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Thermal Dissipation in Two Dimensional Relativistic Fermi Gases with a Relaxation Time Model

Abstract

The thermal transport properties of a two dimensional Fermi gas are explored, for the full range of temperatures and densities. The heat flux is established by solving the Uehling–Uhlenbeck equation using a relaxation approximation given by Marle’s collisional kernel and considering the temperature and chemical potential gradients as independent thermodynamic forces. It is shown that the corresponding transport coefficients are proportional to each other, which leads to the possibility of defining a generalized thermal force and a single transport coefficient. The behavior of such conductivity with the temperature and chemical potential is analyzed and a discussion on its dependence with the relaxation parameter is also included. The relevance and applications of the results are briefly discussed.

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Correspondence to A. R. Méndez.

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Communicated by Dr.Abhishek Dhar.

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Méndez, A.R., García-Perciante, A.L. & Chacón-Acosta, G. Thermal Dissipation in Two Dimensional Relativistic Fermi Gases with a Relaxation Time Model. J Stat Phys 178, 936–953 (2020). https://doi.org/10.1007/s10955-019-02473-3

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Keywords

  • Bidimensional systems
  • Relativistic quantum gases
  • Kinetic theory
  • Transport phenomena