Lee Changhan, Lee Sang Bub
Department of Physics, Kyungpook National University, Daegu 702-701, Republic of Korea.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 1):021134. doi: 10.1103/PhysRevE.80.021134. Epub 2009 Aug 28.
An influence of diluted sites on surface growth has been investigated, using the restricted solid-on-solid model. It was found that, with respect to equilibrium growth, the surface width and the saturated width exhibited universal power-law behaviors, i.e., W approximately t(beta) and W(sat) approximately L(zeta), regarding all cases with respect to the concentration of diluted sites x=1-p , with p being the occupation probability on each lattice site. For x < x(c) (=1-p(c), p(c) being the percolation threshold), the growth appeared to be similar to that of a regular lattice, both in two and three dimensions. For x=x(c), the growth yielded nontrivial exponents which were different from those on a regular lattice. In nonequilibrium growth, a considerable amount of diluted sites (x < or = x(c)) appeared to yield nonuniversal growth, unlike the case of a regular lattice. The cause of nonuniversal growth dynamics has been investigated, considering the growth on a backbone cluster and on lattices constructed with periodically and randomly diluted subcells.
利用受限固-固模型研究了稀释位点对表面生长的影响。研究发现，对于平衡生长，表面宽度和饱和宽度呈现出普遍的幂律行为，即对于所有稀释位点浓度(x = 1 - p)（(p)为每个晶格位点的占据概率）的情况，(W)近似为(t^{\beta})，(W_{sat})近似为(L^{\zeta})。对于(x < x_c)（(= 1 - p_c)，(p_c)为渗流阈值），在二维和三维中，生长似乎类似于规则晶格的生长。对于(x = x_c)，生长产生了与规则晶格不同的非平凡指数。在非平衡生长中，与规则晶格的情况不同，相当数量的稀释位点（(x \leq x_c)）似乎产生非普适生长。考虑了在主链簇以及由周期性和随机稀释的子单元构成的晶格上的生长，研究了非普适生长动力学的原因。
