The lognormal-like statistics of a stochastic squeeze process Academic Article uri icon

abstract

  • Abstract: We analyze the full statistics of a stochastic squeeze process. The model's two parameters are the bare stretching rate~ $ w $, and the angular diffusion coefficient~ $ D $. We carry out an exact analysis to determine the drift and the diffusion coefficient of $\log (r) $, where $ r $ is the radial coordinate. The results go beyond the heuristic lognormal description that is implied by the central limit theorem. Contrary to the common" Quantum Zeno" approximation, the radial diffusion is not simply $ D_r=(1/8) w^ 2/D $, but has a non …

publication date

  • January 5, 2017