Article Dans Une Revue Journal of Physics A: Mathematical and General (1975 - 2006) Année : 1985

Scaling properties of the surface of the Eden model in d=2, 3, 4

Résumé

The surface of the Eden model is investigated numerically by finite-size scaling, using a strip geometry. Three different versions are studied and it shows that the one mostly used previously exhibits strong finite-size corrections. In two dimensions it is found that the surface thickness simply grows as the square root of the width of the strip for infinitely long strips. This result, as well as the results in d=3 and d=4, suggest that the surface of the Eden shares some properties with the equilibrium models used to describe the roughening transition. Moreover, it is found that the surface thickness scales differently with the height of the cluster for infinitely large strips.

Dates et versions

hal-04900004 , version 1 (20-01-2025)

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R. Jullien, R. Botet. Scaling properties of the surface of the Eden model in d=2, 3, 4. Journal of Physics A: Mathematical and General (1975 - 2006), 1985, 18 (12), pp.2279-2287. ⟨10.1088/0305-4470/18/12/026⟩. ⟨hal-04900004⟩
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