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Condensation and critical exponents of an ideal non-Abelian gas

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Abstract.

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 \( \vert T-T_{c}\vert^{-\rho}\) in which \( T_{c}\) denotes the condensation temperature and \( \rho\) 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.

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Authors and Affiliations

  1. Department of Physics, Isfahan University of Technology, 84156-83111, Isfahan, Iran

    Zahra Talaei & Behrouz Mirza

  2. Department of Physics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran

    Hosein Mohammadzadeh

Authors
  1. Zahra Talaei
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  2. Behrouz Mirza
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  3. Hosein Mohammadzadeh
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Correspondence to Hosein Mohammadzadeh.

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Talaei, Z., Mirza, B. & Mohammadzadeh, H. Condensation and critical exponents of an ideal non-Abelian gas. Eur. Phys. J. Plus 132, 463 (2017). https://doi.org/10.1140/epjp/i2017-11726-y

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