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Interface dynamics in directional solidification: A lattice simulation with biased random walkers

Subir K. Sarkar and Mogens H. Jensen
Phys. Rev. A 35, 1877 – Published 1 February 1987
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Abstract

We devise and implement a technique to study the evolution of the interface for a one-sided model of directional solidification on a lattice with biased random walkers. Results include the appearance of a marginally stable wavelength at the onset of nonlinearity. Also, as the velocity of the interface is increased, there is a morphological transition from flat to cellular, and then to cellular with grooves. Anisotropy in dynamics is not included and the transition from cells to dendrites has not been seen.

  • Received 28 April 1986

DOI:https://doi.org/10.1103/PhysRevA.35.1877

©1987 American Physical Society

Authors & Affiliations

Subir K. Sarkar

  • The Department of Physics and The James Franck Institute of The University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637

Mogens H. Jensen

  • The James Franck Institute of the University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637

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Vol. 35, Iss. 4 — February 1987

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