Free energy, entropy, and lattice gas representations

Jerome Percus

Research output: Contribution to journalArticle

Abstract

The entropy formulation for profile equations of pair-interacting classical fluids is recalled, and the special case of next-neighbor interacting fluids in one dimension carried out in auxiliary field form. Attention shifts to the general lattice gas with multi-state sites. The exact entropy is obtained for next-neighbor interacting Cayley trees, and generalized to simplicial trees with adjacent surface interactions. We then find the continuum limit of the tree models in their usual lattice gas version and put this in the general context of many-body interacting classical systems.

Original languageEnglish (US)
Pages (from-to)369-387
Number of pages19
JournalPhysica A: Statistical Mechanics and its Applications
Volume283
Issue number3
DOIs
StatePublished - Aug 15 2000

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Lattice Gas
Free Energy
free energy
Entropy
entropy
Cayley Tree
Fluid
Multi-state
Continuum Limit
gases
One Dimension
Adjacent
fluids
surface reactions
Formulation
Interaction
continuums
formulations
shift
profiles

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Free energy, entropy, and lattice gas representations. / Percus, Jerome.

In: Physica A: Statistical Mechanics and its Applications, Vol. 283, No. 3, 15.08.2000, p. 369-387.

Research output: Contribution to journalArticle

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