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Cell dynamical system study of phase separation dynamics
Author(s) -
Oono Y.,
Puri S.,
Yeung C.,
Bahiana M.
Publication year - 1988
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889888002079
Subject(s) - scaling , exponent , amplitude , statistical physics , noise (video) , physics , dynamic scaling , crossover , lattice (music) , phase (matter) , structure factor , condensed matter physics , mathematics , quantum mechanics , computer science , geometry , philosophy , linguistics , artificial intelligence , acoustics , image (mathematics)
A cell dynamical system (CDS) is defined by a map which takes a configuration on a lattice at a time t to a configuration at time t + 1. Phase‐ordering dynamics, block copolymers etc . have been modeled in terms of CDS. With the phase‐ordering dynamics model, the scaling exponent (and the universal function) for the form factor in the scaling regime and the effect of noise on these have been studied. It is clearly observed that, for the ordering process in the (critically quenched) conserved order parameter case, the scaling exponent crosses over from ~ 0.28 to ~ 0.33. This crossover is delayed with the introduction of noise, with larger amplitudes of noise causing a greater delay.