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Temporal evolution of the velocity distribution in systems described by the Vlasov equation; Radiation Belts: Analytical and computational results

Published online by Cambridge University Press:  24 September 2020

Abiam Tamburrini C Open the ORCID record for Abiam Tamburrini C [Opens in a new window] ,
Iván Gallo-Méndez Open the ORCID record for Iván Gallo-Méndez [Opens in a new window] ,
Sergio Davis Open the ORCID record for Sergio Davis [Opens in a new window]  and
Pablo S. Moya Open the ORCID record for Pablo S. Moya [Opens in a new window]
Abiam Tamburrini C
Affiliation:
Departamento de Física, Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Santiago. emails: [email protected], [email protected], [email protected]
Iván Gallo-Méndez
Affiliation:
Departamento de Física, Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Santiago. emails: [email protected], [email protected], [email protected]
Sergio Davis
Affiliation:
Comisión Chilena de Energía Nuclear, Casilla 188-D, Santiago. email: [email protected] Departamento de Física, Facultad de Ciencias Exactas, Universidad Andres Bello.
Pablo S. Moya
Affiliation:
Departamento de Física, Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Santiago. emails: [email protected], [email protected], [email protected]
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Abstract

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An interesting problem in plasma physics, when approached from the point of view of Statistical Mechanics is to obtain properties of collisionless plasmas, which are described by the Vlasov equation. Through what we call the Ehrenfest procedure, which uses statistical mechanical relations we obtain expectation value relations for arbitrary observables, which allows us to study the dynamics of the Earth's Outer Radiation Belt. Focusing on the velocity fluctuations, the width of the distribution function and the pitch angle, a computer simulation was performed to describe the system in order to compare and test the Ehrenfest approach. Our results show that the change in the average width of the distribution follows the analytical relation. However, for the velocity fluctuation results are not conclusive yet and require more exploration. It remains as future work to verify the relation for the pitch angle.

Keywords

Statistical MechanicsSpace Plasma PhysicsEhrenfest ProcedureRadiation Belts
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 15 , Symposium S354: Solar and Stellar Magnetic Fields: Origins and Manifestations , June 2019 , pp. 367 - 370
Copyright
© International Astronomical Union 2020

References

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