{ "id": "2104.06764", "version": "v1", "published": "2021-04-14T10:44:02.000Z", "updated": "2021-04-14T10:44:02.000Z", "title": "Universal properties of active membranes", "authors": [ "Francesco Cagnetta", "Viktor Skultety", "Martin R. Evans", "Davide Marenduzzo" ], "comment": "5 pages, 3 figures", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "We put forward a general field theory for membranes with embedded activators and analyse their critical properties using renormalization group techniques. Depending on the membrane-activator coupling, we find a crossover between acoustic and diffusive scaling regimes, with mean-field dynamical critical exponents z = 1 and 2 respectively. We argue that the acoustic scaling, which is exact in all spatial dimensions, is a suitable candidate for the universal description of the spatiotemporal patterns observed at the leading edge of motile cells. Furthermore, one-loop corrections to the diffusive mean-field exponents reveal universal behaviour distinct from the Kardar-Parisi-Zhang scaling of passive interfaces and signs of strong-coupling behaviour.", "revisions": [ { "version": "v1", "updated": "2021-04-14T10:44:02.000Z" } ], "analyses": { "keywords": [ "universal properties", "active membranes", "mean-field exponents reveal universal behaviour", "exponents reveal universal behaviour distinct", "diffusive mean-field exponents reveal universal" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }