Multiscale Random-Walk Algorithm for Simulating Interfacial Pattern Formation

Physics – Condensed Matter – Materials Science

Scientific paper

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4 pages RevTex, 6 eps figures; substantial changes in presentation, but results and conclusions remain the same

Scientific paper

10.1103/PhysRevLett.84.1740

We present a novel computational method to simulate accurately a wide range of interfacial patterns whose growth is limited by a large scale diffusion field. To illustrate the computational power of this method, we demonstrate that it can be used to simulate three-dimensional dendritic growth in a previously unreachable range of low undercoolings that is of direct experimental relevance.

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