Lattice Gases

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


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
$$E\left( {{r_1},{r_2}, \ldots ,{r_M}} \right) = \sum\limits_{\left\{ {i < j} \right\}} {u\left( {\left| {{r_i} - {r_j}} \right|} \right)} $$


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