Thursday, March 15, 2012

1004.2725 (Carlos Escudero et al.)

Origins of scaling relations in nonequilibrium growth    [PDF]

Carlos Escudero, Elka Korutcheva
Scaling and hyperscaling laws provide exact relations among critical exponents describing the behavior of a system at criticality. For nonequilibrium growth models with a conserved drift there exist few of them. One such relation is $\alpha +z=4$, found to be inexact in a renormalization group calculation for several classical models in this field. Herein we focus on the two-dimensional case and show that it is possible to construct conserved surface growth equations for which the relation $\alpha +z=4$ is exact in the renormalization group sense. We explain the presence of this scaling law in terms of the existence of geometric principles dominating the dynamics.
View original: http://arxiv.org/abs/1004.2725

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