{ "id": "1009.3290", "version": "v1", "published": "2010-09-16T21:51:23.000Z", "updated": "2010-09-16T21:51:23.000Z", "title": "Complexity of waves in nonlinear disordered media", "authors": [ "Claudio Conti", "Luca Leuzzi" ], "comment": "20 pages, 11 Figures", "journal": "Phys. Rev. B 83, 134204 (2011)", "doi": "10.1103/PhysRevB.83.134204", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn", "physics.optics" ], "abstract": "The statistical properties of the phases of several modes nonlinearly coupled in a random system are investigated by means of a Hamiltonian model with disordered couplings. The regime in which the modes have a stationary distribution of their energies and the phases are coupled is studied for arbitrary degrees of randomness and energy. The complexity versus temperature and strength of nonlinearity is calculated. A phase diagram is derived in terms of the stored energy and amount of disorder. Implications in random lasing, nonlinear wave propagation and finite temperature Bose-Einstein condensation are discussed.", "revisions": [ { "version": "v1", "updated": "2010-09-16T21:51:23.000Z" } ], "analyses": { "subjects": [ "42.55.Zz", "42.60.Fc", "64.70.P-" ], "keywords": [ "nonlinear disordered media", "complexity", "finite temperature bose-einstein condensation", "nonlinear wave propagation", "random system" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2011, "month": "Apr", "volume": 83, "number": 13, "pages": 134204 }, "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvB..83m4204C" } } }