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We present a Vlasov-DArwin numerical code (ViDA) specifically designed toaddress plasma physics problems, where small-scale high accuracy is requestedeven during the non linear regime to guarantee a clean description of theplasma dynamics at fine spatial scales. The algorithm provides a low-noisedescription of proton and electron kinetic dynamics, by splitting in time themulti-advection Vlasov equation in phase space. Maxwell equations for theelectric and magnetic fields are reorganized according to Darwin approximationto remove light waves. Several numerical tests show that ViDA successfullyreproduces the propagation of linear and nonlinear waves and captures thephysics of magnetic reconnection. We also discuss preliminary tests of theparallelization algorithm efficiency, performed at CINECA on the Marconi-KNLcluster. ViDA will allow to run Eulerian simulations of a non-relativisticfully-kinetic collisionless plasma and it is expected to provide relevantinsights on important problems of plasma astrophysics such as, for instance,the development of the turbulent cascade at electron scales and the structureand dynamics of electron-scale magnetic reconnection, such as the electrondiffusion region.

ViDA: a Vlasov-DArwin solver for plasma physics at electron scales