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1994
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GLOTZER SC, DIMARZIO EA
CHEMICALLY CONTROLLED PATTERN-FORMATION IN PHASE-SEPARATING MATERIALS
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS 16 (8): 1171-1176 AUG 1994
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The role of chemical reactions in the selection of patterns in phase-separating mixtures is presented. Linearized theory and computer simulation show that the initial long-wavelength instability characteristic of spinodal decomposition is suppressed by chemical reactions, which restrict domain growth to intermediate length scales even in the late stages of phase separation. Our findings suggest that chemical reactions may provide a novel way to stabilize and tune the steady-state morphology of phase-separating materials.
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Glotzer SC
Chapters 1, 2 and 3, Fractals in Science: An Introductory Course, Buldyrev S, et al., eds
Fractals in Science: An Introductory Course, S.Buldyrev, et al., eds (Springer-Verlag, New York, 1994)
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Glotzer SC, DiMarzio EA, Muthukumar M
Spinodal Decomposition of Chemically-Reactive Materials
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY 208: 350-PMS0 Part 2, AUG 21 1994
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GLOTZER SC, CONIGLIO A
SELF-CONSISTENT SOLUTION OF PHASE-SEPARATION WITH COMPETING INTERACTIONS
PHYSICAL REVIEW E 50 (5): 4241-4244 NOV 1994
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We present a solution of a modified time-dependent Ginzburg-Landau equation in the limit of infinite order-parameter dimension N. The scalar (N=1) model is believed to describe phase separation in chemically reactive binary mixtures, block copolymers, and other systems where competing short-range and long-range interactions give rise to steady-state, spatially periodic structures. We present exact analytical expressions for the time dependence of the dynamic structure factor S(k,t) and the peak position km(t). We compare the scaling behavior for N=∞ with that observed in the scalar model.
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GLOTZER SC, STAUFFER D, JAN N
MONTE-CARLO SIMULATIONS OF PHASE-SEPARATION IN CHEMICALLY REACTIVE BINARY-MIXTURES
PHYSICAL REVIEW LETTERS 72 (26): 4109-4112 JUN 27 1994
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We present Monte Carlo simulations of a binary mixture simultaneously undergoing spinodal decomposition and the chemical reaction A half arrow right over half arrow left B. The competing processes give rise to novel, steady-state pattern formation with domain size scaling with reaction rate to a power, s, which equals the domain growth exponent, alpha, in the absence of chemical reactions. Our findings support recent numerical simulations of a Cahn-Hilliard-type model, suggesting that chemical reactions can be used to stabilize and tune patterns arising during phase separation.
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OSSADNIK P, GYURE MF, STANLEY HE, GLOTZER SC
MOLECULAR-DYNAMICS SIMULATION OF SPINODAL DECOMPOSITION IN A 2-DIMENSIONAL BINARY-FLUID MIXTURE
PHYSICAL REVIEW LETTERS 72 (15): 2498-2498 APR 11 1994
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A Comment on the Letter by E. Velasco and S. Toxvaerd, Phys. Rev. Lett. 71, 388 (1993).
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GLOTZER SC, GYURE MF, SCIORTINO F, CONIGLIO A, STANLEY HE
PINNING IN PHASE-SEPARATING SYSTEMS
PHYSICAL REVIEW E 49 (1): 247-258 JAN 1994
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We study a dynamical model of a system with two disparate;energy scales, and focus on the kinetics of phase separation. In this model, nearest-neighbor monomers can interact with one of two quite distinct energies,thereby describing a system with, e.g., van der Waals and hydrogen bond interactions. While the model has been described by an effective Ising model in equilibrium, the nonequilibrium dynamics of phase separation have never-been explored. Here we use Monte Carlo computer simulations of spinodal decomposition to show that the model exhibits ''pinning'' of the structure factor, a behavior also seen in phase-separating polymer-gels and binary alloys with impurities. The rate of strong bond formation depends on an entropic parameter Omega, and we find both the pinned domain size and the crossover time between ''normal'' spinodal decomposition and the pinning scale with Omega as power laws with exponents that relate simply;to the usual growth exponent. We propose a specific mechanism for pinning that permits the prediction of exact values for the pinning exponents. Finally, we discuss applications of the model to binary alloys with quenched disorder and polymer gels.