Depinning transition of the quenched Edwards-Wilkinson equation

초록

We study the pinning-depinning transition of the Edwards-Wilkinson equation with quenched noise. We introduce a discrete growth model following the equation and determine various critical exponents related to the depinning transition. We find roughness exponent alpha approximate to 1.25, growth exponent beta approximate to 0.871, and dynamic exponent z approximate to 1.436. At the critical force, the velocity v of the averaged height follows a power law v similar to t(-delta) with delta approximate to 0.128. The finite size scaling of the average velocity is discussed.