{ "id": "0805.1453", "version": "v1", "published": "2008-05-11T09:55:16.000Z", "updated": "2008-05-11T09:55:16.000Z", "title": "Cosmological simulations of structure formation and the Vlasov equation", "authors": [ "Michael Joyce" ], "comment": "8 pages, proceedings (refereed) of \"Vlasovia 2006\", 2nd int'l workshop on the theory and applications of the Vlasov equation, Florence, September 2006. A more detailed report on recent progress may be found at arXiv:0805.1357", "journal": "Commun.NonlinearSci.Numer.Simul.13:100,2008", "doi": "10.1016/j.cnsns.2007.05.014", "categories": [ "cond-mat.stat-mech", "astro-ph" ], "abstract": "In cosmology numerical simulations of structure formation are now of central importance, as they are the sole instrument for providing detailed predictions of current cosmological models for a whole class of important constraining observations. These simulations are essentially molecular dynamics simulations of N (>> 1), now up to of order several billion) particles interacting through their self-gravity. While their aim is to produce the Vlasov limit, which describes the underlying (``cold dark matter'') models, the degree to which they actually do produce this limit is currently understood, at best, only very qualitatively, and there is an acknowledged need for ``a theory of discreteness errors''. In this talk I will describe, for non-cosmologists, both the simulations and the underlying theoretical models, and will then focus on the issue of discreteness, describing some recent progress in addressing this question quantitatively.", "revisions": [ { "version": "v1", "updated": "2008-05-11T09:55:16.000Z" } ], "analyses": { "subjects": [ "95.10.Ce", "98.80.-k" ], "keywords": [ "structure formation", "vlasov equation", "cosmological simulations", "cold dark matter", "essentially molecular dynamics simulations" ], "tags": [ "journal article" ], "publication": { "journal": "Communications in Nonlinear Science and Numerical Simulations", "year": 2008, "month": "Feb", "volume": 13, "number": 1, "pages": 100 }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "inspire": 785486, "adsabs": "2008CNSNS..13..100J" } } }