# 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} }

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.

#### 15 Citations

Coarsening and percolation in the Ising Model with quenched disorder

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Through large-scale numerical simulations, we study the phase ordering kinetics of the $2d$ Ising Model after a zero-temperature quench from a high-temperature homogeneous initial condition.… Expand

Roughening of an interface in a system with surface or bulk disorder

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We study numerically the roughening properties of an interface in a two-dimensional Ising model with either random bonds or random fields, which are representative of universality classes where… Expand

Phase ordering in 3d disordered systems

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We study numerically the phase-ordering kinetics of the site-diluted and bond-diluted Ising models after a quench from an infinite to a low temperature. We show that the speed of growth of the… Expand

Coarsening versus pattern formation

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It is known that similar physical systems can reveal two quite different ways of behavior, either coarsening, which creates a uniform state or a large-scale structure, or formation of ordered or… Expand

Fractal character of the phase ordering kinetics of a diluted ferromagnet

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- Journal of Statistical Mechanics: Theory and Experiment
- 2019

We study numerically the coarsening kinetics of a two-dimensional ferromagnetic system with aleatory bond dilution. We show that interfaces between domains of opposite magnetisation are fractal on… Expand

Coarsening dynamics at unstable crystal surfaces

- Materials Science, Physics
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Abstract In this paper we focus on crystal surfaces led out of equilibrium by a growth or erosion process. As a consequence of that, the surface may undergo morphological instabilities and develop a… Expand

Probability Distributions with Singularities

- Physics, Medicine
- Entropy
- 2019

This paper discusses the underlying mathematical mechanism producing the singularity and other topics such as the condensation of fluctuations, the relationships with ordinary phase-transitions, the giant response associated to anomalous fluctuations, and the interplay with fluctuation relations. Expand

One Dimensional Phase-Ordering in the Ising Model with Space Decaying Interactions

- Physics, Mathematics
- Journal of Statistical Physics
- 2019

The study of the phase ordering kinetics of the ferromagnetic one-dimensional Ising model dates back to 1963 (R. J. Glauber, J. Math. Phys. 4, 294) for non conserved order parameter (NCOP) and to… Expand

Anomalous phase separation and hidden coarsening of super-clusters in the Falicov-Kimball model

- Computer Science
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- 2021

It is shown that the celebrated Falicov-Kimball model exhibits rich and intriguing phase-ordering dynamics, and an unusual phase-separation scenario in which the growth of charge checkerboard clusters competes with domain coarsening related to a hidden symmetry-breaking is uncovered. Expand

Anomalous phase separation dynamics in a correlated electron system: machine-learning enabled large-scale kinetic Monte Carlo simulations

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This work demonstrates the first-ever large-scale kinetic Monte Carlo simulations of the phase separation process for the Falicov-Kimball model, which is one of the canonical strongly correlated electron systems and shows that the emergence of super-clusters is due to a hidden dynamical breaking of the sublattice symmetry. Expand

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