Collective Dynamics Inside Paul Trap With Stray Electric Field Using Nonextensive Distribution Function

Abstract

The collective dynamics of a collision-less nonneutral plasma is analyzed in the presence of stray electric field inside a Paul trap. Experiments in Paul traps have indicated the presence of power tail distribution functions. Therefore, a Tsallis distribution function represents the initial distribution of charged particles inside the trap. The stroboscopic map in phase space reveals a closed curve, indicating that a carefully chosen initial distribution function will yield a time-periodic distribution function. The time-averaged distribution function is doubled humped indicating instabilities. The position of the double hump and the asymmetry in the spatial variation of temperature inside the trap depends on the magnitude and the orientation of the stray electric field inside the trap.