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Optimal paths and growth processes

Marek Cieplak, Amos Maritan and Jayanth R Banavar

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 291-298

Abstract: Interfaces in systems with strong quenched disorder are fractal and are thus in a different universality class than the self-affine interfaces found in systems with weak quenched disorder. The geometrical properties of strands arising in loopless invasion percolation clusters, in loopless Eden growth clusters, and in the ballistic growth process are studied and their universality classes are identified.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:291-298

DOI: 10.1016/S0378-4371(98)00605-0

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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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