Depinning transition of the Mullins-Herring equation with an external driving force and quenched random disorder.
We study the depinning transition of the quenched Mullins-Herring equation by direct integration method. At critical force Fc, the average surface velocity v(t) follows a power-law behavior v(t) approximately t-delta as a function of time t with delta=0.160(5). The surface width has a scaling behavior with the roughness exponent alpha=1.50(6) and the growth exponent beta=0.841(5). Above the critical force, the steady state velocity v2 follows vs approximately (F - Fc)theta with theta=0.289(8). Finite size scalings of the velocity are also discussed.
Lee
Changhan
C
Department of Physics and Computer Aided Molecular Design Research Center, Soongsil University, Seoul 156-743, Korea.
Kim
Jin Min
JM