Morphological transitions in Laplacian growth with variable anisotropy

Cristian Moukarzel

Physica A: Statistical Mechanics and its Applications, 1995, vol. 218, issue 3, 249-270

Abstract: A model of deterministic Laplacian growth with variable anisotropy is simulated on a square lattice. Upon changing a parameter α that controls the amount of anisotropy, three clearly distinct morphologies appear, separated by sharp transitions. The model is also shown to describe a problem of fluid invasion in a regular array of chambers connected by pores, in which case α is related to the relative volume of pores and chambers. Particular cases of this model include the usual bond- and site noise reduction cases of the infinite noise reduction models of Laplacian growth, whose relation to fluid invasion is discussed.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:218:y:1995:i:3:p:249-270

DOI: 10.1016/0378-4371(95)00110-S

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