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The recently developed energy conserving semi-implicit method (ECsim) for PICsimulation is applied to multiple scale problems where the electron-scalephysics needs to be only partially retained and the interest is on themacroscopic or ion-scale processes. Unlike hybrid methods, the ECsim is capableof providing kinetic electron information, such as wave-electron interaction(Landau damping or cyclotron resonance) and non-Maxwellian electron velocitydistributions. However, like hybrid, the ECsim does not need to resolve allelectron scales, allowing time steps and grid spacing orders of magnitudelarger than in explicit PIC schemes. The additional advantage of the ECsim isthat the stability at large scale is obtained while conserving energy exactly.Three examples are presented: ion acoustic waves, electron acoustic instabilityand reconnection processes.

Multiple scale kinetic simulations with the energy conserving semi implicit particle in cell (PIC) method