کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
518065 | 867554 | 2015 | 19 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Comparison of deterministic and stochastic methods for time-dependent Wigner simulations Comparison of deterministic and stochastic methods for time-dependent Wigner simulations](/preview/png/518065.png)
Recently a Monte Carlo method based on signed particles for time-dependent simulations of the Wigner equation has been proposed. While it has been thoroughly validated against physical benchmarks, no technical study about its numerical accuracy has been performed. To this end, this paper presents the first step towards the construction of firm mathematical foundations for the signed particle Wigner Monte Carlo method. An initial investigation is performed by means of comparisons with a cell average spectral element method, which is a highly accurate deterministic method and utilized to provide reference solutions. Several different numerical tests involving the time-dependent evolution of a quantum wave-packet are performed and discussed in deep details. In particular, this allows us to depict a set of crucial criteria for the signed particle Wigner Monte Carlo method to achieve a satisfactory accuracy.
Journal: Journal of Computational Physics - Volume 300, 1 November 2015, Pages 167–185