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Related papers: Domain Growth in Random Magnets

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We present results from extensive Monte Carlo (MC) simulations of domain growth in ferromagnets and binary mixtures with quenched disorder. These are modeled by the "random-bond Ising model" and the "dilute Ising model" with either…

Disordered Systems and Neural Networks · Physics 2009-11-11 Raja Paul , Sanjay Puri , Heiko Rieger

We employ Monte Carlo simulations in order to study dynamics of the magnetization and domain growth processes in the random-field Ising models with uniform and Gaussian random field distributions of varying strengths. Domain sizes are…

Statistical Mechanics · Physics 2023-07-19 S. Hrivňak , M. Žukovič

We present comprehensive numerical results for domain growth in the two-dimensional {\it Random Bond Ising Model} (RBIM) with nonconserved Glauber kinetics. We characterize the evolution via the {\it domain growth law}, and two-time…

Statistical Mechanics · Physics 2011-06-02 F. Corberi , E. Lippiello , A. Mukherjee , S. Puri , M. Zannetti

Extensive Monte Carlo simulations are performed on a two-dimensional random field Ising model. The purpose of the present work is to study the disorder-induced changes in the properties of disordered spin systems. The time evolution of the…

Statistical Mechanics · Physics 2013-02-22 Suman Sinha , Pradipta Kumar Mandal

While the kinetics of domain growth, even for conserved order-parameter dynamics, is widely studied for short-range inter-particle interactions, systems having long-range interactions are receiving attention only recently. Here we present…

Statistical Mechanics · Physics 2024-10-18 Soumik Ghosh , Subir K. Das

We study phase ordering kinetics in symmetric and asymmetric binary mixtures, undergoing an order-disorder transition below the critical temperature. Microscopically, we model the kinetics via antiferromagnetic Ising model with Kawasaki…

Statistical Mechanics · Physics 2017-11-09 Prasenjit Das , Tanusri Saha-Dasgupta , Sanjay Puri

We present a comprehensive Monte Carlo study of domain growth in the random-bond XY model with non-conserved kinetics. The presence of quenched disorder slows down domain growth in d = 2; 3. In d = 2, we observe power-law growth with a…

Statistical Mechanics · Physics 2017-10-26 Manoj Kumar , Swarnajit Chatterjee , Raja Paul , Sanjay Puri

We study ground-state properties of the two-dimensional random-bond Ising model with couplings having a concentration $p\in[0,1]$ of antiferromagnetic and $(1-p)$ of ferromagnetic bonds. We apply an exact matching algorithm which enables us…

Disordered Systems and Neural Networks · Physics 2009-11-10 C. Amoruso , A. K. Hartmann

It is known that in systems which contain randomness explicitly in their Hamiltonians (e.g., due to impurities), the characteristic size L of the ordered domains can grow only logarithmically with time t following a quench below the…

Condensed Matter · Physics 2009-10-22 Joel D. Shore , Mark Holzer , James P. Sethna

We use large-scale Monte Carlo simulations to obtain comprehensive results for domain growth and aging in the random field XY model in dimensions $d=2,3$. After a deep quench from the paramagnetic phase, the system orders locally via…

Statistical Mechanics · Physics 2021-10-26 Ramgopal Agrawal , Manoj Kumar , Sanjay Puri

We present a study of dynamical scaling and domain growth in a non potential system that models Rayleigh-Benard convection in a rotating cell. In d=1, dynamical scaling holds, but the non potential terms modify the characteristic growth law…

Statistical Mechanics · Physics 2015-06-25 R. Gallego , M. San Miguel , Raul Toral

We study the dynamics of domain growth when multipole moments of the order parameter are conserved. Following a quench into the ordered phase of the Ising model, the typical size of domains grows with time as $R(t) \sim t^{1/2}$ in the…

Statistical Mechanics · Physics 2026-04-14 Jacopo Gliozzi , Federico Balducci , Giuseppe De Tomasi

We investigate the dynamics of two-dimensional site-diluted Ising antiferromagnets. In an external magnetic field these highly disordered magnetic systems have a domain structure which consists of fractal domains with sizes on a broad range…

Condensed Matter · Physics 2015-06-25 U. Nowak , J. Esser , K. D. Usadel

This paper describes the application of finite-size scaling concepts to domain growth in systems with a non-conserved order parameter. A finite-size scaling ansatz for the time-dependent order parameter distribution function is proposed,…

Condensed Matter · Physics 2009-10-22 Nigel. B. Wilding , Christian Muenkel , Dieter W. Heermann

We quantify the effect of system size in the kinetics of domain growth in Ising model with 50:50 composition in two spatial dimensions. Our estimate of the exponent, $\alpha=0.334\pm0.004$, for the power law growth of linear domain size,…

Statistical Mechanics · Physics 2010-01-25 Suman Majumder , Subir K. Das

Recent advances have highlighted the rich low-temperature kinetics of the long-range Ising model (LRIM). This study investigates domain growth in an LRIM with quenched disorder, following a deep low-temperature quench. Specifically, we…

Statistical Mechanics · Physics 2025-09-16 Ramgopal Agrawal , Federico Corberi , Eugenio Lippiello , Sanjay Puri

After a zero temperature quench, we study the kinetics of the one-dimensional Ising model with long-range interactions between spins at distance $r$ decaying as $r^{-\alpha}$, with $\alpha \le 1$. As shown in our recent study [SciPost Phys…

Statistical Mechanics · Physics 2023-08-09 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Paolo Politi

The concept of Schramm-Loewner evolution provides a unified description of domain boundaries of many lattice spin systems in two dimensions, possibly even including systems with quenched disorder. Here, we study domain walls in the…

Statistical Mechanics · Physics 2015-03-17 Jacob D. Stevenson , Martin Weigel

We report on experimental measurements of the growth of regular domains evolving from an irregular pattern in electroconvection. The late-time growth of the domains is consistent with the size of the domains scaling as $t^n$. We use two…

Soft Condensed Matter · Physics 2009-10-31 Lynne Purvis , Michael Dennin

Dynamics of ordering in Ising model, following quench to zero temperature, have been studied via Glauber spin-flip Monte Carlo simulations in space dimensions $d=2$ and $3$. One of the primary objectives has been to understand phenomena…

Statistical Mechanics · Physics 2016-05-03 Saikat Chakraborty , Subir K. Das
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