压电半导体量子等离子体中的孤子及其传输可行性

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-05-20 DOI:10.1016/j.chaos.2025.116589

Abhishek Yadav, Punit Kumar

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引用次数: 0

摘要

本文研究了压电半导体量子等离子体中晶格离子振动与电子波的耦合。研究了非线性问题，并对孤子进行了分析。该理论是利用量子流体力学（QHD）模型建立的，结合了费米压力、量子玻姆和交换相关势的影响。建立了耦合的色散关系。利用双时间尺度理论建立了一组非线性演化方程，利用改进的量子Zakharov方程得到了耦合非线性演化方程的孤子解。孤子被发现有一个尖轮廓。在压电半导体量子等离子体中，孤子场振幅随粒子密度和耦合强度的增加而显著增大。

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Solitons and transmission feasibility in piezoelectric semiconductor quantum plasmas

A study of coupling of the lattice ion vibrations, with the electron waves in a piezoelectric semiconductor quantum plasma is presented. The nonlinearities have been studied and the solitons have been analyzed. The theory has been built using the quantum hydrodynamic (QHD) model, incorporating the effects of Fermi pressure, quantum Bohm and exchange correlation potentials. The dispersion relation for the coupling has been set up. A set of nonlinear evolution equations has been established using the two-time scale theory and soliton solution for coupled nonlinear evolution equations has been obtained using the modified quantum Zakharov equations. The solitons are found to have a cusp profile. It is also found that soliton's field amplitude increases significantly with particle density and coupling strength in piezoelectric semiconductor quantum plasma.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.