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Dynamics of a charged particle in electromagnetic field with Joule effectстатья
- Авторы: Ershkov Sergey, Leshchenko Dmytro
- Журнал: Romanian Reports on Physics
- Том: 72
- Номер: 4
- Год издания: 2020
- Издательство: Editura Academiei Romane
- Местоположение издательства: Romania
- Первая страница: 1
- Последняя страница: 11
- Номер статьи: 120
- Аннотация: In this paper, we present a new approach for solving equations of motion for the dynamics of charged particles moving under the action of electromagnetic field along with additional influence of the Joule effect. A new type of solving procedure is implemented here for the equations of motion of the charged particle, determined by the Lorentz force, and additionally taking into account the Joule effect. Meanwhile, the system of equations of motion has been successfully explored with respect to the existence of an analytical way for the presentation of the solution. Last but not least, we obtain the solutions in a form of a spiral-type motion. As a main result of this study, the equations of motion are reduced to a system of two nonlinear ordinary differential equations of first order (with regard to time t) for two unknown functions: 1) w(t) (angular velocity of spiral rotation) and 2) ξ(t) (spiral factor of motion for a charged particle). Moreover, the approximated solutions have been also obtained under appropriate simplifying assumptions.
- Добавил в систему: Ершков Сергей Владимирович