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arXiv 1709.02196physics.plasm-phcond-mat.mes-hall
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等离子体量子流体力学的理论基础

Theoretical foundations of quantum hydrodynamics for plasmas

Zh. A. Moldabekov, M. Bonitz, T. S. Ramazanov

摘要:

从半经典哈密顿量出发,在局域密度近似下,采用一阶密度梯度修正,导出了有限温度下量子流体力学应用中的费米压和玻姆势.以前已知的结果进行了修订和改进,明确描述了潜在的近似。给出了一个完全非定域的量子力学模型的玻姆势,它超越了以往的结果,并与无规相位近似下的电子极化函数相联系。在局域场修正的框架下引入了动态QHD交换关联势,并考虑了弛豫时间近似的情况。最后讨论了QHD的适用范围。

英文摘要:

Beginning from the semiclassical Hamiltonian, the Fermi pressure and Bohm potential for the quantum hydrodynamics application (QHD) at finite temperature are consistently derived in the framework of the local density approximation with the first order density gradient correction. Previously known results are revised and improved with a clear description of the underlying approximations. A fully non-local Bohm potential, which goes beyond of all previous results and is linked to the electron polarization function in the random phase approximation, for the QHD model is presented. The dynamic QHD exchange correlation potential is introduced in the framework of local field corrections, and considered for the case of the relaxation time approximation. Finally, the range of applicability of the QHD is discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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