On Perfect Screening for Charged Systems,
PUERTO RICO UNIV RIO PIEDRAS DEPT OF PHYSICS
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We prove that when correlations in an equilibrium classical system in v-dimensions, v greater than or equal, containing charges decay faster than distance-lv then the charge cloud surrounding particles has no multipole moments of order k less than or equal. This yields l1 sum rules with 1 equal infinity when the decay is exponential. This extends previous results for 1 less than or equal 2 sum rules and also generalizes them to systems containing fixed dipoles or higher multipoles. Some consequences are described.
- Plasma Physics and Magnetohydrodynamics