{ "id": "cond-mat/0010236", "version": "v2", "published": "2000-10-17T15:25:40.000Z", "updated": "2001-02-08T08:05:16.000Z", "title": "Phase separation in a chaotic flow", "authors": [ "Ludovic Berthier", "Jean-Louis Barrat", "Jorge Kurchan" ], "comment": "Minor changes - Version accepted for publication - Physical Review Letters", "journal": "Phys. Rev. Lett. 86, 2014 (2001)", "doi": "10.1103/PhysRevLett.86.2014", "categories": [ "cond-mat.stat-mech" ], "abstract": "The phase separation between two immiscible liquids advected by a bidimensional velocity field is investigated numerically by solving the corresponding Cahn-Hilliard equation. We study how the spinodal decomposition process depends on the presence -or absence- of Lagrangian chaos. A fully chaotic flow, in particular, limits the growth of domains and for unequal volume fractions of the liquids, a characteristic exponential distribution of droplet sizes is obtained. The limiting domain size results from a balance between chaotic mixing and spinodal decomposition, measured in terms of Lyapunov exponent and diffusivity constant, respectively.", "revisions": [ { "version": "v2", "updated": "2001-02-08T08:05:16.000Z" } ], "analyses": { "keywords": [ "phase separation", "spinodal decomposition process depends", "characteristic exponential distribution", "unequal volume fractions", "bidimensional velocity field" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }