Effect of Long-Range Interactions in the Conserved Kardar-Parisi-Zhang Equation

Abstract

The conserved Kardar-Parisi-Zhang equation in the presence of long-range nonlinear interactions is studied by the dynamic renormalization group method. The long-range effect produces new fixed points with continuously varying exponents and gives distinct phase transitions, depending on both the long-range interaction strength and the substrate dimension $d$. The long-range interaction makes the surface width less rough than that of the short-range interaction. In particular, the surface becomes a smooth one with a negative roughness exponent at the physical dimension d=2.

4 pages(LaTex), 1 figure(Postscript)

References in corpus (2)

• On Critical Exponents and the Renormalization of the Coupling Constant in Growth Models with Surface Diffusion
• Nonlocality in kinetic roughening

Cited by in corpus (5)

• Dynamic scaling approach to study time series fluctuations
• Dynamical Inequality in Growth Models
• 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