{ "id": "2012.12698", "version": "v1", "published": "2020-12-23T14:26:41.000Z", "updated": "2020-12-23T14:26:41.000Z", "title": "Cooperative dynamics in the Fiber Bundle Model", "authors": [ "Bikas K. Chakrabarti", "Soumyajyoti Biswas", "Srutarshi Pradhan" ], "comment": "Invited review paper for the Spl. Issue on \"The Fiber Bundle\" in Frontiers in Physics (in Press)", "categories": [ "cond-mat.stat-mech" ], "abstract": "We discuss the cooperative failure dynamics in the Fiber Bundle Model where the individual elements or fibers are Hookean springs, having identical spring constant but different breaking strengths. When the bundle is stressed or strained, especially in the equal-load-sharing scheme, the load supported by the failed fiber gets shared equally by the rest of the surviving fibers. This mean-field type statistical feature (absence of fluctuations) in the load-sharing mechanism helped major analytical developments in the study of breaking dynamics in the model and precise comparisons with simulation results. We intend to present a brief review on these developments.", "revisions": [ { "version": "v1", "updated": "2020-12-23T14:26:41.000Z" } ], "analyses": { "keywords": [ "fiber bundle model", "cooperative dynamics", "mechanism helped major analytical developments", "mean-field type statistical feature", "brief review" ], "tags": [ "review article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }