About the Solution of the Numerical Instability for Topological Solitons with Long Range Interaction

被引：1

作者：

Anmasser, Fabian ^{[1
]}

Theuerkauf, Dominik ^{[1
]}

Faber, Manfried ^{[1
]}

机构：

[1] Tech Univ Wien, Atominst, Vienna, Austria

来源：

FEW-BODY SYSTEMS | 2021年 / 62卷 / 04期

关键词：

D O I：

10.1007/s00601-021-01662-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The computations of solutions of the field equations in the Model of Topological Particles, formulated with a scalar SU(2)-field, have shown instabilities leading to discrepancies between the numerical and analytical solutions. We identify the origin of these deviations in misalignments of the rotational axes corresponding to the SU(2) elements. The system of a single soliton we use as an example to show that a constraint suppressing the wave-like disturbances is able to lead to excellent agreement between the result of the numerical minimisation procedure and the analytical solution.

引用

页数：13

共 15 条

[1]

Anmasser F., THESIS TU WIEN, P2021

[2] COMMENTS ON NONLINEAR WAVE EQUATIONS AS MODELS FOR ELEMENTARY PARTICLES [J].