Abstract

The isothermal compressibility plays a central role in determining the characteristics of the static response in plasma systems. In a charged particle bilayer this role is assumed by L ij , the matrix of inverse compressibilities. For weak coupling, the inverse compressibilities of a bilayer of charged particles can be calculated analytically in the Debye limit from the equation of state through the chemical potential. There are two different charging procedures to obtain the latter. We present the results of a rather lengthy analytical calculation, exploring both approaches. The limits of the validity of the Debye description are discussed, and we compare the weak coupling results with L ij values inferred from S(k→0) through the compressibility sum rule, where the structure function S(k) is generated for strong coupling both through molecular dynamics simulations and by HNC calculations.

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