Report
Observation of droplets in dimer model on a triangular lattice
| العنوان: | Observation of droplets in dimer model on a triangular lattice |
|---|---|
| المؤلفون: | Shvalyuk, Daria, Nazarov, Anton |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics Physics (Other) |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Mathematical Physics, Physics - Computational Physics, 82B20, 05C70, 82M31, J.2, G.3 |
| الوصف: | In this paper, we consider the formation of droplets in the dimer model on a triangular lattice. The droplets in the dimer model are superposition polygons formed as two overlapping configurations of dimers: constant and movable. We demonstrate that specific local energies of dimers and low temperatures lead to the emergence of a macroscopic droplet. The motivation for this study was the phenomenon of the formation of equilibrium droplets under certain conditions in the Ising model within the framework of the Dobrushin-Koteck\'y-Shlosman theory. Due to the deep connections between the Ising model and the dimer model, similar behaviour was expected. Comment: 9 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2411.17497 |
| رقم الانضمام: | edsarx.2411.17497 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |