تقرير
Exclusion statistics for particles with a discrete spectrum
| العنوان: | Exclusion statistics for particles with a discrete spectrum |
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| المؤلفون: | Ouvry, Stéphane, Polychronakos, Alexios. P. |
| المصدر: | Nucl. Phys. B 972, 115573 (2021) |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Condensed Matter High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, High Energy Physics - Theory, Mathematical Physics |
| الوصف: | We formulate and study the microscopic statistical mechanics of systems of particles with exclusion statistics in a discrete one-body spectrum. The statistical mechanics of these systems can be expressed in terms of effective single-level grand partition functions obeying a generalization of the standard thermodynamic exclusion statistics equation of state. We derive explicit expressions for the thermodynamic potential in terms of microscopic cluster coefficients and show that the mean occupation numbers of levels satisfy a nesting relation involving a number of adjacent levels determined by the exclusion parameter. We apply the formalism to the harmonic Calogero model and point out a relation with the Ramanujan continued fraction identity and appropriate generalizations. Comment: 20 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.nuclphysb.2021.115573 |
| URL الوصول: | http://arxiv.org/abs/2105.14042 |
| رقم الأكسشن: | edsarx.2105.14042 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.nuclphysb.2021.115573 |
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