# First order phase transitions in classical lattice gas spin models - Condensed Matter > Statistical Mechanics

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Abstract: The present paper considers some classical ferromagnetic lattice-gas models,consisting of particles that carry $n$-component spins ($n=2,3$) andassociated with a $D$-dimensional lattice ($D=2,3$); each site can host oneparticle at most, thus implicitly allowing for hard-core repulsion; the pairinteraction, restricted to nearest neighbors, is ferromagnetic, and siteoccupation is also controlled by the chemical potential $\mu$. The models hadpreviously been investigated by Mean Field and Two-Site Cluster treatments(when D=3), as well as Grand-Canonical Monte Carlo simulation in the case$\mu=0$, for both D=2 and D=3; the obtained results showed the same kind ofcritical behaviour as the one known for their saturated lattice counterparts,corresponding to one particle per site. Here we addressed by Grand-CanonicalMonte Carlo simulation the case where the chemical potential is negative andsufficiently large in magnitude; the value $\mu=-D-2$ was chosen for each ofthe four previously investigated counterparts, together with $\mu=-3D-4$ in anadditional instance. We mostly found evidence of first order transitions, bothfor D=2 and D=3, and quantitatively characterized their behaviour. Comparisonsare also made with recent experimental results.

Autor: H Chamati, S Romano

Fuente: https://arxiv.org/