Directed-polymer and ballistic-deposition growth with correlated noise.
Directed-polymer and ballistic-deposition growth with correlated noise.
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DOI：
10.1103/physreva.44.r2239
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发表时间：
1991-08
期刊：
影响因子：
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通讯作者：
Chung-Kang Peng;S. Havlin;Moshe Schwartz;H. Stanley
中科院分区：
文献类型：
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作者：
Chung-Kang Peng;S. Havlin;Moshe Schwartz;H. Stanley
我们提出了远程相关噪声对（i）非线性卡达尔、帕里西和张（KPZ）随机微分方程和定向聚合物（DP）生长的相关问题以及（ii）弹道沉积（BD）模型的影响的数值研究。 KPZ 和 DP 模型的结果彼此一致，并且与 Hentschel 和 Family [Phys.莱特牧师。 66, 1982 (1991)]与其他理论预测相比。与普遍认为 BD 由 KPZ 方程描述的观点相反，我们发现令人惊讶的结果，具有相关噪声的 BD 属于与 KPZ 方程不同的普遍性类别。
We present numerical studies of the effect of long-range correlated noise on (i) the nonlinear Kardar, Parisi, and Zhang (KPZ) stochastic differential equation and the related problem of directed-polymer (DP) growth, and (ii) the ballistic-deposition (BD) model. The results for the KPZ and DP models are consistent with each other, and agree better with one recent theoretical prediction of Hentschel and Family [Phys. Rev. Lett. 66, 1982 (1991)] than with other theoretical predictions. Contrary to the general belief that BD is described by the KPZ equation, we find the surprising result that BD with correlated noise belongs to a different universality class than the KPZ equation.