Speaker
Description
We study the non-equilibrium dynamics for no-fusion and fusion events in a Dyson gas of $N$ charged particles interacting through a logarithmic Coulomb potential surrounded by a thermal bath at a reduced temperature $\beta=q_0^2/(k_BT)$, where $q_0$ is the charge per particle and $T$ is temperature of the bath. First, we characterize the relaxation-time, $\tau$, in the regime for no-fusion processes, for which the system reach a “thermal equilibrium” and show how a time-law-scale governs the time-evolution for this regime. We prove the validity of Wigner's Surmise for $\beta\geq1.0$ compared with those values used in Gaussian ensembles for times greater than relaxation time $t\gg\tau$, i.e., when the system reached the thermal equilibrium. Finally, we study the time-evolution of nearest neighbours distance distributions for different $\beta$ in the regime for fusion events and compare its dynamics with no-fusion regime.
