NDLI: Plane one-dimensional relativistic electron oscillations

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Plane one-dimensional relativistic electron oscillations

Content Provider	Scilit
Author	Chizhonkov, E. V.
Copyright Year	2019
Description	The chapter deals with plane one-dimensional relativistic electron oscillations described by the P1RE system of equations. First, it explains the background of breaking: the shift of the fundamental oscillation frequency and the violation of the property of invariance. Then, a basic numerical algorithm is built on the basis of the 'leapfrog' scheme and the Lagrangian variables, with the help of which the development and completion of oscillations is determined by numerical simulation. Further, in order to study more complex problems (for the future!), an approximate method is constructed based on the Eulerian variables and the idea of splitting along physical processes. Finally, using asymptotic formulas describing the dynamics of relativistic oscillations, the artificial boundary conditions of various orders of accuracy with respect to amplitude and grid parameters are derived. Book Name: Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma
Related Links	https://content.taylorfrancis.com/books/download?dac=C2019-0-98719-0&isbn=9780429288289&doi=10.1201/9780429288289-3&format=pdf
Ending Page	75
Page Count	28
Starting Page	48
DOI	10.1201/9780429288289-3
Language	English
Publisher	Informa UK Limited
Publisher Date	2019-04-08
Access Restriction	Open
Subject Keyword	Book Name: Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma Mathematical Physics Numerical Simulation Relativistic Electron Electron Oscillations Dimensional Relativistic Plane One Dimensional
Content Type	Text
Resource Type	Chapter

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