A kinetics driven commensurate- incommensurate transition

Chaudhuri, Abhishek ; Sreeram, P. A. ; Sengupta, Surajit (2004) A kinetics driven commensurate- incommensurate transition Phase Transitions: A Multinational Journal, 77 (8-10). pp. 691-701. ISSN 0141-1594

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Related URL: http://dx.doi.org/10.1080/01411590410001690855


We study the steady-state structure of an interface in an Ising system on a square lattice with a nonuniform external field. This structure exhibits a commensurate-incommensurate transition driven by the velocity of the interface. The nonuniform field has a profile with a fixed shape which is designed to stabilize a flat interface, and is translated with velocity v. 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 into one of infinitely many rational directions, producing a devil's staircase structure. These "lock-in" or commensurate structures disappear as v increases through a kinetics driven commensurate-incommensurate transition. For large v, the interface becomes detached from the field profile and coarsens with Kardar-Parisi-Zhang (KPZ) 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 desired surface morphologies.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Commensurate-incommensurate Transition; Moving Interface; Devil's Staircase; Multifractal Spectrum
ID Code:56558
Deposited On:24 Aug 2011 11:07
Last Modified:18 May 2016 08:19

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