Super-roughening as a disorder-dominated flat phase
arXiv:cond-mat/0307357 · doi:10.1209/epl/i2004-10021-1
Abstract
We study the phenomenon of super-roughening found on surfaces growing on disordered substrates. We consider a one-dimensional version of the problem for which the pure, ordered model exhibits a roughening phase transition. Extensive numerical simulations combined with analytical approximations indicate that super-roughening is a regime of asymptotically flat surfaces with non-trivial, rough short-scale features arising from the competition between surface tension and disorder. Based on this evidence and on previous simulations of the two-dimensional Random sine-Gordon model [Sanchez et al., Phys. Rev. E 62, 3219 (2000)], we argue that this scenario is general and explains equally well the hitherto poorly understood two-dimensional case.
arXiv comment7 pages, 4 figures. Accepted for publication in Europhysics Letters
References in corpus (14)
- Extended Ensemble Monte Carlo
- General non-existence theorem for phase transitions in one-dimensional systems with short range interactions, and physical examples of such transitions
- Ground-State Roughness of the Disordered Substrate and Flux Line in d=2
- Dynamic and Static Properties of the Randomly Pinned Planar Flux Array
- Ground state properties of solid-on-solid models with disordered substrates
- How (Super) Rough is the Glassy Phase of a Crystalline Surface with a Disordered Substrate?
- Comment on: Dynamic and Static Properties of the Randomly Pinned Flux Array
- A theorem on the absence of phase transitions in one-dimensional growth models with onsite periodic potentials
- Apparent phase transitions in finite one-dimensional sine-Gordon lattices
- Ground state properties of fluxlines in a disordered environment
- Using network-flow techniques to solve an optimization problem from surface-physics
- Numerical Simulations of the Random Phase Sine Gordon Model
- Roughening and superroughening in the ordered and random two-dimensional sine-Gordon models
- New evidence for super-roughening in crystalline surfaces with disordered substrate