Category: Physics

Summary: Measuring critical-force distributions and roughness at the depinning transition of a one-dimensional elastic interface in quenched disorder.

Driven elastic interfaces move through disordered media only after the applied force exceeds a pinning threshold. This experiment studies that transition for a one-dimensional elastic line, asking not just for the mean critical force but for the full distribution of threshold values across disorder realizations.

The simulation uses quasi-static driving: the force is increased until the interface jumps, and the resulting depinning events are recorded across system sizes. In parallel it estimates the roughness exponent and avalanche statistics at threshold.

That broader view matters because universal behavior may show up in the shape of the critical-force distribution, not only in its average. The experiment therefore connects depinning theory to a more detailed finite-size picture of threshold variability.

Method: Quasi-static simulations of a disordered elastic line, measuring depinning thresholds, roughness scaling, and avalanche statistics across sizes.

What is measured: Critical-force distribution, mean critical force versus size, roughness exponent, and avalanche size distribution.