Extended Self-similarity in Kinetic Surface Roughening

Details Extended Self-similarity in Kinetic Surface Roughening Extended Self-similarity in Kinetic Surface Roughening

1997-08-28

arxiv.org/abs/cond-mat/9708219v2

Phys. Rev. E 57, R3703 (1998)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 postscript figures included (some changes made according to referees' comments. accepted for publication in PRE Rap

Scientific paper

10.1103/PhysRevE.57.R3703

We show from numerical simulations that a limited mobility solid-on-solid model of kinetically rough surface growth exhibits extended self-similarity analogous to that found in fluid turbulence. The range over which scale-independent power-law behavior is observed is significantly enhanced if two correlation functions of different order, such as those representing two different moments of the difference in height between two points, are plotted against each other. This behavior, found in both one and two dimensions, suggests that the `relative' exponents may be more fundamental than the `absolute' ones.

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