Report
Jamming the Random Lorentz Gas: Configurational Entropy, Crunching Geometry, and Critical Universality
| العنوان: | Jamming the Random Lorentz Gas: Configurational Entropy, Crunching Geometry, and Critical Universality |
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| المؤلفون: | Folena, Giampaolo, Charbonneau, Patrick, Morse, Peter K., Rojas, Rafael Díaz Hernández, Ricci-Tersenghi, Federico |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Soft Condensed Matter |
| الوصف: | Deterministic optimization algorithms unequivocally partition a complex energy landscape in inherent structures (ISs) and their respective basins of attraction. But can these basins be defined solely through geometric principles? This question is particularly important when examining the jamming of hard spheres. We here consider this issue by proposing a geometric class of gradient descent-like algorithms, which we use to study a system in the hard-sphere universality class, the random Lorentz gas. The statistics of the resulting IS is found to be strictly inherited from those of Poisson-Voronoi tessellations. The landscape roughness is further found to give rise to a hierarchical organization of ISs which various algorithms explore differently. In particular, greedy and reluctant schemes tend to favor ISs of markedly different densities. The resulting ISs nevertheless robustly exhibit a universal force distribution, thus confirming the geometric nature of the jamming universality class. Comment: 16 pages, 11 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2410.05784 |
| رقم الانضمام: | edsarx.2410.05784 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |