A Kinetics Driven Commensurate - Incommensurate Transition

Details A Kinetics Driven Commensurate - Incommensurate Transition A Kinetics Driven Commensurate - Incommensurate Transition

2004-03-10

arxiv.org/abs/cond-mat/0403264v1

Phase Tranistions, 77, 691 (2004)

Physics

Condensed Matter

Statistical Mechanics

5 figures, submitted to Phase Transitions

Scientific paper

10.1080/01411590410001690855

The steady state structure of an interface in an Ising system on a square lattice placed in a {\em non-uniform} external field, shows a commensurate -incommensurate transition driven by the velocity of the interface. The non-uniform field has a profile with a fixed shape which is designed to stabilize a flat interface, and is translated with velocity $v_{e}$. For small velocities the interface is stuck to the profile and is rippled with a periodicity which may be either commensurate or incommensurate with the lattice parameter of the square lattice. For a general orientation of the profile, the local slope of the interface locks in to one of infinitely many rational directions producing a devil's staircase structure. These ``lock-in'' or commensurate structures dissappear as $v_e$ increases through a kinetics driven commensurate - incommensurate transition. For large $v_e$ the interface becomes detached from the field profile and coarsens with Kardar-Parisi-Zang exponents. The complete phase-diagram and the multifractal spectrum corresponding to these structures have been obtained numerically together with several analytic results concerning the dynamics of the rippled phases. Our work has technological implications in crystal growth and the production of surfaces with various desired surface morphologies.

Affiliated with

Also associated with

No associations

Rating

A Kinetics Driven Commensurate - Incommensurate Transition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Kinetics Driven Commensurate - Incommensurate Transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Kinetics Driven Commensurate - Incommensurate Transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418093