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Dimensional crossover and universal roughness distributions in Barkhausen noise
1Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro, Rio de Janeiro, Brazil. sldq@if.ufrj.br
Summary
This study explores how changing system dimensions affects avalanche scaling in disordered magnets, crucial for understanding Barkhausen noise. Results show dimension changes significantly alter avalanche behavior and interface roughness.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Materials Science
Background:
- Barkhausen noise in disordered magnets arises from domain-wall jumps.
- Scaling properties of these avalanches are critical for understanding magnetic phenomena.
- Dimensionality is a key factor influencing system behavior.
Purpose of the Study:
- Investigate the dimensional crossover of avalanche scaling properties.
- Analyze the impact of system geometry on Barkhausen noise.
- Examine interface roughness distributions in different dimensionalities.
Main Methods:
- Utilized a single-interface model for simulations.
- Varied the transverse aspect ratio (A=Ly/Lx) to change system dimensionality from 2D to 3D.
- Analyzed avalanche size distributions and interface roughness probability distributions.
Main Results:
- Perturbing from 2D dimensionality is a relevant field.
- The avalanche exponent (tau) varies from 1.06(1) in 2D to 1.275(15) in 3D.
- A crossover function with phi=0.95(3) describes the dimensional transition.
- Interface roughness distributions suggest alpha approximately 1-1.1 for 1/f noise in both 2D and 3D.
Conclusions:
- Dimensional crossover significantly impacts Barkhausen noise scaling.
- Results are relevant for interpreting thin-film magnetic measurements.
- The study provides insights into universality classes of noise phenomena.