ISSN:
1572-9613
Keywords:
Dielectric susceptibility
;
Clausius-Mossotti relation
;
phenomenological electrostatics
;
Stillinger-Lovett sum rule
;
linear response theory
;
statistical mechanics
;
one-component plasma
;
disk and strip geometry
;
thermodynamic limit
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract This paper reports exact and numerical results on the shape dependence of the dielectric susceptibility of the one-component plasma (O.C.P.) in two dimensions. Some apparently conflicting predictions of phenomenological electrostatics and statistical mechanics are resolved. We prove indeed that, for a disk shaped two-dimensional one-component plasma at the particular temperatureT 0 =q 2 (2K B )−1, the Clausius-Mossotti relation is exactly fulfilled. It yields a value of the susceptibility which is twice that given by the second moment Stillinger-Lovett sum rule. Similar results are reported for the strip geometry. These discrepancies are explained in terms of shape dependent versus shape independent thermodynamic limits. We report also exact and numerical results on the size dependence of the dielectric susceptibility of the systems quoted above.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01010577
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