Discontinuous phase transition in a dimer lattice gas

The Journal of Chemical Physics
Ronald Dickman

Abstract

I study a dimer model on the square lattice with nearest neighbor exclusion as the only interaction. Detailed simulations using tomographic entropic sampling show that as the chemical potential is varied, there is a strongly discontinuous phase transition, at which the particle density jumps by about 18% of its maximum value, 1/4. The transition is accompanied by the onset of orientational order, to an arrangement corresponding to the {1/2, 0, 1/2} structure identified by Phares et al. [Physica B 409, 1096 (2011)] in a dimer model with finite repulsion at fixed density. Using finite-size scaling and Binder's cumulant, the expected scaling behavior at a discontinuous transition is verified in detail. The discontinuous transition can be understood qualitatively given that the model possesses eight equivalent maximum-density configurations, so that its coarse-grained description corresponds to that of the q = 8 Potts model.

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Citations

Feb 16, 2015·The Journal of Chemical Physics·Nicola Kleppmann, Sabine H L Klapp
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Joyjit Kundu, R Rajesh
Jul 16, 2019·The Journal of Chemical Physics·Nathann T Rodrigues, Tiago J Oliveira
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jürgen F Stilck, R Rajesh
Apr 15, 2019·The Journal of Chemical Physics·Rakesh ChatterjeeYair Shokef
May 30, 2015·Physical Review Letters·Kabir RamolaDeepak Dhar
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Joyjit Kundu, R Rajesh
Jul 22, 2020·Physical Review. E·Filipe C Thewes, Heitor C M Fernandes
Aug 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Trisha Nath, R Rajesh
Apr 18, 2021·Physical Review. E·Nathann T Rodrigues, Tiago J Oliveira

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