تقرير
Ohta-Kawasaki energy for amphiphiles: asymptotics and phase-field simulations
| العنوان: | Ohta-Kawasaki energy for amphiphiles: asymptotics and phase-field simulations |
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| المؤلفون: | Du, Qiang, Scott, James M., Xu, Zirui |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Condensed Matter |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Condensed Matter - Soft Condensed Matter, 49Q20 (Primary) 35Q92, 35B36 (Secondary) |
| الوصف: | We study the minimizers of a degenerate case of the Ohta-Kawasaki energy, defined as the sum of the perimeter and a Coulombic nonlocal term. We start by investigating radially symmetric candidates which give us insights into the asymptotic behaviors of energy minimizers in the large mass limit. In order to numerically study the problems that are analytically challenging, we propose a phase-field reformulation which is shown to Gamma-converge to the original sharp interface model. Our phase-field simulations and asymptotic results suggest that the energy minimizers exhibit behaviors similar to the self-assembly of amphiphiles, including the formation of lipid bilayer membranes. Comment: 51 pages; 14 figures; submitted for publication; minor typos corrected |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.05679 |
| رقم الأكسشن: | edsarx.2401.05679 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |