On potential and field fluctuations in classical charged systems
type: Item
instance of: scholarly article
title: On potential and field fluctuations in classical charged systems
zbMATH Open document ID: 0588.60099
DOI: 10.1007/BF01770360
published in: Journal of Statistical Physics
publication date: 1984-01-01T00:00:00Z
review text: Using electrostatic identities the exponential and microfield in a plasma, important for determining line shapes, are expressed as limits of local quantities. These are shown to be well defined for typical configurations of macroscopic, i.e. infinite systems (under some mild clustering assumptions). Their covariance contains a slowly decaying part \((| x|^{-1}\), for the potential) whose coefficient is universal whenever the Stillinger-Lovett second moment condition holds. We show further that the contributions from distant regions (which are equal to suitable averages over local regions) have a Gaussian distribution.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 3945025
zbMATH Keywords: Coulomb systems
zbMATH Keywords: potential fluctuations
zbMATH Keywords: microfield distribution
zbMATH Keywords: particle correlations
zbMATH Keywords: sum rules
zbMATH Keywords: clustering
author: Joel Lebowitz
author: Philippe A. Martin
MaRDI profile type: Publication
cites work: Pressure Shift and Broadening of Spectral Lines
cites work: Electric Field Distributions in an Ionized Gas
cites work: Q3709502
cites work: Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces. II. The Method of Functional Integration
description: scientific article; zbMATH DE number 3945025