Freezing and melting criteria in non-equilibrium

Hoffmann, G. P.; Löwen, Hartmut

doi:10.1088/0953-8984/13/41/311

Cited by 17 publications

(19 citation statements)

References 56 publications

(70 reference statements)

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“…11 The 2D version of the HV freezing rule 5 states that a 2D liquid freezes when the amplitude of the first peak of the structure factor S͑k͒ exceeds a critical value of approximately 5. For different particle interactions, this critical value varies from 4.4 to 5.5.…”

Section: A Hv 2d Freezing Criterionmentioning

confidence: 99%

“…7,41 This criterion is fairly well established by simulation in both equilibrium and weak nonequilibrium systems. 11 In 3D, the critical value of…”

Section: B Lps 2d Dynamical Freezing Criterionmentioning

confidence: 99%

“…They are, respectively, the 2D version of Hansen-Verlet ͑HV͒ freezing rule, 5 the 2D dynamic Löwen-Palberg-Simon ͑LPS͒ criterion, 6,7 the split second peak of the radial distribution function, 8,9 and the bimodal distribution profile of the shape factor of Voronoi polygons. 10 The 2D HV and LPS criteria have never been tested in experiment; however, they have been demonstrated in both equilibrium and nonequilibrium 11 simulations with various particle interactions. The latter two criteria are not as well tested as HV and LPS; they have been verified in simulations of hard disks and, experimentally, in a qualitatively different nonthermal vibrating granular system.…”

Section: Introductionmentioning

confidence: 99%

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Two-dimensional freezing criteria for crystallizing colloidal monolayers

Wang

Alsayed

Yodh

et al. 2010

The Journal of Chemical Physics

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Recommended CitationWang, Z., Alsayed, A. M., Yodh, A. G., & Han, Y. (2010). Two-dimensional freezing criteria for crystallizing colloidal monolayers. Retrieved from http://repository.upenn.edu/physics_papers/32 Two-dimensional freezing criteria for crystallizing colloidal monolayers AbstractVideo microscopy was employed to explore crystallization of colloidal monolayers composed of diametertunable microgel spheres. Two-dimensional (2D) colloidal liquids were frozen homogenously into polycrystalline solids, and four 2D criteria for freezing were experimentally tested in thermal systems for the first time: the Hansen-Verlet freezing rule, the Löwen-Palberg-Simon dynamical freezing criterion, and two other rules based, respectively, on the split shoulder of the radial distribution function and on the distribution of the shape factor of Voronoi polygons. Importantly, these freezing criteria, usually applied in the context of single crystals, were demonstrated to apply to the formation of polycrystalline solids. At the freezing point, we also observed a peak in the fluctuations of the orientational order parameter and a percolation transition associated with caged particles. Speculation about these percolated clusters of caged particles casts light on solidification mechanisms and dynamic heterogeneity in freezing. Video microscopy was employed to explore crystallization of colloidal monolayers composed of diameter-tunable microgel spheres. Two-dimensional ͑2D͒ colloidal liquids were frozen homogenously into polycrystalline solids, and four 2D criteria for freezing were experimentally tested in thermal systems for the first time: the Hansen-Verlet freezing rule, the Löwen-PalbergSimon dynamical freezing criterion, and two other rules based, respectively, on the split shoulder of the radial distribution function and on the distribution of the shape factor of Voronoi polygons. Importantly, these freezing criteria, usually applied in the context of single crystals, were demonstrated to apply to the formation of polycrystalline solids. At the freezing point, we also observed a peak in the fluctuations of the orientational order parameter and a percolation transition associated with caged particles. Speculation about these percolated clusters of caged particles casts light on solidification mechanisms and dynamic heterogeneity in freezing.

