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Lattice Gases

  • David A. Lavis
  • George M. Bell
Chapter
  • 585 Downloads
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

In a classical fluid composed of M similar spherical molecules contained in a volume \(\tilde V\), the molecules are regarded as centres of force situated at points r 1, r 2, ..., r M in \(\tilde V\). The configurational energy is the sum of ½M(M − 1) terms, each representing the interaction energy of a pair of centres and dependent on the distance between them. Thus, the configurational energy is
$$E\left( {{r_1},{r_2}, \ldots ,{r_M}} \right) = \sum\limits_{\left\{ {i < j} \right\}} {u\left( {\left| {{r_i} - {r_j}} \right|} \right)} $$
(5.1)
.

Keywords

Ising Model Hard Core Helmholtz Free Energy Exclusion Model Helmholtz Free Energy Density 
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

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • David A. Lavis
    • 1
  • George M. Bell
    • 1
  1. 1.Department of MathematicsKing’s College, University of London StrandLondonUK

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