Implication of Quantum Effects on Non-Linear Propagation of Electron Plasma Solitons

Journal of Optoelectronical Nanostructures

مقاله 4، دوره 5، شماره 3 - شماره پیاپی 19، آبان 2020، صفحه 59-70   

نوع مقاله: Articles

نویسندگان

Delaram Karimi Moghadam^{* 1}؛ Ghahraman Solookinejad²

¹Department of physics, Malayer Branch, Islamic Azad University, Malayer, Iran

²Marvdasht Branch Islamic Azad University, Marvdasht, Iran

تاریخ دریافت: 19 فروردین 1399،  تاریخ بازنگری: 07 تیر 1399،  تاریخ پذیرش: 25 مرداد 1399 

چکیده

We have studied the electron exchange-correlation effect on the
characteristics of the two-component unmagnetized dense quantum plasma with
streaming motion. For this purpose, we have used the quantum hydrodynamic model
(including the effects of a quantum statistical Fermi electron temperature) for studying
the propagation of an electrostatic electron plasma waves in such that plasma consisting
of quantum electrons and immobile ions. It is found that by regarding the latter effect, it
possible the excitation of two distinct modes. Some different cases such as:
unmagnetized, collisionless, classical cases and some formulas presented and discussed.
By using the reduced quantum hydrodynamic (QHD) model, the Korteweg de Vries
(KdV) equation incorporating the electron exchange-correlation effect is derived. It was
shown that the electron exchange-correlation phenomenon on the main quantities for both
rarefactive and compressive types of solitary-wave propagation can be important. In
particular, the arbitrary amplitude of electron solitary-wave experiences a spreading as
the effect of exchange-correlation becomes effective. Variations of the width of the
electron solitary wave for different plasma values were depicted. It was shown that by
increasing the exchange values, the width of soliton decrease.

کلیدواژه‌ها

Electron exchange-correlation؛ Quantum plasma؛ Electron plasma waves؛ Quantum hydrodynamic model؛ Korteweg de Vries equation

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