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Section: A Hv 2d Freezing Criterionmentioning

confidence: 99%

“…7,41 This criterion is fairly well established by simulation in both equilibrium and weak nonequilibrium systems. 11 In 3D, the critical value of…”

Section: B Lps 2d Dynamical Freezing Criterionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Two-dimensional freezing criteria for crystallizing colloidal monolayers

Wang

Alsayed

Yodh

et al. 2010

The Journal of Chemical Physics

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“…For two-dimensional (2D) freezing, the following five phenomenological criteria have been proposed: (1) the 2D version of the Hansen-Verlet (HV) freezing rule, 4 (2) the 2D dynamic Löwen-Palberg-Simon (LPS) criterion, 5,6 (3) the split of the second peak of the radial distribution function, 7,8 (4) the bimodal distribution profile of the shape factor of Voronoi polygons, 9 and (5) the zero residual multiparticle entropy (zero-RMPE) criterion. 10 Criteria (1) and (2) have been tested in both equilibrium and nonequilibrium simulations 11 with various particle interactions. Criterion (3) has a 5% ambiguity around the freezing points for hard disks, 8 Lennard-Jones systems 7 and colloidal microgel spheres with short-range repulsions.…”

Section: Introductionmentioning

confidence: 99%

Two features at the two-dimensional freezing transitions

Wang

Peng

et al. 2011

The Journal of Chemical Physics

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We studied the two-dimensional freezing transitions in monolayers of microgel colloidal spheres with shortranged repulsions in video-microscopy experiments, and monolayers of hard disks, and Yukawa particles in simulations. These systems share two common features at the freezing points: (1) the bimodal distribution profile of the local orientational order parameter; (2) the two-body excess entropy, s 2 , reaches −4.5 ± 0.5 k B . Both features are robust and sensitive to the freezing points, so that they can potentially serve as empirical freezing criteria in two dimensions. Compared with the conventional freezing criteria, the first feature has no finite-size ambiguities and can be resolved adequately with much less statistics; and the second feature can be directly measured in macroscopic experiments without the need for microscopic information. We studied the two-dimensional freezing transitions in monolayers of microgel colloidal spheres with short-ranged repulsions in video-microscopy experiments, and monolayers of hard disks, and Yukawa particles in simulations. These systems share two common features at the freezing points: Two features at the two-dimensional freezing transitions(1) the bimodal distribution profile of the local orientational order parameter; (2) the two-body excess entropy, s 2 , reaches −4.5 ± 0.5 k B . Both features are robust and sensitive to the freezing points, so that they can potentially serve as empirical freezing criteria in two dimensions. Compared with the conventional freezing criteria, the first feature has no finite-size ambiguities and can be resolved adequately with much less statistics; and the second feature can be directly measured in macroscopic experiments without the need for microscopic information.

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“…Third, the transition point of an OCP system is typically found by searching for the free energy cross-over via Monte-Carlo methods. However, thermodynamics for repulsive active particles are not yet defined, and so we have to search for a transition point with dynamic simulations, which may give ∼ 10% error depending on the system property and methodology [40].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Antiswarming: Structure and dynamics of repulsive chemically active particles

Yan

Brady

2017

Phys. Rev. E

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Chemically active Brownian particles with surface catalytic reactions may repel each other due to diffusiophoretic interactions in the reaction and product concentration fields. The system behavior can be described by a "chemical" coupling parameter c that compares the strength of diffusiophoretic repulsion to Brownian motion, and by a mapping to the classical electrostatic one component plasma (OCP) system. When confined to a constant-volume domain, body-centered cubic (bcc) crystals spontaneously form from random initial configurations when the repulsion is strong enough to overcome Brownian motion. Face-centered cubic (fcc) crystals may also be stable. The "melting point" of the "liquid-to-crystal transition" occurs at c ≈ 140 for both bcc and fcc lattices.

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Freezing and melting criteria in non-equilibrium

Cited by 17 publications

References 56 publications

Two-dimensional freezing criteria for crystallizing colloidal monolayers

Two-dimensional freezing criteria for crystallizing colloidal monolayers

Two features at the two-dimensional freezing transitions

Antiswarming: Structure and dynamics of repulsive chemically active particles

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