Spectral method study of domain coarsening

David J. Horntrop
Phys. Rev. E 75, 046703 – Published 10 April 2007

Abstract

The self-organization of particles in a two phase system in the coexistence region through a diffusive mechanism is known as Ostwald ripening. The late stage of Ostwald ripening is studied here through the use of a mesoscopic model in conjunction with a special configuration that allows for the direct measurement of system characteristics such as domain size. The mesoscopic model is a stochastic partial integrodifferential equation and is studied through the use of recently developed and benchmarked spectral schemes. The size of the growing region is not observed to increase as a power law in this model during the late stages of self-organization in contrast to the power law growth observed in simulations of the earlier stages of self-organization. The results included here also demonstrate the effect of adjusting the interparticle interaction on the morphological evolution of the system.

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  • Received 23 October 2006

DOI:https://doi.org/10.1103/PhysRevE.75.046703

©2007 American Physical Society

Authors & Affiliations

David J. Horntrop*

  • Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA

  • *FAX: (973) 596-5591. Email address: horntrop@njit.edu

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Issue

Vol. 75, Iss. 4 — April 2007

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