Surface growth of binary Eden model at percolation threshold concentration

Abstract

We extend the Eden model to the binary system of two kinds of sites with different noise reduction parameters n and m (⩾n) . The new model called binary Eden model connects the original Eden model ( n= m=1) to the percolation model ( n=1 and m=∞). From our numerical simulation on a square lattice of a lattice edge width L, the surface width W( L, m) is found to satisfy the scaling relation at the percolation threshold concentration. Moreover, the surface length s( L, m) is also found to obey the same type scaling relation.