{ "id": "1512.05895", "version": "v1", "published": "2015-12-18T10:42:25.000Z", "updated": "2015-12-18T10:42:25.000Z", "title": "The scaling limit of a particle system with long-range interaction", "authors": [ "Anton Bovier", "Carina Geldhauser" ], "comment": "28 pages. Comments welcome", "categories": [ "math.PR" ], "abstract": "We describe the macroscopic behaviour of a particle system with long-range interactions. We describe conditions on the interaction strength in dependency of the distance of the particles, such that the scaling limit of the particle system is a well-posed stochastic PDE.", "revisions": [ { "version": "v1", "updated": "2015-12-18T10:42:25.000Z" } ], "analyses": { "subjects": [ "60H15", "35R60", "82B26" ], "keywords": [ "particle system", "long-range interaction", "scaling limit", "macroscopic behaviour", "interaction strength" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151205895B" } } }