DECAY OF CORRELATIONS AND RELATED SUM-RULES IN A LAYERED CLASSICAL PLASMA

The asymptotic behaviours of particle correlation functions and the re lated sum rules are discussed for a layered classical plasma with e(2) /r interactions in the fluid state, in dependence on the number of lay ers. These properties derive from consistency conditions imposed by sc reening on the hierarchical equations, as already treated by A. Alastn ey and P. A. Martin (J. Stat. Phys., 39, 405 (1985)) for various Coulo mb fluids. The main results concern i) the type of clustering of corre lations needed for the validity of multipolar sum rules at various ord ers, ii) the proof that the pair correlation function in a finite mult ilayer may carry an electric dipole moment and the calculation of its partioning among the layers, and iii) the dimensionality crossover in an infinitely extended or periodically repeated multilayer with varyin g interlayer spacing and wave vector.