Abstract
It is proven that when correlations in an equilibrium classical system in dimensions, >~2, containing charges decay faster than (distance)-(l+) then the charge cloud surrounding particles has no multipole moments of order k<~l. This yields l+1 sum rules with l= when the decay is exponential. This extends previous results for l<~2 sum rules and also generalizes them to systems containing fixed dipoles (or higher multipoles). Some consequences are described.
Original language | English (US) |
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Pages (from-to) | 1769-1772 |
Number of pages | 4 |
Journal | Physical review letters |
Volume | 48 |
Issue number | 26 |
DOIs | |
State | Published - 1982 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy