Fig. 2
From: Length scales and scale-free dynamics of dislocations in dense solid solutions
Roughness of a depinning line. a Rough dislocation line with shape y(x). The direction of the motion is parallel to the y axis. Note that the pinning points are distributed randomly all over the xy plane, in the figure only those are shown that are interacting with the dislocation line. b Roughness R(l) at the depinning transition (F=Fc) with Hurst exponent H. Dashed lines denote the microscopic (e.g., atomic) and macroscopic (e.g., system size) limits, where the scaling breaks down. c Roughness far from the depinning transition (F≠Fc) with two Hurst exponents H1 and H2. d Expected behavior of the correlation length ξ in the vicinity of the depinning transition