Kardar-Parisi-Zhang equation with spatially correlated noise: A unified picture from nonperturbative renormalization group

被引：34

作者：

Kloss, Thomas ^{[1
]}

Canet, Leonie ^{[2
]}

Delamotte, Bertrand ^{[3
,4
]}

Wschebor, Nicolas ^{[3
,4
,5
]}

机构：

[1] Univ Fed Rio Grande do Norte, Int Inst Phys, BR-59078400 Natal, RN, Brazil

[2] Univ Grenoble 1, CNRS, UMR 5493, LPMMC, F-38042 Grenoble, France

[3] Univ Paris 06, Sorbonne Univ, UMR 7600, LPTMC, F-75005 Paris, France

[4] CNRS, UMR 7600, LPTMC, F-75005 Paris, France

[5] Univ Republica, Fac Ingn, Inst Fis, Montevideo 11000, Uruguay

来源：

PHYSICAL REVIEW E | 2014年 / 89卷 / 02期

关键词：

SURFACE GROWTH; UNIVERSAL FLUCTUATIONS; DIRECTED POLYMERS; INTERFACES; EXPONENTS; DYNAMICS; BURGERS; ENERGY;

D O I：

10.1103/PhysRevE.89.022108

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We investigate the scaling regimes of the Kardar-Parisi-Zhang (KPZ) equation in the presence of spatially correlated noise with power-law decay D(p) similar to p(-2 rho) in Fourier space, using a nonperturbative renormalization group approach. We determine the full phase diagram of the system as a function of. and the dimension d. In addition to the weak-coupling part of the diagram, which agrees with the results from Europhys. Lett. 47, 14 (1999) and Eur. Phys. J. B 9, 491 (1999), we find the two fixed points describing the short-range- (SR) and long-range- (LR) dominated strong-coupling phases. In contrast with a suggestion in the references cited above, we show that, for all values of rho, there exists a unique strong-coupling SR fixed point that can be continuously followed as a function of d. We show in particular that the existence and the behavior of the LR fixed point do not provide any hint for 4 being the upper critical dimension of the KPZ equation with SR noise.

引用

页数：11

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