatenco, C. P. 07738, México D.F., Mexico
2
Departamento de Formación Básica, Escuela Superior de Cómputo, Instituto Politécnico Nacional, U.P. Adolfo López Mateos, Zacatenco, C. P. 07738, México D.F., Mexico
*
Author to whom correspondence should be addressed.
Received: 9 March 2013 / Revised: 2 April 2013 / Accepted: 2 April 2013 / Published: 9 April 2013
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Abstract

More than three decades ago, Tykodi and Hummel proposed a procedure to investigate the self-consistency thermodynamical criterion for equations of the state of gases. The main criterion used by these authors consists of requiring that an equation of state must not be inconsistent with certain thermodynamical identities from the first and second laws of thermodynamics. This paper explores the possibility of another self-consistency method based on relativistic transformations of the thermodynamical variables. It is shown that the virial coefficients have to be corrected by a relativistic factor if the equation of state is considered in a moving relativistic reference frame. Some relativistic and non-relativistic equations of state are analyzed.
Keywords: equation of state; relativistic transformation of temperature; virial coefficients equation of state; relativistic transformation of temperature; virial coefficients
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

de Parga, G.A.; Vargas, A.Á.; López-Carrera, B. On a Self-Consistency Thermodynamical Criterion for Equations of the State of Gases in Relativistic Frames. Entropy 2013, 15, 1271-1288.

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