2011/11/18 by Marcelo Thielo, Thielo, Marcelo R., Márcia C. Barbosa +1
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1111.4331
openalex publication_date 2011/11/18 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28
We propose a model for a two dimensional, associative water-like lattice gas\nwith one single variable representing both long and short-range interactions.\nThe corresponding hamiltonian was solved exactly, by state enumeration in a\nfinite lattice, so to obtain an analytic expression for the partition function.\nThe lattice dimensions were chosen based on geometric characteristics of the\nstable phases found in previous works using Monte Carlo simulations. An\nexpression for the particle density in the finite lattice was then obtained,\nand coexistence curves with a region of anomaly in the density presented in a\nphase diagram. In the end, a phenomenological theory for the system density is\nproposed and compared to the previous results.\n