Coarsening in inhomogeneous systems

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.

arXiv comment13 pages, 5 figures. This paper is a contribution to the special issue "Coarsening dynamics", Comptes Rendus de Physique, https://sites.google.com/site/ppoliti/crp-special-issue

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• Probability distributions with singularities
• Fractal character of the phase ordering kinetics of a diluted ferromagnet
• Low Temperature Domain Wall Freezing and Non-Equilibrium Dynamics in the Transverse-Field Ising Model Material CoNb${}_2$O${}_6$
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• Dynamics of fluctuations in the Gaussian model with conserved dynamics
• Coarsening dynamics at unstable crystal surfaces
• Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration
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• Roughening of an interface in a system with surface or bulk disorder
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