Kardar-Parisi-Zhang方程的玻璃态解
凝聚态物理
2009-10-22 v2
摘要
研究表明，KPZ方程强耦合极限的模耦合方程在d>4时存在一个解，使得动力学指数z为2（可能带有对数修正），并且高度关联函数<h(k,w)h^*(k,w)> = (A/k^{d+4-z}) \delta(w/k^z)中存在一个δ函数项，其中振幅A在d趋近于4时趋于零。δ函数项意味着生长表面h(x,t)的某些特征将永久保持，如同玻璃态一样。
引用
@article{arxiv.cond-mat/9407076,
title = {Glassy Solutions of the Kardar-Pasrisi-Zhang Equation},
author = {M. A. Moore and T. Blum J. P. Doherty and M. Marsili and J-P. Bouchaud and P. Claudin},
journal= {arXiv preprint arXiv:cond-mat/9407076},
year = {2009}
}
备注
11 pages, Revtex, 1 figure available upon request (same as figure 1 in ref [10]) Important corrections have been made which yield a much simpler picture of what is happening. We still find "glassy" solutions for d>4 where z is 2 (with possible logarithmic corrections). However, we now find no glassy solutions below d=4. A (linear) stability analysis (for d>4) has been included. Also one Author has been added