Simulation of stationary states of the two dimensional electron plasma trapped in magnetic field

We have performed numerical simulations on the pure electron plasma system under strong magnetic field, and examined stationary states that the system eventually evolves into from various initial configurations. We compare our results with experiments and some statistical theories, which include the Gibbs-Boltzmann statistics, Tsallis statistics, the fluid entropy theory, and the minimum enstrophy state. We find that the final stationary states depend upon initial states, even if the initial states have the same energy and angular momentum; this means this system is not ergodic. From some of those initial states we obtain the final states which are close to the minimum enstrophy state. However, we find that from some other initial states, the system evolves not into stationary state but into the vortex crystal state, which strongly depends upon microscopic structure of the initial states due to the chaotic dynamics of transient vortex clumps.