Kinetics of Phase Transitions

Puri, Sanjay

doi:10.1080/01411590410001672648

Cited by 136 publications

(365 citation statements)

References 98 publications

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“…This result is at odds with the claim in [38] that using poorer statistics obtained a value for the exponent b that, the authors claim, is compatible with their estimate of 2θ h . Instead, with much better statistics, we found 2θ eff 0.40 (2) [39] and here we measure b 0.50 (1), two different and well-distinguishable values. Therefore, 2θ h = 2θ eff , and with q 0 we cannot access the persistence exponent.…”

Section: Overlapmentioning

confidence: 55%

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Critical percolation in the dynamics of the 2D ferromagnetic Ising model

Blanchard¹,

Cugliandolo²,

Picco³

et al. 2017

J. Stat. Mech.

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Abstract. We study the early time dynamics of the 2d ferromagnetic Ising model instantaneously quenched from the disordered to the ordered, low temperature, phase. We evolve the system with kinetic Monte Carlo rules that do not conserve the order parameter. We confirm the rapid approach to random critical percolation in a time-scale that diverges with the system size but is much shorter than the equilibration time. We study the scaling properties of the evolution towards critical percolation and we identify an associated growing length, different from the curvature driven one. By working with the model defined on square, triangular and honeycomb microscopic geometries we establish the dependence of this growing length on the lattice coordination. We discuss the interplay with the usual coarsening mechanism and the eventual fall into and escape from metastability.arXiv:1705.06508v3 [cond-mat.stat-mech]

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Section: Overlapmentioning

confidence: 55%

“…The theory of coarsening or phase ordering kinetics [1,2,3] is based on the dynamic scaling hypothesis. It states that at long times the system enters a scaling regime regulated by a single growing length, d (t), such that the structure is statistically invariant when distances are measured with respect to it.…”

Section: Introductionmentioning

confidence: 99%

Critical percolation in the dynamics of the 2D ferromagnetic Ising model

Blanchard¹,

Cugliandolo²,

Picco³

et al. 2017

J. Stat. Mech.

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“…1 When it occurs, the system develops bicontinuous structure, with time-growing domains that are rich in one phase and poor in another. 1 When it occurs, the system develops bicontinuous structure, with time-growing domains that are rich in one phase and poor in another.…”

Section: Introductionmentioning

confidence: 99%

Microdynamics and arrest of coarsening during spinodal decomposition in thermoreversible colloidal gels

2015

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Coarsening and kinetic arrest of colloidal systems undergoing spinodal decomposition (SD) is a conserved motif for forming hierarchical, bicontinuous structures. Although the thermodynamic origins of SD in colloids are widely known, the microstructural processes responsible for its coarsening and associated dynamics en route to arrest remain elusive. To better elucidate the underlying large-scale microdynamical processes, we study a colloidal system with moderate-range attractions which displays characteristic features of arrested SD, and study its dynamics during coarsening through a combination of differential dynamic microscopy and real-space tracking. Using these recently developed imaging techniques, we reveal directly that the coarsening arises from collective dynamics of dense domains, which undergo slow, intermittent, and ballistic motion. These collective motions indicate interfacial effects to be the driving force of coarsening. The nature of the gelation enables control of the arrested length scale of coarsening by the depths of quenching into the spinodal regime, which we demonstrate to provide an effective means to control the elasticity of colloidal gels.

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“…[1][2][3][4] The coarsening process is generally characterized in terms of an averaged domain size R͑t͒, which diverges with time. When this happens, the mixed state is no longer stable and the system evolves displaying growing domains enriched in the different components.…”

Section: Introductionmentioning

confidence: 99%

Use of an enhanced bulk diffusion-based algorithm for phase separation of a ternary mixture

Gómez

Sagués

Reigada

2008

The Journal of Chemical Physics

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Phase separation kinetics of two-dimensional ternary mixtures have been studied by means of a Monte Carlo approach. Standard Kawasaki kinetics are impractical to study the late stages of the segregation process at deep quenches. An extension of the accelerated algorithm for binary mixtures proposed by Marko and Barkema [Phys. Rev. E 52, 2522 (1995)] is presented to overcome this problem in a three-component system discretized with two coupled lattices. We study the domain growth and the scaling behavior over a wide range of quench depths. Computer performances of the Kawasaki and the accelerated schemes are compared.

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Kinetics of Phase Transitions

Cited by 136 publications

References 98 publications

Critical percolation in the dynamics of the 2D ferromagnetic Ising model

Critical percolation in the dynamics of the 2D ferromagnetic Ising model

Microdynamics and arrest of coarsening during spinodal decomposition in thermoreversible colloidal gels

Use of an enhanced bulk diffusion-based algorithm for phase separation of a ternary mixture

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