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

Abstract

The effects of spatially correlated noise on a phenomenological equation equivalent to a non-local version of the Kardar-Parisi-Zhang 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.

Plain Latex, 10 pages, 2 figures in one ps file

References in corpus (3)

• Kolmogorov turbulence in a random-force-driven Burgers equation
• Kolmogorov turbulence in a random-force-driven Burgers equation: anomalous scaling and probability density functions
• Nonlocality in kinetic roughening

Cited by in corpus (7)

• New Results for the Nonlocal Kardar-Parisi-Zhang Equation
• Interface roughening in nonequilibrium phase-separated systems
• Dynamical Inequality in Growth Models
• Exponent Inequalities in Dynamical Systems
• Exact Result for the Nonlocal Conserved Kardar-Parisi-Zhang Equation
• Non-universal finite size scaling of rough surfaces
• Fixing the fixed-point system - Applying Dynamic Renormalization Group to systems with long-range interactions