2022-09-29T07:03:37Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/367342021-06-24T07:32:49Zcom_10324_36327com_10324_954com_10324_894com_10324_1159com_10324_931col_10324_36329col_10324_1310
2019-07-08T12:01:16Z
urn:hdl:10324/36734
Magnetostatic Dipolar Energy of Large Periodic Ni fcc Nanowires, Slabs and Spheres
Cabria Álvaro, Iván
Producción Científica
The computational effort to calculate the magnetostatic dipolar energy, MDE, of a periodic cell of N magnetic moments
is an O(N2) task. Compared with the calculation of the Exchange and Zeeman energy terms, this is the most
computationally expensive part of the atomistic simulations of the magnetic properties of large periodic magnetic
systems. Two strategies to reduce the computational effort have been studied: An analysis of the traditional Ewald
method to calculate the MDE of periodic systems and parallel calculations. The detailed analysis reveals that, for certain
types of periodic systems, there are many matrix elements of the Ewald method identical to another elements, due
to some symmetry properties of the periodic systems. Computation timing experiments of the MDE of large periodic
Ni fcc nanowires, slabs and spheres, up to 32000 magnetic moments in the periodic cell, have been carried out and
they show that the number of matrix elements that should be calculated is approximately equal to N, instead of N2/2,
if these symmetries are used, and that the computation time decreases in an important amount. The time complexity
of the analysis of the symmetries is O(N3), increasing the time complexity of the traditional Ewald method. MDE is
a very small energy and therefore, the usual required precision of the calculation of the MDE is so high, about 10−6
eV/cell, that the calculations of large periodic magnetic systems are very expensive and the use of the symmetries
reduces, in practical terms, the computation time of the MDE in a significant amount, in spite of the increase of the
time complexity. The second strategy consists on parallel calculations of the MDE without using the symmetries of
the periodic systems. The parallel calculations have been compared with serial calculations that use the symmetries.
2019-07-08T12:01:16Z
2019-07-08T12:01:16Z
2019
info:eu-repo/semantics/article
Applied Surface Science, 2019, vol. 490. p. 352-364
0169-4332
http://uvadoc.uva.es/handle/10324/36734
https://doi.org/10.1016/j.apsusc.2019.05.307
eng
https://www.sciencedirect.com/science/article/pii/S0169433219316150?via%3Dihub
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
© 2019 Elsevier
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier