Va. Schweigert et Fm. Peeters, TIME-DEPENDENT PROPERTIES OF CLASSICAL ARTIFICIAL ATOMS, Journal of physics. Condensed matter, 10(11), 1998, pp. 2417-2435
The time-dependent properties of a finite number of classical charged
particles moving in two dimensions (2D) and which are confined by a pa
rabolic potential are studied. In equilibrium those particles arrange
themselves in shells. Using molecular dynamics we obtain the temperatu
re dependence of the transition rate for particles jumping between she
lls and the transition rate for intershell rotation. The temperature d
ependence of the velocity autocorrelation function is studied. We rela
te the behaviour of these quantities to the melting of the system. The
results of our numerical simulation are compared with those from clas
sical rate theory. The influence of a magnetic field on the particle m
otion anti on the rate of jumps is also investigated.