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Computer Simulation of Collective Modes and Transport Coefficients of Strongly Coupled Plasmas

  • Jean-Pierre Hansen
Part of the NATO Advanced Study Institutes Series book series (volume 36)

Abstract

Consider a periodic system of N point ions of charge Ze and mass M in a rigid, neutralizing uniform background. For a given configuration \(\mathop r\limits^{ \to N} = \left( {{{\mathop r\limits^ \to }_1},\mathop {{r_2}}\limits^ \to ...,{{\mathop r\limits^ \to }_{\rm N}}} \right)\) of the ions, the total potential energy of the system is:
$${V_N} = \frac{1}{{2v}}{\sum\limits_{k \ne \circ } {\frac{{4\pi \left( {Ze} \right)}}{{{k^2}}}} ^2}\left( {\rho _k^ \to \rho _{ - k}^ \to - {\rm N}} \right)$$
(1.1)
where:
$$\rho _k^ \to = \sum\limits_{i = 1}^N {_ei\mathop k\limits^ \to }.{\mathop r\limits^ \to _i}$$
(1.2)
Excess thermodynamic properties, and more generally, all reduced(dimensionless) equilibrium properties depend on the single dimensionless variable:
$$\Gamma = {\frac{{\left( {Ze} \right)}}{{a{k_B}T}}^2}$$
(1.3)
where a = (3/4πρ)1/3, ρ = N/V. We shall frequently use reduced distance x = r/a and wave numbers q = k/a. To describe dynamical (or time-dependent) properties we introduce an additional time variable t which we express in a “natural” unit, equal to the inverse of the plasma frequency:
$${\omega _p} = {\sqrt {\frac{{4\pi \left( {Ze} \right)}}{M}} ^2}$$
(1.4)

Keywords

Monte Carlo Collective Mode Plasmon Mode Pair Distribution Function Strong Coupling Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1978

Authors and Affiliations

  • Jean-Pierre Hansen
    • 1
  1. 1.Laboratoire de Physique Théorique des LiquidsUniversité Paris VIParis Cedex 05France

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