Kinetics of ordering

Dattagupta, S. (1993) Kinetics of ordering Physica A: Statistical Mechanics and its Applications, 194 (1-4). pp. 137-153. ISSN 0378-4371

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The kinetics of certain complex ordering processes during structural phase transitions in alloys necessitates a fresh look at the validity of the widely used phenomenological equations of the time-dependent Ginzburg-Landau and Cahn-Hilliard types. We start with a longish introduction so as to motivate the need for studying mixed kinetics in which both Glauber and Kawasaki processes occur, as well as segregation of an AB mixture in the presence of anisotropic fields, e.g., gravity. We argue then that the most systematic method of tackling these problems is via the master equation approach to kinetic Ising models. Using such an approach we derive order parameter rate equations for both mixed kinetics and segregation under gravity. Our results show that only under certain limiting conditions do these equations reduce to the usual phenomenological forms. The consequences of complex ordering processes are also discussed.

Item Type:Article
Source:Copyright of this article belongs to European Physical Society.
ID Code:9250
Deposited On:29 Oct 2010 11:11
Last Modified:28 May 2011 11:54

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