{ "id": "1004.2149", "version": "v2", "published": "2010-04-13T11:26:01.000Z", "updated": "2011-08-09T13:27:41.000Z", "title": "Noise-induced volatility of collective dynamics", "authors": [ "Georges Harras", "Claudio J. Tessone", "Didier Sornette" ], "doi": "10.1103/PhysRevE.85.011150", "categories": [ "cond-mat.stat-mech", "nlin.AO", "physics.soc-ph", "q-bio.OT" ], "abstract": "\"Noise-induced volatility\" refers to a phenomenon of increased level of fluctuations in the collective dynamics of bistable units in the presence of a rapidly varying external signal, and intermediate noise levels. The archetypical signature of this phenomenon is that --beyond the increase in the level of fluctuations-- the response of the system becomes uncorrelated with the external driving force, making it different from stochastic resonance. Numerical simulations and an analytical theory of a stochastic dynamical version of the Ising model on regular and random networks demonstrate the ubiquity and robustness of this phenomenon, which is argued to be a possible cause of excess volatility in financial markets, of enhanced effective temperatures in a variety of out-of-equilibrium systems and of strong selective responses of immune systems of complex biological organisms. Extensive numerical simulations are compared with a mean-field theory for different network topologies.", "revisions": [ { "version": "v2", "updated": "2011-08-09T13:27:41.000Z" } ], "analyses": { "keywords": [ "collective dynamics", "noise-induced volatility", "phenomenon", "intermediate noise levels", "random networks demonstrate" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1004.2149H" } } }