Liquid-hexatic-solid phase transition of a hard-core lattice gas with third neighbor exclusion

Abstract

The determination of phase behavior and, in particular, the nature of phase transitions in twodimensional systems is often clouded by finite size effects and by access to the appropriate thermodynamic regime. We address these issues using an alternative route to deriving the equation of state of a two-dimensional hard-core particle system, based on kinetic arguments and the Gibbs adsorption isotherm, by use of the random sequential adsorption with surface diffusion (RSAD) model. Insight into coexistence regions and phase transitions is obtained through direct visualization of the system at any fractional surface coverage via local bond orientation order. The analysis of the bond orientation correlation function for each individual configuration confirms that first-order phase transition occurs in a two-step liquid-hexatic-solid transition at high surface coverage. arXiv:1908.05555v1 [cond-mat.soft]

Improvement of rheological and filtration characteristics of water-based drilling fluids using naturally derived henna leaf and hibiscus leaf extracts

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“…Monte Carlo simulations have been used to study several other particle shapes and their mixtures [14][15][16][17][18][19][20][21][22][23], most of them on the square, triangular, or cubic lattices. Recently, a number of models with both symmetrical and asymmetrical particles have been studied in continuous [24] and discrete [16,25,26] space, showing several phase transitions, including high-density columnar phases missed by earlier studies on the square lattice and an hexatic phase on the triangular lattice [27]. In contrast to previous approaches, which employed single-particle modifications during sampling, recent studies employ highly efficient cluster algorithms [16,17,19,21,25,26], enabling simulations of systems with up to N = 1024 2 lattice sites.…”

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