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Density matrix for a consistent non-extensive thermodynamics

Author

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  • Ubriaco, Marcelo R.

Abstract

Starting with the average particle distribution function for bosons and fermions for non-extensive thermodynamics , as proposed in Conroy et al. (2010), we obtain the corresponding density matrix operators and hamiltonians. In particular, for the bosonic case the corresponding operators satisfy a deformed bosonic algebra and the hamiltonian involves interacting terms in powers of aj†aj standard creation and annihilation operators. For the unnormalized density matrix we obtain a nonlinear equation that leads to a two-parameter solution relevant to anomalous diffusion phenomena.

Suggested Citation

  • Ubriaco, Marcelo R., 2018. "Density matrix for a consistent non-extensive thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 1212-1217.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:1212-1217
    DOI: 10.1016/j.physa.2018.08.145
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