One-Dimensional Lattice Gas with Exponential Attractive Potentials

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This chapter considers the Kac-Helfand system: an one-dimensional lattice gas with n sites and exponential attractive interaction εij= - αγe- γ | i - j |. The solution of this system is derived, in the grand canonical ensemble, taking the thermodynamical limit n→ ∞ at fixed ratio of the interaction range to the lattice size γ- 1/ n= 1 / a. The existence of a phase transition at finite a is demonstrated explicitly. The solution reduces to the van der Waals theory in the limit a→ ∞.

Original languageEnglish
Title of host publicationSpringerBriefs in Applied Sciences and Technology
Pages77-95
Number of pages19
DOIs
StatePublished - 2022

Publication series

NameSpringerBriefs in Applied Sciences and Technology
ISSN (Print)2191-530X
ISSN (Electronic)2191-5318

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