Binary lattice-gases of particles with soft exclusion: exact phase diagrams for tree-like lattices
| Autor: | Dmytro Shapoval, Gleb Oshanin, Olivier Bénichou, M. Dudka |
|---|---|
| Přispěvatelé: | Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
media_common.quotation_subject General Physics and Astronomy Frustration FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas Lattice (order) Phase (matter) 0103 physical sciences Symmetry breaking 010306 general physics Mathematical Physics Condensed Matter - Statistical Mechanics ComputingMilieux_MISCELLANEOUS Phase diagram media_common Physics [PHYS]Physics [physics] Condensed matter physics Bethe lattice Statistical Mechanics (cond-mat.stat-mech) Order (ring theory) Statistical and Nonlinear Physics 16. Peace & justice Modeling and Simulation Ternary operation |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2021, 54 (38), pp.385003. ⟨10.1088/1751-8121/ac1c39⟩ |
| ISSN: | 1751-8113 1751-8121 |
| DOI: | 10.1088/1751-8121/ac1c39⟩ |
| Popis: | We study equilibrium properties of binary lattice-gases comprising $A$ and $B$ particles, which undergo continuous exchanges with their respective reservoirs, maintained at chemical potentials $\mu_A = \mu_B = \mu$. The particles interact via on-site hard-core exclusion and also between the nearest-neighbours: there are a soft repulsion for $AB$ pairs and interactions of arbitrary strength $J$, positive or negative, for $AA$ and $BB$ pairs. For tree-like Bethe and Husimi lattices, we determine the full phase diagram of such a ternary mixture of particles and voids. We show that for $J$ being above a lattice-dependent threshold value, the critical behaviour is similar: the system undergoes a transition at $\mu = \mu_c$ from a phase with equal mean densities of species into a phase with a spontaneously broken symmetry, in which the mean densities are no longer equal. Depending on the value of $J$, this transition can be either continuous or of the first order. For sufficiently big negative $J$, the behaviour on the two lattices becomes markedly different: while for the Bethe lattice there exists a continuous transition into a phase with an alternating order followed by a continuous re-entrant transition into a disordered phase, an alternating order phase is absent on the Husimi lattice due to strong frustration effects. Comment: 38 pages, 16 figures |
| Databáze: | OpenAIRE |
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