Debye screening for two-dimensional Coulomb systems at high temperatures |
| |
Authors: | Wei-Shih Yang |
| |
Institution: | (1) Department of Mathematics, University of California, 90024 Los Angeles, California |
| |
Abstract: | The grand canonical ensemble of a two-dimensional Coulomb system with±1 charges is proved to have screening phenomena in its high-temperature region. The Coulomb potential in a finite region is assumed to be (–![Delta](/content/g013957500422182/xxlarge916.gif) )–1, where
is the Laplacian with zero boundary conditions on . The hard-core condition is not assumed. The model is set up by separating (–![Delta](/content/g013957500422182/xxlarge916.gif) )–1 into a shortrange part and a long-range part depending on a parameter . The self-energies are subtracted only for the short-range part and therefore a choice of is a choice of subtraction of self-energies. The method of proof is in general the same as that of Brydges-Federbush Debye screening, except that here a modification for the short-range part of the potentials is needed. |
| |
Keywords: | Sine-Gordon field Coulomb systems Debye screening cluster expansion Mayer's expansion decay of correlation functions |
本文献已被 SpringerLink 等数据库收录! |