First order phase transitions in classical lattice gas spin models

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dc.creatorChamati, H
dc.creatorRomano, S
dc.date2007-05-15
dc.date.accessioned2026-07-07T08:01:39Z
dc.date.available2026-07-07T08:01:39Z
dc.descriptionThe present paper considers some classical ferromagnetic lattice--gas models, consisting of particles that carry $n$--component spins ($n=2,3$) and associated with a $D$--dimensional lattice ($D=2,3$); each site can host one particle at most, thus implicitly allowing for hard--core repulsion; the pair interaction, restricted to nearest neighbors, is ferromagnetic, and site occupation is also controlled by the chemical potential $μ$. The models had previously been investigated by Mean Field and Two--Site Cluster treatments (when D=3), as well as Grand--Canonical Monte Carlo simulation in the case $μ=0$, for both D=2 and D=3; the obtained results showed the same kind of critical behaviour as the one known for their saturated lattice counterparts, corresponding to one particle per site. Here we addressed by Grand--Canonical Monte Carlo simulation the case where the chemical potential is negative and sufficiently large in magnitude; the value $μ=-D/2$ was chosen for each of the four previously investigated counterparts, together with $μ=-3D/4$ in an additional instance. We mostly found evidence of first order transitions, both for D=2 and D=3, and quantitatively characterized their behaviour. Comparisons are also made with recent experimental results.
dc.description9 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/0705.2116
dc.identifierhttp://arxiv.org/abs/0705.2116
dc.identifierPhys. Rev. B 75, 184413 (2007) (9 pages)
dc.identifierdoi:10.1103/PhysRevB.75.184413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128975
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleFirst order phase transitions in classical lattice gas spin models
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