Phase transitions in hard-core lattice gases on the honeycomb lattice

Physical Review. E
Filipe C Thewes, Heitor C Marques Fernandes

Abstract

We study lattice gas systems on the honeycomb lattice where particles exclude neighboring sites up to order k (k=1,...,5) from being occupied by another particle. Monte Carlo simulations were used to obtain phase diagrams and characterize phase transitions as the system orders at high packing fractions. For systems with first-neighbors exclusion (1NN), we confirm previous results suggesting a continuous transition in the two-dimensional Ising universality class. Exclusion up to second neighbors (2NN) lead the system to a two-step melting process where, first, a high-density columnar phase undergoes a first-order phase transition with nonstandard scaling to a solidlike phase with short-range ordered domains and, then, to fluidlike configurations with no sign of a second phase transition. 3NN exclusion, surprisingly, shows no phase transition to an ordered phase as density is increased, staying disordered even to packing fractions up to 0.98. The 4NN model undergoes a continuous phase transition with critical exponents close to the three-state Potts model. The 5NN system undergoes two first-order phase transitions, both with nonstandard scaling. We, also, propose a conjecture concerning the possibility of more than one phase tran...Continue Reading

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Citations

Feb 21, 2021·The Journal of Chemical Physics·Shaghayegh DarjaniSanjoy Banerjee
Apr 18, 2021·Physical Review. E·Nathann T Rodrigues, Tiago J Oliveira
Apr 27, 2021·Physics of Fluids·Nicola SerraConsolato M Sergi
May 20, 2021·Physical Review. E·Deepak Dhar, R Rajesh

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