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      Origins of scale invariance in growth processes

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      Journal: Advances in Physics
      Publisher: Informa UK Limited

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          Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon

          T. A. Witten, L Sander (1981)
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            Large-distance and long-time properties of a randomly stirred fluid

            Dieter Forster, David R. Nelson, Michael Stephen (1977)
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              Theory of Phase Ordering Kinetics

              A. Bray (1995)
              The theory of phase ordering dynamics -- the growth of order through domain coarsening when a system is quenched from the homogeneous phase into a broken-symmetry phase -- is reviewed, with the emphasis on recent developments. Interest will focus on the scaling regime that develops at long times after the quench. How can one determine the growth laws that describe the time-dependence of characteristic length scales, and what can be said about the form of the associated scaling functions? Particular attention will be paid to systems described by more complicated order parameters than the simple scalars usually considered, e.g. vector and tensor fields. The latter are needed, for example, to describe phase ordering in nematic liquid crystals, on which there have been a number of recent experiments. The study of topological defects (domain walls, vortices, strings, monopoles) provides a unifying framework for discussing coarsening in these different systems.
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                Author and article information

                Journal
                Title: Advances in Physics
                Abbreviated Title: Advances in Physics
                Publisher: Informa UK Limited
                ISSN (Print): 0001-8732
                ISSN (Electronic): 1460-6976
                Publication date Created: April 1997
                Publication date (Print): April 1997
                Volume: 46
                Issue: 2
                Pages: 139-282
                Article
                DOI: 10.1080/00018739700101498
                SO-VID: fe4313d7-f96e-4c9c-a4bd-85959e31f676
                Copyright © © 1997
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