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Soliton and 2D Domains in Ultrathin Magnetic Films

1996/12/23 by S. T. Chui, V. N. Ryzhov
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Domain (mathematical analysis) #Magnetic Properties and Applications #Magnetic field #Magnetic properties of thin films #Magnetization #Mathematical analysis #Mathematics #Micromagnetics #Monte Carlo method #Nonlinear system #Physics #Quantum mechanics #Soliton #Statistical physics #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech #sine-Gordon equation

paper · pdf · doi:10.1103/physrevlett.78.2224

9 pages, 3 PostScript figures

arxiv created 1996/12/23 · openalex publication_date 1997/03/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that many two dimensional domain patterns observed in Monte Carlo simulations can be obtained from the many soliton solutions of the imaginary time sine Gordon equation. This opens the door to analytic quantitative understanding of the micromagnetics in ultrathin films.

Citations