تقرير
The hydrodynamic limit for local mean-field dynamics with unbounded spins
| العنوان: | The hydrodynamic limit for local mean-field dynamics with unbounded spins |
|---|---|
| المؤلفون: | Bovier, Anton, Ioffe, Dmitry, Müller, Patrick |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics Condensed Matter |
| مصطلحات موضوعية: | Mathematics - Probability, Condensed Matter - Statistical Mechanics, 60J80, 60G70, 82B44 |
| الوصف: | We consider the dynamics of a class of spin systems with unbounded spins interacting with local mean field interactions. We proof convergence of the empirical measure to the solution of a McKean-Vlasov equation in the hydrodynamic limit and propagation of chaos. This extends earlier results of G\"artner, Comets and others for bounded spins or strict mean field interactions. Comment: 22 pages, several typos corrected |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s10955-018-2069-y |
| URL الوصول: | http://arxiv.org/abs/1805.00641 |
| رقم الأكسشن: | edsarx.1805.00641 |
| قاعدة البيانات: | arXiv |
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