Random field Ising model with conserved kinetics: Super-universality violation, logarithmic growth law and the generalized Tomita sum rule
1 Department of Physics, Indian Institute of Technology - Hauz Khas, New Delhi - 110016, India
2 School of Physical Sciences, Jawaharlal Nehru University - New Delhi - 110067, India
Received: 1 December 2016
Accepted: 2 February 2017
We perform comprehensive Monte Carlo (MC) simulations to study ordering dynamics in the random field Ising model with conserved order parameter (C-RFIM) in . The observations from this study are: a) For a fixed value of the disorder Δ, the correlation function exhibits dynamical scaling. b) The scaling function is not robust with respect to Δ, i.e., super-universality (SU) is violated by . c) At early times, the domains follow the algebraic growth with a disorder-dependent exponent: . At late times, there is a crossover to logarithmic growth: , where φ is a disorder-independent exponent. d) The small-r behavior of the correlation function exhibits a cusp singularity: , where α is the cusp exponent signifying rough fractal interfaces. e) The corresponding structure factor exhibits a non-Porod tail: , and obeys a generalized Tomita sum rule , where f(p) is the appropriate scaling function, and is a constant.
PACS: 05.65.+b – Self-organized systems / 75.60.Ch – Domain walls and domain structure / 47.56.+r – Flows through porous media
© EPLA, 2017