کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6931930 | 867712 | 2015 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations](/preview/png/6931930.png)
چکیده انگلیسی
Behaviors of dark soliton propagation, collision, and vortex formation in the context of a non-equilibrium condensate are interesting to study. This can be achieved by solving open dissipative Gross-Pitaevskii equations (dGPEs) in multiple dimensions, which are a generalization of the standard Gross-Pitaevskii equation that includes effects of the condensate gain and loss. In this article, we present a generalized finite-difference time-domain (G-FDTD) scheme, which is explicit, stable, and permits an accurate solution with simple computation, for solving the multi-dimensional dGPE. The scheme is tested by solving a steady state problem in the non-equilibrium condensate. Moreover, it is shown that the stability condition for the scheme offers a more relaxed time step restriction than the popular pseudo-spectral method. The G-FDTD scheme is then employed to simulate the dark soliton propagation, collision, and the formation of vortex-antivortex pairs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 282, 1 February 2015, Pages 303-316
Journal: Journal of Computational Physics - Volume 282, 1 February 2015, Pages 303-316
نویسندگان
Frederick Ira III, Tim Byrnes, Baoling Ma, Yun Yan, Weizhong Dai,