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Morphology and selection processes in diffusion-controlled growth patterns

H. Müller-Krumbhaar, M. Zimmer, T. Ihle and Y. Saito

Physica A: Statistical Mechanics and its Applications, 1996, vol. 224, issue 1, 322-337

Abstract: The evolution and selection of fractal and compact growth patterns is described. As a particular example the growth of a supercritical nucleus occurring during typical first-order phase transitions and its behaviour at long times and large lengths is discussed. While the generic growth mode is the dendritic growth, we discuss also the recently discovered doublon-growth in two dimensions and the occurrence of fractal growth at low driving forces. Finally numerical and analytical results on the competition of two or more growth patterns along a growth front are presented.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:224:y:1996:i:1:p:322-337

DOI: 10.1016/0378-4371(95)00390-8

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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