دورية أكاديمية
Generating dense packings of hard spheres by soft interaction design
| العنوان: | Generating dense packings of hard spheres by soft interaction design |
|---|---|
| المؤلفون: | Thibaud Maimbourg, Mauro Sellitto, Guilhem Semerjian, Francesco Zamponi |
| المصدر: | SciPost Physics, Vol 4, Iss 6, p 039 (2018) |
| بيانات النشر: | SciPost |
| سنة النشر: | 2018 |
| المجموعة: | Directory of Open Access Journals: DOAJ Articles |
| مصطلحات موضوعية: | Physics, QC1-999 |
| الوصف: | Packing spheres efficiently in large dimension $d$ is a particularly difficult optimization problem. In this paper we add an isotropic interaction potential to the pure hard-core repulsion, and show that one can tune it in order to maximize a lower bound on packing density. Our results suggest that exponentially many (in the number of particles) distinct disordered sphere packings can be effectively constructed by this method, up to a packing fraction close to $7\, d\, 2^{-d}$. The latter is determined by solving the inverse problem of maximizing the dynamical glass transition over the space of the interaction potentials. Our method crucially exploits a recent exact formulation of the thermodynamics and the dynamics of simple liquids in infinite dimension. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 2542-4653 |
| العلاقة: | https://scipost.org/SciPostPhys.4.6.039Test; https://doaj.org/toc/2542-4653Test; https://doaj.org/article/6d07618ae01f45cbaf52d92e87ad5294Test |
| DOI: | 10.21468/SciPostPhys.4.6.039 |
| الإتاحة: | https://doi.org/10.21468/SciPostPhys.4.6.039Test https://doaj.org/article/6d07618ae01f45cbaf52d92e87ad5294Test |
| رقم الانضمام: | edsbas.E872E093 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 25424653 |
|---|---|
| DOI: | 10.21468/SciPostPhys.4.6.039 |