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Dynamics of pinned interfaces with inertia.
1Department of Physics, Faculty of Sciences and Letters, Istanbul Technical University, Maslak 80626, Istanbul, Turkey.
Summary
We enhanced the directed percolation depinning (DPD) model with velocity-dependent pinning, observing a crossover in roughness exponents. This modification alters interface dynamics and scaling behavior in disordered systems.
Area of Science:
- Physics
- Statistical Mechanics
- Complex Systems
Background:
- The directed percolation depinning (DPD) model describes interface dynamics in disordered systems.
- Understanding universality classes is crucial for classifying critical phenomena.
Purpose of the Study:
- To introduce velocity-dependent pinning into DPD models.
- To investigate the impact of this modification on interface roughness and growth exponents.
Main Methods:
- Incorporation of a velocity-dependent enhancement factor (f) into the internal force acting on the interface.
- Analysis of the effective roughness and growth exponents.
- Examination of scaling behavior crossover as a function of the enhancement factor (f).
Main Results:
- A continuous crossover of the effective roughness exponent from the DPD value (0.63) to unity in the non-dissipative limit (f → ∞).
- The growth exponent approaches 3/4 in the non-dissipative limit.
- DPD scaling is recovered above a persistence length that scales with f(ψ), where ψ ≈ 1.3.
Conclusions:
- Velocity-dependent pinning significantly alters the scaling behavior of DPD universality class models.
- The introduced modification leads to a tunable transition in interface dynamics.
- The findings provide new insights into the role of velocity in depinning transitions.