Lower bounds for thermodynamic quantities of two- and three-dimensional one-component plasmas
Lower bounds for thermodynamic quantities of two- and three-dimensional one-component plasmas
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二维和三维单组分等离子体热力学量的下界
DOI：
10.1103/physreva.19.1712
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发表时间：
1979
影响因子：
2.9
通讯作者：
H. Totsuji
中科院分区：
文献类型：
--
作者：
H. Totsuji
在d维1 < d <或= 3的情况下，给出了具有r/sup-1/势的单组分等离子体（OCP）的关联能的精确下界.对于d = 2和3的经典OCP，这个下界包含了高密度域中的大部分相关能，并且剩余由两个正定函数的积分给出，包括对相关函数和结构因子。对于d = 3的经典最优控制问题，给出了一个下界，它改进了Mermin和Lieb及Narnhofer在Gamma < 15.3区域内的已知下界.
Exact lower bounds for the correlation energy of the one-component plasmas (OCP) with the r/sup -1/ potential are given in d dimensions 1 < d < or = 3. For classical OCP's with d = 2 and 3, this lower bound contains most of the correlation energy in the high-density domain, and the residue is given by two integrals of positive-definite functions, including the pair correlation function and the structure factor. For the classical OCP with d = 3, a lower bound which improves upon known ones due to Mermin and to Lieb and Narnhofer in the domain GAMMA < 15.3 is given.