{ "id": "2011.06256", "version": "v1", "published": "2020-11-12T08:24:42.000Z", "updated": "2020-11-12T08:24:42.000Z", "title": "Long-range phase order in two dimensions under shear flow", "authors": [ "Hiroyoshi Nakano", "Yuki Minami", "Shin-ichi Sasa" ], "comment": "20 pages, 14 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "We theoretically and numerically investigate a two-dimensional O(2) model where an order parameter is convected by shear flow. We show that a long-range phase order emerges in two dimensions as a result of anomalous suppression of phase fluctuations by the shear flow. Furthermore, we use the finite-size scaling theory to demonstrate that a phase transition to the long-range ordered state from the disordered state is second order. At a transition point far from equilibrium, the critical exponents turn out to be close to the mean-field value for equilibrium systems.", "revisions": [ { "version": "v1", "updated": "2020-11-12T08:24:42.000Z" } ], "analyses": { "keywords": [ "shear flow", "dimensions", "long-range phase order emerges", "transition point far", "order parameter" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }