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Semi-analytical solving procedure for the dynamics of charged particle in parametrically variable magnetic fieldстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Ershkov Sergey, Christianto Victor
- Журнал: European Physical Journal Plus
- Том: 137
- Номер: 8
- Год издания: 2022
- Номер статьи: 918
- DOI: 10.1140/epjp/s13360-022-03144-1
- Аннотация: We hereby present a gross-developing of new approach for approximate semi-analytic solving procedure (with illuminating geometrical invariants for numerical findings) with respect to equations of motion of dynamics of charged particle (in parametrically variable magnetic field), with restricting themselves in theoretical finding a partial classes of trapped motions with reduced symmetry. Aforesaid motions, determined by Lorentz force in non-relativistic case, then afterwards are classified accordingly in by several classes in order to visualize the aforementioned dynamics of a charged particle. As the main result, the system of equations of motion has been successfully explored with respect to the existence of semi-analytical way for presentation of the approximated solution with the help of Mathematica. Meanwhile, in each case the system of momentum equations has been successfully solved numerically or semi-analytically. The suggested approach can be used in the future researches as the semi-analytical development in solving such nonlinear equations with aim to diminish uncertainty in predicting the charged particle’s trajectory in variable magnetic field. The main result of current research should be formulated as follows: analytic algorithm is applied for solving momentum equation, which has been reduced to analytical solution of 3 nonlinear ODEs with respect to components of velocity of a charged particle, then such system has been solved semi-analytically for particular cases of parametrically variable magnetic field (with electric field having zero components).
- Добавил в систему: Ершков Сергей Владимирович