Binary lattice-gases of particles with soft exclusion: Exact phase diagrams for tree-like lattices
| Autor: | Shapoval, Dmytro, Dudka, Maxym, Bénichou, Olivier, Oshanin, Gleb |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | J. Phys. A: Math. Theor. 54, 385003 (2021) |
| Druh dokumentu: | Working Paper |
| 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: | arXiv |
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