Lower bounds for thermodynamic quantities of d-dimensional classical one-component plasmas with d-dimensional Coulomb interactions (d = 1, 2, and 3)
Lower bounds for thermodynamic quantities of d-dimensional classical one-component plasmas with d-dimensional Coulomb interactions (d = 1, 2, and 3)
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具有 d 维库仑相互作用的 d 维经典单组分等离子体的热力学量下界（d = 1、2 和 3）
DOI：
10.1103/physreva.19.2433
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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
基于Mermin结构因子不等式和对关联函数的平凡不等式，将三维经典单组分等离子体（OCP）关联能的精确下界推广到d维OCP与d维库仑相互作用的情形，其中d = 1，2，3.对于d = 1和d = 3，该下限给出的值分别接近于已知的精确值和数值实验的结果。在d = 2的情况下，其中相互作用势是对数的，该下限改进了在域e/sup 2//T < 25.0中的已知下限，e和T是以能量单位表示的电荷和温度。
An exact lower bound for the correlation energy of a three-dimensional classical one-component plasma (OCP), based on Mermin's inequality for the structure factor and a trivial inequality for the pair correlation function, is generalized to the cases of d-dimensional OCP's with d-dimensional Coulomb interaction, where d = 1, 2, and 3. For d = 1 and d = 3, this lower bound gives values close to the known exact values and the results of numerical experiments, respectively. In the case of d = 2, where the interaction potential is logarithmic, this lower bound improves upon the known one in the domain e/sup 2//T < 25.0, e and T being the charge and the temperature in energy units.