Coarse-graining a restricted solid-on-solid model

Details Coarse-graining a restricted solid-on-solid model Coarse-graining a restricted solid-on-solid model

2006-03-28

arxiv.org/abs/cond-mat/0603765v1

Phys. Rev. E 73, 041605 (2006)

Physics

Condensed Matter

Statistical Mechanics

Accepted for pubication in PRE

Scientific paper

10.1103/PhysRevE.73.041605

A procedure suggested by Vvedensky for obtaining continuum equations as the coarse-grained limit of discrete models is applied to the restricted solid-on-solid model with both adsorption and desorption. Using an expansion of the master equation, discrete Langevin equations are derived; these agree quantitatively with direct simulation of the model. From these, a continuum differential equation is derived, and the model is found to exhibit either Edwards-Wilkinson or Kardar-Parisi-Zhang exponents, as expected from symmetry arguments. The coefficients of the resulting continuum equation remain well-defined in the coarse-grained limit.

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