کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759764 896491 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Simulated annealing algorithm for finding periodic orbits of multi-electron atomic systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Simulated annealing algorithm for finding periodic orbits of multi-electron atomic systems
چکیده انگلیسی

We adapt the simulated annealing algorithm to the search of periodic orbits for classical multi-electron atomic systems. This is done by minimizing the nth return distance to the initial position on a Poincaré surface of section under an energy constraint. Here we give evidence of the feasibility of the method by applying it to the helium atom in the ground state for one to three spatial dimensions. We examine the structure of the dynamics and connect its organization to the periodic orbits we have found.

Research highlights
► We adapt the simulated annealing algorithm to the search of periodic orbits for classical multi-electron atomic systems.
► This is done by minimizing the nth return distance to the initial position on a Poincaré surface of section under an energy constraint.
► Here we give evidence of the feasibility of the method by applying it to the helium atom in the ground state for one to three spatial dimensions. We examine the structure of the dynamics and connect its organization to the periodic orbits we have found.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 7, July 2011, Pages 2845–2852
نویسندگان
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