Near-Equilibrium Dynamics of Crystalline Interfaces with Long-Range Interactions in 1+1 Dimensional Systems

Abstract

The dynamics of a one-dimensional crystalline interface model with long-range interactions is investigated. In the absence of randomness, the linear response mobility decreases to zero when the temperature approaches the roughening transition from above, in contrast to a finite jump at the critical point in the Kosterlitz-Thouless (KT) transition. In the presence of substrate disorder, there exists a phase transition into a low-temperature pinning phase with a continuously varying dynamic exponent $z>1$. The expressions for the non-linear response mobility of a crystalline interface in both cases are also derived.

14 Pages, Revtex3.0, accepted to be published in Phys. Rev. E Rapid Communication

References in corpus (5)

• Elastic Theory of pinned flux lattices
• Kinetic Roughening in Surfaces of Crystals Growing on Disordered Substrates
• Dynamic and Static Properties of the Randomly Pinned Planar Flux Array
• Glassy Roughness of a Crystalline Surface Upon a Disordered Substrate
• Dynamics of Particle Deposition on a Disordered Substrate: I. Near- Equilibrium Behavior