Disordered dipolar solids: Anisotropic growth laws and their slowing-down

Arunkumar Bupathy; Varsha Banerjee; Sanjay Puri

doi:10.1209/0295-5075/122/36002

All issues

Volume 122 / No 3 (May 2018)

EPL, 122 3 (2018) 36002

Abstract

Issue		EPL Volume 122, Number 3, May 2018


Article Number		36002
Number of page(s)		6
Section		Condensed Matter: Structural, Mechanical and Thermal Properties
DOI		https://doi.org/10.1209/0295-5075/122/36002
Published online		22 June 2018

EPL, 122 (2018) 36002

Disordered dipolar solids: Anisotropic growth laws and their slowing-down

Arunkumar Bupathy¹, Varsha Banerjee¹ and Sanjay Puri²

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

Abstract

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 $\ell_\rho$ and $\ell_z$ , where $\rho = (x,y)$ . 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: $\ell_\rho(t) \sim t^{\phi(\Delta)}$ and $\ell_z(t) \sim t^{\psi(\Delta)}$ . iv) The exponents $\phi(\Delta)$ and $\psi(\Delta)$ 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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