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Kinetics of ferromagnetic ordering in 3D Ising model: how far do we understand the case of a zero temperature quench?

2016/09/29 by Subir K. Das, Saikat Chakraborty · 10 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Ferromagnetism #Glauber #Ising model #Lattice (music) #Materials science #Mathematics #Monte Carlo method #Opinion Dynamics and Social Influence #Phase transition #Physics #Quantum many-body systems #Quantum mechanics #Scaling #Statistical physics #Theoretical and Computational Physics #Zero temperature #cond-mat.stat-mech #k-nearest neighbors algorithm

paper · pdf · doi:10.1140/epjst/e2016-60313-6

published in The European Physical Journal Special Topics 226(4), 765-777 (Springer Science+Business Media)

arxiv created 2016/09/29 · openalex created_date 2016/10/07 · openalex publication_date 2017/04/01 · arxiv updated 2017/04/26 · openalex updated_date 2026/08/05

Abstract

We study phase ordering dynamics in the three-dimensional nearest-neighbor Ising model, following rapid quenches from infinite to zero temperature. Results on various aspects, viz., domain growth, persistence, aging and pattern, have been obtained via the Glauber Monte Carlo simulations of the model on simple cubic lattice. These are analyzed via state-of-the-art methods, including the finite-size scaling, and compared with those for quenches to a temperature above the roughening transition. Each of these properties exhibit remarkably different behavior at the above mentioned final temperatures. Such a temperature dependence is absent in the two-dimensional case for which there is no roughening transition.

Citations