Alfredo A. Correa edited Recently_from_a_phenomenological_point__.tex  over 8 years ago

Commit id: f6de43e681568f0731ce5038e6804c6ed0f49516

deletions | additions      

       

In this region the electronic curve has a maximum due to the limited response time of target electrons to the projectile ions.  In this paper we concentrate in the intermediate regime.  In this paper we will address the problem of theoretical calculation of electronic stopping of protons in crystalline $\mathrm{Cu}$ in a wide range of velocities comprising the whole range of available experimental points. points ($0.01~\mathrm{a.u.} \leq v \leq 10~\mathrm{a.u.}$).  We perform our calculations by directly simulating the process of a proton traversing a crystal of $\mathrm{Cu}$ atoms, producing individual and collective electronic excitations within the TDDFT framework \cite{Correa_2012,Schleife_2012,Schleife_2014}.  We provide an interpretation of the results and comparison with experiments.  %In recent years, the development of time-dependent methods have enhanced the diverse study of many body problems involving the slowing down of charged projectiles both in solids and gases. The time dependent density functional theory (TDDFT) on the other hand has enjoyed much consideration owing to its electron dynamics both self-consistency and non-perturbative way.  %