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Ordering dynamics of one-dimensional Bloch wall system and domain size distribution function.
1Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Japan. tutu@i.kyoto-u.ac.jp
Summary
Domain size distribution in a 1D anisotropic XY model differs based on wall type. Bloch walls exhibit soliton-like motion, while Néel walls show scaling behavior, impacting ordering dynamics.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
Background:
- The ordering process in magnetic systems involves domain dynamics.
- Domain wall structures (Néel and Bloch) influence system behavior.
- Understanding domain size distribution is crucial for characterizing ordering kinetics.
Purpose of the Study:
- To investigate the dynamics of domain size distribution in a 1D classical anisotropic XY model.
- To differentiate the ordering behavior associated with Néel and Bloch domain walls.
- To analyze the underlying mechanisms driving domain size evolution.
Main Methods:
- Reduced equation of motion for domain size assembly.
- Analysis of domain wall interactions (attractive/repulsive) based on chirality.
- Mathematical characterization of domain size distributions.
Main Results:
- Néel walls exhibit attractive interactions, leading to a scaling-type domain size distribution.
- Bloch walls display chirality-dependent interactions (attractive or repulsive).
- Bloch walls demonstrate soliton-like translational motion in domain size distribution, unlike scaling behavior.
Conclusions:
- The type of domain wall structure significantly alters the domain size distribution dynamics.
- Soliton-like motion in Bloch walls contrasts with scaling behavior in Néel walls, offering distinct ordering mechanisms.
- The study provides insights into the fundamental physics governing domain evolution in anisotropic magnetic systems.