Dresden 2017 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 44: Statistical Physics (general)
DY 44.2: Talk
Thursday, March 23, 2017, 10:15–10:30, ZEU 147
Interface propagation in fiber bundles: Local, mean-field and intermediate range-dependent statistics — •Soumyajyoti Biswas1 and Lucas Goehring1,2 — 1Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077 Göttingen, Germany — 2School of Science and Technology, Nottingham Trent University, Clifton Lane, Nottingham, NG 11 8NS, UK
The fiber bundle model is an array of elements that break when sufficient load is applied on them. With a local loading mechanism, this can serve as a model for a one-dimensional interface separating the broken and unbroken parts of a solid in mode-I fracture. The interface can propagate through the system depending on the loading rate and disorder present in the failure thresholds of the fibers. For quasi-static driving, the intermittent dynamics of the interface mimic front propagation in disordered media. Such situations appear in diverse systems such as crack propagation, magnetic domain walls, charge density waves, contact lines in wetting etc. We study the effect of the range of interaction, i.e. the neighborhood affected following a local perturbation, on the statistics of the intermittent dynamics of the front. There exists a crossover from local to global behavior as the range of interaction grows and a continuously varying universality in the intermediate range, implying that the interaction range is a relevant parameter here. This is interesting in view of the scatter in experimentally observed scaling exponents, in even idealized experiments on fracture fronts, and also a possibility in changing the interaction range in real samples.