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Universal behaviour of domain wall meandering.
Kai Sotthewes1, Harold J W Zandvliet
1Physics of Interfaces and Nanomaterials, MESA+ Institute for Nanotechnology, University of Twente, PO Box 217, 7500AE Enschede, The Netherlands.
We derived universal expressions for domain wall meandering in 2D lattices, dependent only on reduced temperature. This allows precise determination of the phase transition temperature (TC) from experimental data.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Domain walls are critical interfaces in magnetic and other systems.
- Understanding their thermal fluctuations (meandering) is key to material properties.
- Previous models often lacked universality or experimental applicability.
Purpose of the Study:
- To derive universal expressions for thermally induced domain wall meandering.
- To establish a method for precise phase transition temperature determination.
- To provide a framework applicable to various 2D lattice symmetries.
Main Methods:
- Derivation of analytical expressions for domain wall meandering.
- Analysis of thermal fluctuations in 2D lattices (square and triangular).
- Focus on isotropic nearest-neighbor interactions.
Main Results:
- Universal expressions for domain wall meandering derived.
- Expressions depend solely on reduced temperature (T/TC).
- Method allows accurate phase transition temperature determination below TC.
Conclusions:
- The derived universal expressions are broadly applicable to 2D systems.
- This work facilitates experimental validation and precise TC determination.
- The approach is extendable to more complex lattice interactions.
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