Columnar domains and anisotropic growth laws in dipolar systems

Columnar domains and anisotropic growth laws in dipolar systems Magnetic and dielectric solids are well-represented by the Ising model with dipolar interactions (IM+DI). The latter are long-ranged, fluctuating in sign, and anisotropic. Equilibrium studies have revealed novel consequences of these complicated interactions, but their effect on nonequilibrium behavior is not explored. We perform a deep temperature quench to study the kinetics of domain growth in the d=3 IM+DI. Our main observations are (i) the emergence of columnar domains along the z axis (Ising axis) with a transient periodicity in the xy plane; (ii) anisotropic growth laws: ℓρ(t)∼tϕ; ℓz(t)∼tψ, where ρ⃗=(x,y) and ℓ is the characteristic length scale; (iii) generalized dynamical scaling for the correlation function: C(ρ,z;t)=g(ρ/ℓρ,z/ℓz); and (iv) an asymptotic Porod tail in the corresponding structure factor: S(kρ,0;t)∼kρ−3; S(0,kz;t)∼kz−2. Our results explain the experimentally observed columnar morphologies in a wide range of dipolar systems, and they have important technological implications. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review E American Physical Society (APS)

Columnar domains and anisotropic growth laws in dipolar systems

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Columnar domains and anisotropic growth laws in dipolar systems

Abstract

Magnetic and dielectric solids are well-represented by the Ising model with dipolar interactions (IM+DI). The latter are long-ranged, fluctuating in sign, and anisotropic. Equilibrium studies have revealed novel consequences of these complicated interactions, but their effect on nonequilibrium behavior is not explored. We perform a deep temperature quench to study the kinetics of domain growth in the d=3 IM+DI. Our main observations are (i) the emergence of columnar domains along the z axis (Ising axis) with a transient periodicity in the xy plane; (ii) anisotropic growth laws: ℓρ(t)∼tϕ; ℓz(t)∼tψ, where ρ⃗=(x,y) and ℓ is the characteristic length scale; (iii) generalized dynamical scaling for the correlation function: C(ρ,z;t)=g(ρ/ℓρ,z/ℓz); and (iv) an asymptotic Porod tail in the corresponding structure factor: S(kρ,0;t)∼kρ−3; S(0,kz;t)∼kz−2. Our results explain the experimentally observed columnar morphologies in a wide range of dipolar systems, and they have important technological implications.
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Publisher
American Physical Society (APS)
Copyright
Copyright © ©2017 American Physical Society
ISSN
1539-3755
eISSN
550-2376
D.O.I.
10.1103/PhysRevE.95.060103
Publisher site
See Article on Publisher Site

Abstract

Magnetic and dielectric solids are well-represented by the Ising model with dipolar interactions (IM+DI). The latter are long-ranged, fluctuating in sign, and anisotropic. Equilibrium studies have revealed novel consequences of these complicated interactions, but their effect on nonequilibrium behavior is not explored. We perform a deep temperature quench to study the kinetics of domain growth in the d=3 IM+DI. Our main observations are (i) the emergence of columnar domains along the z axis (Ising axis) with a transient periodicity in the xy plane; (ii) anisotropic growth laws: ℓρ(t)∼tϕ; ℓz(t)∼tψ, where ρ⃗=(x,y) and ℓ is the characteristic length scale; (iii) generalized dynamical scaling for the correlation function: C(ρ,z;t)=g(ρ/ℓρ,z/ℓz); and (iv) an asymptotic Porod tail in the corresponding structure factor: S(kρ,0;t)∼kρ−3; S(0,kz;t)∼kz−2. Our results explain the experimentally observed columnar morphologies in a wide range of dipolar systems, and they have important technological implications.

Journal

Physical Review EAmerican Physical Society (APS)

Published: Jun 28, 2017

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