this is for holding javascript data
Edwin E. Quashie added Figure_ref_fig_force_on_neighbor_shows__.tex
over 8 years ago
Commit id: bf465215255da5b151f401b704b22cd66e7b7cb0
deletions | additions
diff --git a/Figure_ref_fig_force_on_neighbor_shows__.tex b/Figure_ref_fig_force_on_neighbor_shows__.tex
new file mode 100644
index 0000000..b4a8b55
--- /dev/null
+++ b/Figure_ref_fig_force_on_neighbor_shows__.tex
...
Figure \ref{fig:force_on_neighbor} shows the radial force exerted on a neighboring Cu atom closest to $\mathrm{H^+}$ trajectory as a function of parallel distance to the projectile at different projectile velocities along the [100] channeling trajectory. The forces on the nuclei are evaluated using the time-dependent electron density, $n(\mathbf{r}, t)$.
The force is obtained by the application of the Hellmann-Feynman theorem \cite{Hellmann_2015,1941,Feynman_1939}.
The adiabatic force is recovered for $v \to 0$ with no oscillations as expected.
The maximum value for the force is obtained at the closest distance between $\mathrm{H^+}$ and neighbor $\mathrm{Cu}$ atom.
As the proton moves away from the $\mathrm{Cu}$ atom, the force decreases significantly and eventually reduces to zero. As the velocity increases the position of the maximum value of the force shifts due to the complex shape-structure of the curves and results oscillations. These oscillations becomes persistent as the velocity of the proton increases.%
