Profile driven interfaces in 1 + 1 dimensions : periodic steady states, dynamical melting and detachment

Details Profile driven interfaces in 1 + 1 dimensions : periodic steady states, dynamical melting and detachment Profile driven interfaces in 1 + 1 dimensions : periodic steady states, dynamical melting and detachment

2002-07-05

arxiv.org/abs/cond-mat/0207150v1

Physica A: Statistical Mechanics and its Applications Volume 318, Issues 1-2, 1 February 2003, Pages 30-39

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 6 figures, To appear in Physica A as conference proceedings of Statphys - Kolkata IV

Scientific paper

10.1016/S0378-4371(02)01399-7

We study the steady state structure and dynamics of a 2-d Ising interface placed in an inhomogeneous external field with a sigmoidal profile which moves with velocity $v_{e}$. In the strong coupling limit the problem maps onto an assymmetric exclusion process involving motion of particles in 1-d with position dependent right and left jump probabilities. For small $v_{e}$, the interface is stuck to the field profile. As $v_{e}$ increases the profile detaches from the interface. At the transition point(and beyond), the interfacial structure and dynamics is characterized by KPZ exponents. For small $v_{e}$, on the other hand, the interface is macroscopically smooth with a vanishing roughness exponent $\alpha$. The interfacial structure is periodic with a periodicity which depends on the orientation of the interface. For a fixed orientation this periodic structure ``melts'' as $v_e$ is increased. We determine the dynamical ``phase - diagram'' of this system in the $v_e$ - orientation plane.

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