Ring Current Proton Dynamics Driven by Wave-Particle Interactions During a Nonstorm Period
Modeling of pitch angle scattering of ring current protons at interaction with electromagnetic ion cyclotron waves during a nonstorm period was considered very seldom. Therefore it is used correlated observation of enhanced electromagnetic ion cyclotron (EMIC) waves and dynamic evolution of ring current proton ﬂux collected by Cluster satellite near the location L = 4.5 during March 26-27, 2003, a nonstorm period (Dst > -10 nT). Energetic (5-30 keV) proton ﬂuxes are found to drop rapidly (e.g., a half hour) at lower pitch angles, corresponding to intensiﬁed EMIC wave activities. As mathematical model is used the non-stationary one-dimensional pitch angle diﬀusion equation which allows to compute numerically density of phase space or pitch angle distribution of the charged particles in the Earth’s magnetosphere. The model depends on time t, a local pitch angle and several parameters (the mass of a particle, the energy, the McIlwain parameter, the magnetic local time or geomagnetic eastern longitude, the geomagnetic activity index, parameter of the charged particle pitch angle distribution taken for the 90 degrees pitch angle at t = 0, the lifetime due to wave-particle interactions). This model allows numerically to estimate also for diﬀerent geophysical conditions a lifetime due to wave-particle interactions. It is shown, that EMIC waves can yield decrements in proton ﬂux within 30 minutes, consistent with the observational data. The good consent is received. Comparison of results on full model for the pitch angle range from 0 up to 180 degrees and on the model for the 90 degrees pitch angle is lead. For a perpendicular diﬀerential ﬂux of the Earth’s ring current protons very good consent with the maximal relative error approximately 3.23 % is received.