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Nonextensive statistical mechanics approach to electron trapping in degenerate plasmas

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  • Mebrouk, Khireddine
  • Gougam, Leila Ait
  • Tribeche, Mouloud

Abstract

The electron trapping in a weakly nondegenerate plasma is reformulated and re-examined by incorporating the nonextensive entropy prescription. Using the q-deformed Fermi–Dirac distribution function including the quantum as well as the nonextensive statistical effects, we derive a new generalized electron density with a new contribution proportional to the electron temperature T, which may dominate the usual thermal correction (∼T2) at very low temperatures. To make the physics behind the effect of this new contribution more transparent, we analyze the modifications arising in the propagation of ion-acoustic solitary waves. Interestingly, we find that due to the nonextensive correction, our plasma model allows the possibility of existence of quantum ion-acoustic solitons with velocity higher than the Fermi ion-sound velocity. Moreover, as the nonextensive parameter q increases, the critical temperature Tc beyond which coexistence of compressive and rarefactive solitons sets in, is shifted towards higher values.

Suggested Citation

  • Mebrouk, Khireddine & Gougam, Leila Ait & Tribeche, Mouloud, 2016. "Nonextensive statistical mechanics approach to electron trapping in degenerate plasmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 525-532.
    • Handle: RePEc:eee:phsmap:v:451:y:2016:i:c:p:525-532
    DOI: 10.1016/j.physa.2016.02.003
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    Cited by:

    1. Bafghi, Seyed Mohammad Amin Tabatabaei & Kamalvand, Mohammad & Morsali, Ali & Bozorgmehr, Mohammad Reza, 2018. "Radial distribution function within the framework of the Tsallis statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 857-867.

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