Phase behavior of two-dimensional Brownian systems of corner-rounded hexagons

Hou, Zhanglin; Zhao, Kun; Zong, Yanhua; Mason, Thomas G.

doi:10.1103/physrevmaterials.3.015601

Cited by 19 publications

(15 citation statements)

References 38 publications

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“…7(d-2) , which is an indication of a hexatic phase. The local bond orientation order shown in Figure. at this coverage all the particles tend to stick together and they are between the mobile particles, as was also reported in reference [3]. The tendency of ordered particles to stick together causes the probability of success to increase in Figure. 2(b) due to maximizing the available free surface for accepting the new incoming particles.…”

Section: Resultssupporting

confidence: 84%

“…This behavior indicates the tendency of the system towards flatness at an infinite size. From the equality shown in the hatched area of at this coverage all the particles tend to stick together and they are between the mobile particles, as was also reported in reference [3]. The tendency of ordered particles to stick together causes the probability of success to increase in Figure.…”

Section: Resultssupporting

confidence: 80%

“…9(a) indicates that the density should be increased very slowly when we start from an empty lattice, or else the system will be locked into a glassy configuration [66]. A glassy state is reported in reference [3] during rapid compression of a system composed of spherical particles. For the desorption method, Figure.…”

Section: Resultsmentioning

confidence: 99%

“…The phase behavior of the two dimensional systems is a key aspect of many current research areas such as emulsion stability due to particle adsorption at the interface [1,2], particle self-assembly into clusters [3][4][5][6], chemisorption on metal surface [7,8] and melting at an interface [9,10]. Numerous equations of state (EOS) such as the Langmuir [11] and Volmer models have been introduced over the years to describe the adsorption behavior of such systems [12,13].…”

Section: Introductionmentioning

confidence: 99%

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

Darjani

Koplik

Banerjee

et al. 2019

The Journal of Chemical Physics

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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]

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Section: Resultssupporting

confidence: 84%

Section: Resultssupporting

confidence: 80%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Darjani

Koplik

Banerjee

et al. 2019

The Journal of Chemical Physics

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“…However in a fluid of squares with rounded corners, the orientationally disordered hexaticrotator, or orientationally-ordered rhombic crystalline phases are stabilized as density is increased 21,31 , but no T phase was found; instead, an hexatic phase between I and crystal appears for a certain roundness parameter 31 . In the case of hexagons with rounded corners a transition occurs between an hexagonal rotator crystal and an hexagonal crystal 32 . DFT studies revealed that nonpolygonal particles such as hard rectangles [25][26][27] or superellipses close enough to the rectangular shape 33 can stabilize the T phase when the aspect ratio is below a certain critical value.…”

Section: Introductionmentioning

confidence: 99%

Orientational ordering in a fluid of hard kites: A density-functional-theory study

Martı́nez-Ratón

Velasco

2020

Phys. Rev. E

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Using Density Functional Theory we theoretically study the orientational properties of uniform phases of hard kites -two isosceles triangles joined by their common base. Two approximations are used: Scaled Particle Theory, and a new approach which better approximates third virial coefficients of two-dimensional hard particles. By varying some of their geometrical parameters kites can be transformed into squares, rhombuses, triangles, and also very elongated particles, even reaching the hard-needle limit. Thus a fluid of hard kites, depending on the particle shape, can stabilize isotropic, nematic, tetratic and triatic phases. Different phase diagrams are calculated, including those of rhombuses, and kites with two of their equal interior angles fixed to 90 • , 60 • and 75 • . Kites with one of their unequal angles fixed to 72 • , which have been recently studied via Monte Carlo simulations, are also considered. We find that rhombuses and kites with two equal right angles and not too large anisometry stabilise the tetratic phase but the latter stabilize it to a much higher degree. By contrast, kites with two equal interior angles fixed to 60 • stabilize the triatic phase to some extent, although it is very sensitive to changes in particle geometry. Kites with the two equal interior angles fixed to 75 • have a phase diagram with both tetratic and triatic phases, but we show the nonexistence of a particle shape for which both phases are stable at different densities. Finally the success of the new theory in the description of orientational order in kites is shown by comparing with Monte Carlo simulations for the case where one of the unequal angles is fixed to 72 • . These particles also present a phase diagram with stable tetratic and triatic phases.

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