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  • 1
    Electronic Resource
    Electronic Resource
    On the equation of state of classical one-component systems with long-range forces (1980)
    Springer
    Journal of statistical physics 23 (1980), S. 405-442 
    Details
    ISSN: 1572-9613
    Keywords: Long-range forces ; equilibrium states ; BBGKY equation ; equation of state ; one-component plasma ; shape dependence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Several definitions of the “pressure” are introduced for one-component systems and shown to be nonequivalent in the presence of a rigid neutralizing background. Relations between these pressures are derived for finite and infinite systems; these relations depend on the asymptotic behavior of the force at infinity, with the Coulomb force at the borderline between different properties. It is argued that only one of those definitions is physically acceptable and its properties are discussed in relation to the asymptotic behavior of the force. It is seen in particular that a knowledge of the state of the infinite system is not sufficient to determine its thermodynamic properties. The results are illustrated by some typical examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011574
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the dielectric susceptibility of classical Coulomb systems (1986)
    Springer
    Journal of statistical physics 43 (1986), S. 197-205 
    Details
    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
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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