Interpolating between quenched and annealed disorder

Michael F. Zimmer

Physica A: Statistical Mechanics and its Applications, 1994, vol. 211, issue 4, 365-380

Abstract: A host-impurity system is considered, and the effect on the host due to a slow relaxation of the impurity is studied, when each can be described by a continuous field. Langevin dynamics are assumed for each field, along with a special choice of initial conditions that corresponds to a quenched equilibrium. Equal-time correlation functions interpolate between the limiting cases of a quenched and annealed impurity. An effective critical temperature may be defined, which is dependent on the relaxation rate of the impurity and the duration of the experiment. A simulation for the case of a conserved impurity and nonconserved host is used to demonstrate how a coexistence curve can become smeared when the relaxation rate of the impurity is small. The impurity enslaves the host, causing it to phase separate with a pattern that is more reminiscent of a conserved field. Also, it is suggested that the approach used could shed some light on the difficulties with one of the fixed points of Model C.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:211:y:1994:i:4:p:365-380

DOI: 10.1016/0378-4371(94)00178-2

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