The Non-local Kardar-Parisi-Zhang Equation With Spatially Correlated Noise

نویسنده

  • Amit Kr. Chattopadhyay
چکیده

The effects of spatially correlated noise on a phenomenological equation equivalent to a non-local version of the Kardar-Parisi-Zhang (KPZ) equation are studied via the dynamic renormalization group (DRG) techniques. The correlated noise coupled with the long ranged nature of interactions prove the existence of different phases in different regimes, giving rise to a range of roughness exponents defined by their corresponding critical dimensions. Finally self-consistent mode analysis is employed to compare the non-KPZ exponents obtained as a result of the long range-long range interactions with the DRG results. 05.40.+j,05.70.Ln,64.60.Ht,68.35.Fx

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exact results for the Kardar–Parisi–Zhang equation with spatially correlated noise

We investigate the Kardar–Parisi–Zhang (KPZ) equation in d spatial dimensions with Gaussian spatially long–range correlated noise — characterized by its second moment R(x−x) ∝ |x−x| — by means of dynamic field theory and the renormalization group. Using a stochastic Cole–Hopf transformation we derive exact exponents and scaling functions for the roughening transition and the smooth phase above ...

متن کامل

Renormalization group analysis of the anisotropic Kardar-Parisi-Zhang equation with spatially correlated noise.

We analyze the anisotropic Kardar-Parisi-Zhang equation in general substrate dimensions d′ with spatially correlated noise, 〈η̃(k, ω)〉 = 0 and 〈η̃(k, ω)η̃(k′, ω′)〉 = 2D(k)δd′ (k+k′)δ(ω+ω′) where D(k) = D0+Dρk, using the dynamic renormalization group (RG) method. When the signs of the nonlinear terms in parallel and perpendicular directions are opposite, a novel finite stable fixed point is found f...

متن کامل

Minimum action method for the Kardar-Parisi-Zhang equation.

We apply a numerical minimum action method derived from the Wentzell-Freidlin theory of large deviations to the Kardar-Parisi-Zhang equation for the height profile of a growing interface. In one dimension we find that the transition pathway between different height configurations is determined by the nucleation and subsequent propagation of facets or steps, corresponding to moving domain walls ...

متن کامل

Exact results for the Kardar { Parisi { Zhang equation with spatiallycorrelated

Dedicated to Franz Schwabl on the occasion of his 60th birthday. Abstract. We investigate the Kardar{Parisi{Zhang (KPZ) equation in d spatial dimensions with Gaussian spatially long{range correlated noise | characterized by its second moment R(x ?x 0) / jx?x 0 j 2?d | by means of dynamic eld theory and the renormalization group. Using a stochastic Cole{Hopf transformation we derive exact expone...

متن کامل

Localized growth modes, dynamic textures, and upper critical dimension for the Kardar-Parisi-Zhang equation in the weak-noise limit.

A weak-noise scheme is applied to the Kardar-Parisi-Zhang equation for a growing interface in all dimensions. It is shown that the solutions can be interpreted in terms of a growth morphology of a dynamically evolving texture of localized growth modes with superimposed diffusive modes. By applying Derrick's theorem, it is conjectured that the upper critical dimension is four.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999