Volume 122, Number 3, May 2018
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||22 June 2018|
Disordered dipolar solids: Anisotropic growth laws and their slowing-down
1 Department of Physics, Indian Institute of Technology Delhi - New Delhi, 110016, India
2 School of Physical Sciences, Jawaharlal Nehru University - New Delhi, 110067, India
Received: 14 February 2018
Accepted: 19 May 2018
We use Monte Carlo simulations to study the kinetics of domain growth in the d = 3 random-field Ising model with dipolar interactions (RFIM+DI). This system models a large class of magnetic and dielectric solids. Our main results are as follows: i) The domains are anisotropic and elongated along the Ising (z) axis. The system exhibits generalized dynamical scaling with two distinct length scales and , where . However, the scaling function is not robust with respect to the disorder Δ. ii) For a fixed value of Δ, the interfaces are fractal with distinct fractal dimensions in the xy-plane and the z-direction. iii) The domain growth laws are also anisotropic, and exhibit distinct power laws on the time-scales of our simulations: and . iv) The exponents and have a simple dependence on Δ. Our results are novel and provide a fresh outlook to interpret experiments in disordered dipolar solids.
PACS: 64.75.Gh – Phase separation and segregation in model systems (hard spheres, Lennard-Jones, etc.) / 75.10.-b – General theory and models of magnetic ordering / 75.40.Mg – Numerical simulation studies
© EPLA, 2018
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