Journal ArticleDOI
Ordering kinetics in liquid crystals with long-ranged interactions.
TLDR
It is found that systems with n = 2 show the same dynamical behavior as the nearest-neighbor case (n = ∞), which contradicts available theoretical predictions.Abstract:
We present the results from comprehensive Monte Carlo (MC) simulations of ordering kinetics in d = 2 liquid crystals (LCs) Our LC system is described by the two-component Lebwohl-Lasher model with long-ranged interactions, V(r) ∼ r
-n We find that systems with $n \geq 2$
show the same dynamical behavior as the nearest-neighbor case (n = ∞ This contradicts available theoretical predictionsread more
Citations
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Phase ordering kinetics of the long-range Ising model.
TL;DR: The authors' Monte Carlo simulations of the long-range Ising model for the nonequilibrium phase ordering dynamics in two spatial dimensions perform significantly faster than the standard Metropolis approach and considerably more efficiently than the kinetic Monte Carlo method.
Journal ArticleDOI
Aging in the Long-Range Ising Model.
TL;DR: The aging in the phase-ordering kinetics of the two-dimensional Ising model with power-law long-range interactions is studied via Monte Carlo simulations and the dynamical scaling of theTwo-time spin-spin autocorrelator is well described by simple aging.
Journal Article
Domain-growth scaling in systems with long-range interactions
TL;DR: In this paper, the growth kinetics of a system quenched into the ordered phase from high temperatures is considered for systems with power-law interactions of the form 1/r d+σ, with 0 1, and the characteristic scale L (t), which describes the growth of order at late times, is predicted to obey the conventional Lifshitz-Slyozov and Lifshitzer-Cahn-Allen laws, L(t)∼t 1/3 and t 1/2 for conserved and nonconserved scalar order parameters, respectively.
Journal ArticleDOI
Laminar flow drag reduction on soft porous media
TL;DR: In this article, the authors quantitatively investigated the flow over a porous medium by developing a framework to model flow of a Newtonian fluid in a channel where the lower surface was replaced by various porous media.
Journal Article
Laminar flow drag reduction on soft porous media
TL;DR: This work quantitatively investigated the flow over a porous medium by developing a framework to model flow of a Newtonian fluid in a channel where the lower surface was replaced by various porous media and showed that the flow drag reduction induced by the presence of the porous media depends on the values of the permeability parameter.
References
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Journal ArticleDOI
Theory of phase-ordering kinetics
TL;DR: The theory of phase-ordering dynamics that is the growth of order through domain coarsening when a system is quenched from the homogeneous phase into a broken-symmetry phase, with the emphasis on recent developments, is reviewed in this paper.
Book
Phase Transition Dynamics
TL;DR: In this article, a wide variety of topics systematically by constructing time-dependent Ginzburg-Landau models for various systems in physics, metallurgy and polymer science are treated, treating interdisciplinary problems in a unified manner.
Journal ArticleDOI
Theory for the Slowing Down of the Relaxation and Spinodal Decomposition of Binary Mixtures
Kurt Binder,Dietrich Stauffer +1 more
TL;DR: In this article, the weak nonexponential relaxation of alloys was explained in terms of a cluster reaction and diffusion process, and the experimental observability of this slowing down was discussed.
Journal ArticleDOI
Cosmology in the Laboratory: Defect Dynamics in Liquid Crystals
TL;DR: Experiments described here support the simple "one-scale" model for cosmic string evolution, as well as some qualitative predictions of string statistical mechanics.