Relaxation of twodimensional interacting charged particles under magnetic confinement
Abstract
We study the relaxation of a classical gas of fully interacting twodimensional charged particles under a transverse magnetic field. The gas is initialized in an artificial conditionthe particles are placed randomly into a circle of a fixed radius and releasedand the equations of motion are integrated numerically to find the longtime equilibrium configuration. The scattering mechanisms responsible for the relaxation are studied, revealing two distinct regimes: at short times, the gas expands and contracts as a whole at roughly the cyclotron frequency, and the interparticle scattering (being density dependent) shows a periodic ``scattering out'' of a small fraction of the constituent particles from the oscillating body. After roughly ten cyclotron periods, about twothirds of the particles have been scattered out of the oscillating cloud, and the scattering becomes essentially a small group oscillating through (and colliding with) a thermalized region of randomly moving charges. We find that the overall relaxation time of the gas scales like the square root of the number of particles, and that for a fixed number of particles the relaxation time scales like the inverse square root of the initial radius.
 Publication:

Physical Review B
 Pub Date:
 June 2001
 DOI:
 10.1103/PhysRevB.63.235312
 Bibcode:
 2001PhRvB..63w5312J
 Keywords:

 73.21.La;
 73.90.+f;
 Quantum dots;
 Other topics in electronic structure and electrical properties of surfaces interfaces thin films and lowdimensional structures