TY - JOUR

T1 - Temporal evolution of the velocity distribution in systems described by the Vlasov equation; Radiation Belts

T2 - Analytical and computational results

AU - Tamburrini C, Abiam

AU - Gallo-Méndez, Iván

AU - Davis, Sergio

AU - Moya, Pablo S.

N1 - Publisher Copyright:
© International Astronomical Union 2020.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Ehrenfest Procedure

KW - Radiation Belts

KW - Space Plasma Physics

KW - Statistical Mechanics

UR - http://www.scopus.com/inward/record.url?scp=85092693786&partnerID=8YFLogxK

U2 - 10.1017/S1743921320000678

DO - 10.1017/S1743921320000678

M3 - Article

AN - SCOPUS:85092693786

SP - 367

EP - 370

JO - Proceedings of the International Astronomical Union

JF - Proceedings of the International Astronomical Union

SN - 1743-9213

ER -