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Edwards-Wilkinson depinning transition in random Coulomb potential background
N Valizadeh1, M Samadpour1, H Hamzehpour1
1Department of Physics, K.N. Toosi University of Technology, Tehran 15875-4416, Iran.
Physical Review. E
|January 15, 2022
Summary
This study explores interface growth with long-range correlated noise, revealing a depinning transition. The findings indicate a new universality class distinct from Edwards-Wilkinson and Kardar-Parisi-Zhang models.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Nonlinear Dynamics
Background:
- The Edwards-Wilkinson (EW) and Kardar-Parisi-Zhang (KPZ) models describe interface growth dynamics.
- Understanding how correlated noise affects these dynamics is crucial for various physical systems.
Purpose of the Study:
- To investigate the quenched growth of a 1+1 interface under long-range correlated random noise.
- To identify the universality class of this system and its critical exponents.
Main Methods:
- Simulations of interface growth using a random Coulomb potential for correlated noise.
- Analysis of interface velocity, data collapse, and two-variable scaling.
Main Results:
- A depinning transition was observed at a critical driving force.
- The system exhibits a crossover time for velocity, independent of system size.
- Extracted dynamic (z_w=1.55±0.05) and roughness (α_w=1.05±0.05) exponents differ from known universality classes.
Conclusions:
- The system does not belong to the EW or KPZ universality classes.
- Long-range correlated noise drives the system out of the EW universality class.
- The nonlinearity term approaches zero in the thermodynamic limit on a tilted lattice.
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