تقرير
Many-body correlations from integral geometry
| العنوان: | Many-body correlations from integral geometry |
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| المؤلفون: | Robinson, Joshua F., Turci, Francesco, Roth, Roland, Royall, C. Paddy |
| المصدر: | Phys. Rev. E 100, 062126 (2019) |
| سنة النشر: | 2019 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Soft Condensed Matter |
| الوصف: | In a recent letter we presented a framework for predicting the concentrations of many-particle local structures inside the bulk liquid as a route to assessing changes in the liquid approaching dynamical arrest. Central to this framework was the morphometric approach, a synthesis of integral geometry and liquid state theory, which has traditionally been derived from fundamental measure theory. We present the morphometric approach in a new context as a generalisation of scaled particle theory, and derive several morphometric theories for hard spheres of fundamental and practical interest. Our central result is a new theory which is particularly suited to the treatment of many-body correlation functions in the hard sphere liquid, which we demonstrate by numerical tests against simulation. Comment: 12 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.100.062126 |
| URL الوصول: | http://arxiv.org/abs/1908.03508 |
| رقم الأكسشن: | edsarx.1908.03508 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.100.062126 |
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