Debye screening

Debye screening
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DOI:
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发表时间:
1980
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影响因子:
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通讯作者:
P. Federbush
P. Federbush
中科院分区:
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文献类型:
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作者:
D. Brydges;P. Federbush

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利用构造性量子场论、sine gordon变换和平均场理论的Glimm,Jaffe,Spencer展开等方法,证明了经典库仑系统在低密度或高温下关联函数的存在性和指数聚集性.这证明了物理学家长期以来的一个信念,即德拜屏蔽。也就是说,由于库仑势的特殊性质,重要概率的组态是那些r −1的长程部分大部分被抵消的组态,留下一个有效的指数衰减的电势作用在电荷云之间。本文推广了作者之一的前一篇文章,其中这些结果是针对一个特殊的格系统得到的。本治疗涵盖了连续力学的情况下,基本上任意的短程力和电荷物种。不假设电荷对称。
The existence and exponential clustering of correlation functions for a classical coulomb system at low density or high temperature are proven using methods from constructive quantum field theory, the sine gordon transformation and the Glimm, Jaffe, Spencer expansion about mean field theory. This is a vindication of a belief of long standing among physicists, known as Debye screening. That is, because of special properties of the coulomb potential, the configurations of significant probability are those in which the long range parts ofr−1 are mostly cancelled, leaving an effective exponentially decaying potential acting between charge clouds. This paper generalizes a previous paper of one of the authors in which these results were obtained for a special lattice system. The present treatment covers the continuous mechanics situation, with essentially arbitrary short range forces and charge species. Charge symmetry is not assumed.