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

## TL;DR

ViDA is a specialized Vlasov-Darwin solver designed for high-accuracy, small-scale plasma physics simulations, enabling detailed studies of electron-scale phenomena like magnetic reconnection and turbulence.

## Contribution

The paper introduces ViDA, a novel numerical code that efficiently simulates electron-scale plasma dynamics using a Vlasov-Darwin approach with low noise and high accuracy.

## Key findings

- Successfully reproduces linear and nonlinear wave propagation
- Captures magnetic reconnection physics accurately
- Demonstrates efficient parallelization on high-performance computing clusters

## Abstract

We present a Vlasov-DArwin numerical code (ViDA) specifically designed to address plasma physics problems, where small-scale high accuracy is requested even during the non linear regime to guarantee a clean description of the plasma dynamics at fine spatial scales. The algorithm provides a low-noise description of proton and electron kinetic dynamics, by splitting in time the multi-advection Vlasov equation in phase space. Maxwell equations for the electric and magnetic fields are reorganized according to Darwin approximation to remove light waves. Several numerical tests show that ViDA successfully reproduces the propagation of linear and nonlinear waves and captures the physics of magnetic reconnection. We also discuss preliminary tests of the parallelization algorithm efficiency, performed at CINECA on the Marconi-KNL cluster. ViDA will allow to run Eulerian simulations of a non-relativistic fully-kinetic collisionless plasma and it is expected to provide relevant insights on important problems of plasma astrophysics such as, for instance, the development of the turbulent cascade at electron scales and the structure and dynamics of electron-scale magnetic reconnection, such as the electron diffusion region.