Nonextensive statistical mechanics approach to electron trapping in degenerate plasmas

Khireddine Mebrouk, Leila Ait Gougam and Mouloud Tribeche

Physica A: Statistical Mechanics and its Applications, 2016, vol. 451, issue C, 525-532

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.

Keywords: Electron trapping; Degenerate plasma; Nonextensive entropy; q-deformed Fermi–Dirac distribution; Ion-acoustic solitary waves (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:451:y:2016:i:c:p:525-532

DOI: 10.1016/j.physa.2016.02.003

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