dc.creatorOliveira, Tiago J.
dc.creatorStilck, Jürgen F.
dc.date2018-05-03T18:08:31Z
dc.date2018-05-03T18:08:31Z
dc.date2011-10-14
dc.date.accessioned2023-09-27T21:55:25Z
dc.date.available2023-09-27T21:55:25Z
dc.identifier1089-7690
dc.identifierhttps://doi.org/10.1063/1.3658045
dc.identifierhttp://www.locus.ufv.br/handle/123456789/19316
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8968139
dc.descriptionAthermal lattice gases of particles with first neighbor exclusion have been studied for a long time as simple models exhibiting a fluid-solid transition. At low concentration the particles occupy randomly both sublattices, but as the concentration is increased one of the sublattices is occupied preferentially. Here, we study a mixed lattice gas with excluded volume interactions only in the grand-canonical formalism with two kinds of particles: small ones, which occupy a single lattice site and large ones, which, when placed on a site, do not allow other particles to occupy its first neighbors also. We solve the model on a Bethe lattice of arbitrary coordination number q. In the parameter space defined by the activities of both particles, at low values of the activity of small particles (z1) we find a continuous transition from the fluid to the solid phase as the activity of large particles (z2) is increased. At higher values of z1 the transition becomes discontinuous, both regimes are separated by a tricritical point. The critical line has a negative slope at z1 = 0 and displays a minimum before reaching the tricritical point, so that a re-entrant behavior is observed for constant values of z2 in the region of low density of small particles. The isobaric curves of the total density of particles as a function of the density or the activity of small particles show a minimum in the fluid phase.
dc.formatpdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherThe Journal of Chemical Physics
dc.relationv. 135, p. 1845021-1845027, nov. 2011
dc.rightsAmerican Institute of Physics
dc.subjectSolution
dc.subjectBethe lattice
dc.subjectHard core athermal gas with two kinds of particles
dc.titleSolution on the bethe lattice of a hard core athermal gas with two kinds of particles
dc.typeArtigo


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