{ "id": "2302.11820", "version": "v1", "published": "2023-02-23T07:09:31.000Z", "updated": "2023-02-23T07:09:31.000Z", "title": "Swarmalators with thermal noise", "authors": [ "Hyunsuk Hong", "Kevin P. O'Keeffe", "Jae Sung Lee", "Hyunggyu Park" ], "comment": "10 pages, 4 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "We investigate a population of swarmalators, a mobile version of phase oscillators that both sync in time and swarm through space. We focus on a XY-type model of identical swarmalators running on a one-dimensional ring and subject to thermal noise. We uncover four distinct collective states, some of which capture the behavior of real-world swarmalators such as vinegar eels and sperm. Among these, the most intriguing is the `mixed state', which blends two of the other states. We present a comprehensive phase diagram from the Fourier mode analysis with a high accuracy, which is in excellent agreement with numerical simulation results. Our model serves as a tractable toy model for thermal systems that both self-synchronize and self-assemble interdependently.", "revisions": [ { "version": "v1", "updated": "2023-02-23T07:09:31.000Z" } ], "analyses": { "keywords": [ "thermal noise", "fourier mode analysis", "distinct collective states", "real-world swarmalators", "vinegar eels" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }