Jung Y, Park K, Kim HJ, Kim Im
Department of Physics, Korea University, Seoul 136-701, Korea.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Aug;62(2 Pt A):1893-6. doi: 10.1103/physreve.62.1893.
We study an anisotropic nonlocal Kardar-Parisi-Zhang (KPZ) equation with spatially correlated noise by using the dynamic renormalization group method. When the signs of nonlinear terms in parallel and perpendicular directions are opposite, the correlated noise coupled with the long ranged nature of interaction produces a stable non-KPZ fixed point for d<d(c). For the uncorrelated noise, the roughness and dynamic exponents associated with the stable fixed point are different from those of the isotropic nonlocal KPZ equation, while for the correlated noise the exponents are the same as those of the isotropic case.
我们使用动态重整化群方法研究了具有空间相关噪声的各向异性非局部 Kardar-Parisi-Zhang（KPZ）方程。当平行和垂直方向上非线性项的符号相反时，与相互作用的长程性质耦合的相关噪声在 d<d(c) 时产生一个稳定的非 KPZ 不动点。对于不相关噪声，与稳定不动点相关的粗糙度和动力学指数不同于各向同性非局部 KPZ 方程的指数，而对于相关噪声，这些指数与各向同性情况的指数相同。
