تقرير
Construction of a pathway map on a complicated energy landscape
| العنوان: | Construction of a pathway map on a complicated energy landscape |
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| المؤلفون: | Yin, Jianyuan, Wang, Yiwei, Chen, Jeff Z. Y., Zhang, Pingwen, Zhang, Lei |
| المصدر: | Phys. Rev. Lett. 124, 090601 (2020) |
| سنة النشر: | 2019 |
| المجموعة: | Condensed Matter Physics (Other) |
| مصطلحات موضوعية: | Physics - Computational Physics, Condensed Matter - Soft Condensed Matter |
| الوصف: | How do we search for the entire family tree without unwanted random guesses, starting from a high-index and high-energy stationary state on the energy landscape? Here we introduce a general numerical method that constructs the pathway map clearly connecting all stationary points branched from a single parent state. The map guides our understanding of how a physical system moves on the energy landscape. In particular, the method allows us to identify the transition state between energy minima and the energy barrier associated with such a state. As an example, we solve the Landau-de Gennes energy incorporating the Dirichlet boundary conditions to model a liquid crystal confined in square box; we illustrate the basic concepts by examining the multiple stationary solutions and the connected pathway maps of the model. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevLett.124.090601 |
| الوصول الحر: | http://arxiv.org/abs/1909.13182Test |
| رقم الانضمام: | edsarx.1909.13182 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevLett.124.090601 |
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