A solvable model of interface depinning in random media

Details A solvable model of interface depinning in random media A solvable model of interface depinning in random media

2001-10-22

arxiv.org/abs/cond-mat/0110470v1

J. Stat. Phys 105 (2001) 1-23

Physics

Condensed Matter

Statistical Mechanics

24 pages, 6 figures

Scientific paper

We study the mean-field version of a model proposed by Leschhorn to describe the depinning transition of interfaces in random media. We show that evolution equations for the distribution of forces felt by the interface sites can be written down directly for an infinite system. For a flat distribution of random local forces the value of the depinning threshold can be obtained exactly. In the case of parallel dynamics (all unstable sites move simultaneously), due to the discrete character of the allowed interface heights, the motion of the center of mass is non-uniform in time in the moving phase close to the threshold and the mean interface velocity vanishes with a square-root singularity.

Affiliated with

Also associated with

No associations

Rating

A solvable model of interface depinning in random media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A solvable model of interface depinning in random media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A solvable model of interface depinning in random media will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-233137