Condensation and critical exponents of an ideal non-Abelian gas
Department of Physics, Isfahan University of Technology, 84156-83111, Isfahan, Iran
2 Department of Physics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran
* e-mail: firstname.lastname@example.org
Accepted: 25 September 2017
Published online: 8 November 2017
We investigate an ideal gas obeying non-Abelian statistics and derive the expressions for some thermodynamic quantities. It is found that thermodynamic quantities are finite at the condensation point where their derivatives diverge and, near this point, they behave as in which denotes the condensation temperature and is a critical exponent. The critical exponents related to the heat capacity and compressibility are obtained by fitting numerical results and others are obtained using the scaling law hypothesis for a three-dimensional non-Abelian ideal gas. This set of critical exponents introduces a new universality class.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017