title: Statistically interacting vacancy particles.
abstract: The equilibrium statistical mechanics of one-dimensional lattice gases with interactions of arbitrary range and shape between first-neighbor atoms is solved exactly on the basis of statistically interacting vacancy particles. Two sets of vacancy particles are considered. In one set all vacancies are of one-cell size. In the other set the sizes of vacancy particles match the separation between atoms. Explicit expressions are obtained for the Gibbs free energy and the distribution of spaces between atoms at thermal equilibrium. Applications to various types of interaction potentials are discussed, including long-range potentials that give rise to phase transitions. Extensions to hard rod systems are straightforward and are shown to agree with existing results for lattice models and their continuum limits.
authors.affiliation: Fachbereich Physik, Universität Osnabrück, D-49076 Osnabrück, Germany.
authors.forename: Benaoumeur
authors.initials: B
authors.lastname: Bakhti
authors.affiliation: Fachgruppe Physik, Bergische Universität Wuppertal, D-42097 Wuppertal, Germany.
authors.forename: Michael
authors.initials: M
authors.lastname: Karbach
authors.affiliation: Fachbereich Physik, Universität Osnabrück, D-49076 Osnabrück, Germany.
authors.forename: Philipp
authors.initials: P
authors.lastname: Maass
authors.affiliation: Department of Physics, University of Rhode Island, Kingston, Rhode Island 02881, USA.
authors.forename: Mohammad
authors.initials: M
authors.lastname: Mokim
authors.affiliation: Department of Physics, University of Rhode Island, Kingston, Rhode Island 02881, USA.
authors.forename: Gerhard
authors.initials: G
authors.lastname: Müller