Surface heterogeneity affects percolation and gelation of colloids: dynamic simulations with random patchy spheres

Wang, Gang; Swan, James W.

doi:10.1039/c9sm00607a

Cited by 29 publications

(27 citation statements)

References 69 publications

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“…It appears that the classically discussed equilibrium percolation 24 , 25 extends towards a nonequilibrium continuation, governed by very different underlying kinetics (broken detailed balance), of crucial importance in, for example, biological structure formation. Indeed, recent studies on the gelation of random-patchy particles mimicking proteins highlight the direct analogy to adhesive hard spheres and our system 11 .…”

Section: Discussionmentioning

confidence: 89%

“…biological structure formation. Indeed, recent studies on the gelation of random-patchy particles mimicking proteins highlight the direct analogy to adhesive hard spheres and our system [11].…”

Section: Verification Of Model Predictionsmentioning

confidence: 89%

“…Important examples include attractive colloidal particles that aggregate into system-spanning networks known as gelation [1]. Extensive work has gone into mapping the phase boundary of this transition, unravelling jamming diagrams across a range of volume fractions and particle interaction strength [1][2][3][4][5][6][7][8][9][10][11]. While much studied for strong attraction, where particles stick irreversibly and open structures form [12][13][14][15][16], and at rather low attraction, typically by colloidal depletion interaction, where phase separation occurs by spinodal decomposition into depletant-rich and depletant-poor phases with subsequent arrest [2], the situation is much less clear for intermediate particle attraction, where the structure forms in a highly out-of-equilibrium process, most relevant to structure formation in biology.…”

Section: Introductionmentioning

confidence: 99%

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Nonequilibrium continuous phase transition in colloidal gelation with short-range attraction

et al. 2020

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The arrest of attractive particles into out-of-equilibrium structures known as gelation is central to biophysics, material science and food and cosmetic applications, but a complete understanding is lacking. In particular for intermediate particle density and attraction, the structure formation process remains unclear. Here, we show that the gelation of short-range attractive particles is governed by a nonequilibrium percolation process. We combine experiments on critical Casimir colloidal suspensions, simulations, and analytic modelling with a master kinetic equation to show that cluster sizes and correlation lengths diverge with exponents ∼ 1.6 and 0.8, respectively, consistent with percolation theory, while detailed balance in the particle attachment and detachment processes is broken. Cluster masses exhibit power-law distributions with exponents −3/2 and −5/2 before and after percolation, as predicted by solutions to the master kinetic equation. These results revealing a nonequilibrium continuous phase transition unify the structural arrest and yielding into related frameworks.

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Section: Discussionmentioning

confidence: 89%

Section: Verification Of Model Predictionsmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

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Nonequilibrium continuous phase transition in colloidal gelation with short-range attraction

et al. 2020

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“…Wang et al [45] recently studied such a model, where each particle had 42 randomly arranged interaction sites. This surface heterogeneity shifted the gel point away from that predicted by…”

Section: Introductionmentioning

confidence: 99%

Computer simulations of colloidal gels: how hindered particle rotation affects structure and rheology

et al. 2020

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The effects of particle roughness and short-ranged non-central forces on colloidal gels are studied using computer simulations in which particles experience a sinusoidal variation in energy as they rotate. The number of minima n and energy scale K are the key parameters; for large K and n, particle rotation is strongly hindered, but for small K and n particle rotation is nearly free.A series of systems are simulated and characterized using fractal dimensions, structure factors, coordination number distributions, bond-angle distributions and linear rheology. When particles rotate easily, clusters restructure to favor dense packings. This leads to longer gelation times and gels with strand-like morphology. The elastic moduli of such gels scale as G ∝ ω 0.5 at high shear frequencies ω. In contrast, hindered particle rotation inhibits restructuring and leads to rapid gelation and diffuse morphology. Such gels are stiffer, with G ∝ ω 0.35 . The viscous moduli G in the low-barrier and high-barrier regimes scale according to exponents 0.53 and 0.5, respectively.The crossover frequency between elastic and viscous behaviors generally increases with the barrier to rotation. These findings agree qualitatively with some recent experiments on heterogeneouslysurface particles and with studies of DLCA-type gels and gels of smooth spheres. arXiv:1909.01491v1 [cond-mat.soft] 3 Sep 2019Key simulation parameters are summarized in Table I. Because the particles are monodisperse, they all have the same mass m. All quantities are reported in reduced units, with temperature scaled by , distance scaled by the particle diameter σ. The reduced unit for

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“…23,24 Thus, several works have been devoted to determinating the physical parameters and demonstrating phase boundary mapping of the phase transition by examining a range of volume fractions, temperature, and interaction strength between particles. [25][26][27][28][29][30][31][32][33][34][35] As schematically shown at the top of Fig. 1, membrane nano inclusions interact with the surrounding membrane lipids.…”

Section: Introductionmentioning

confidence: 99%

An efficient approach to study membrane nano-inclusions: from the complex biological world to a simple representation

et al. 2021

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Surface heterogeneity affects percolation and gelation of colloids: dynamic simulations with random patchy spheres

Abstract: Surface heterogeneity of colloidal particles has a significant impact on their structure in solution and their rheological properties.

Cited by 29 publications

References 69 publications

Nonequilibrium continuous phase transition in colloidal gelation with short-range attraction

Nonequilibrium continuous phase transition in colloidal gelation with short-range attraction

Computer simulations of colloidal gels: how hindered particle rotation affects structure and rheology

An efficient approach to study membrane nano-inclusions: from the complex biological world to a simple representation

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