Random Interactions
Particle dynamics in time-periodic systems
by Prof. Kushal Shah (IIT Delhi)
Thursday, August 13, 2015
from
to
(Asia/Kolkata)
at A304
at A304
Description |
Theoretical analysis of particle dynamics in time-periodic systems is of great interest in plasma physics. We have analysed this problem for the case of both continuous and discrete systems. For the continuous case, we have derived analytic expressions of the plasma distribution function in Paul traps and have shown that the time averaged plasma density is very different from that predicted by conventional theory. For the discrete case, this problem is termed Fermi acceleration (dynamical billiards with moving boundaries). In this case, particles have been shown to undergo unbounded energy growth if the frozen billiard is chaotic. We have shown that chaos is not necessary and unbounded energy growth can be obtained with pseudo-integrable billiards too. In fact, the energy growth in chaotic systems is only quadratic-in-time whereas in pseudo-integrable systems it is exponential-in-time! |