Coarsening in inhomogeneous systems

@article{Corberi2015CoarseningII,
  title={Coarsening in inhomogeneous systems},
  author={Federico Corberi},
  journal={Comptes Rendus Physique},
  year={2015},
  volume={16},
  pages={332-342}
}
  • F. Corberi
  • Published 1 April 2015
  • Physics
  • Comptes Rendus Physique
Abstract This article is a brief review of coarsening phenomena occurring in systems where quenched features—such as random field, varying coupling constants or lattice vacancies—spoil homogeneity. We discuss the current understanding of the problem in ferromagnetic systems with a non-conserved scalar order parameter by focusing primarily on the form of the growth law of the ordered domains and on the scaling properties. 

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References

SHOWING 1-10 OF 90 REFERENCES
Domain growth in weakly disordered magnets
We present results from extensive numerical simulations of phase ordering dynamics in a mean-field dynamical model of weakly disordered random magnets. We apply a stringent test of dynamical scalingExpand
Domain growth in random magnets
We study the kinetics of domain growth in ferromagnets with random exchange interactions. We present detailed Monte Carlo results for the nonconserved random-bond Ising model, which are consistentExpand
Characterization of kinetic coarsening in a random-field Ising model.
  • P. Mandal, S. Sinha
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2014
TLDR
A simple generalized scaling relation of coarsening supported by numerical results is provided and corroborates the recent observation that the average linear domain size satisfies different scaling behavior in different time regimes. Expand
Non-algebraic domain growth for phase ordering dynamics in a random field
Discusses the three-stage numerical exposition of the effects of quenched disorder on phase ordering dynamics. The authors study the effects of random fields on domain growth. The numerical resultsExpand
Scaling behavior of response functions in the coarsening dynamics of disordered ferromagnets
We study coarsening dynamics in the ferromagnetic random bond Ising model in d=1, 2. We focus on the validity of super-universality and the scaling properties of the response functions. In the d=1Expand
Geometric properties of two-dimensional coarsening with weak disorder
The domain morphology of weakly disordered ferromagnets, quenched from the high-temperature phase to the low-temperature phase, is studied using numerical simulations. We find that the geometricalExpand
Scaling in the aging dynamics of the site-diluted Ising model.
TLDR
Numerically the phase-ordering kinetics of the two-dimensional site-diluted Ising model is studied, finding a rich scaling behavior, with an interesting crossover due to the competition between fixed points, and violation of superuniversality. Expand
Non-algebraic domain growth in binary alloys with quenched disorder
The authors present detailed numerical results from a computationally efficient cell dynamical system model of domain growth in binary alloys with quenched disorder. Their numerical results suggestExpand
Non-algebraic domain growth in random magnets: a cell dynamical approach
The authors develop a novel numerical approach, based on a computationally efficient cell dynamical system (CDS) model, for studying the kinetics of ordering in systems (described by a non-conservedExpand
Topics in coarsening phenomena
These lecture notes give a very short introduction to coarsening phenomena and summarize some recent results in the field. They focus on three aspects: the super-universality hypothesis, the geometryExpand
...
1
2
3
4
5
...