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)|
|Number of pages||4|
|Journal||Physical review letters|
|State||Published - 1982|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)