Kavli Affiliate: Rudolf Podgornik
| First 5 Authors: Aoran Sun, Fangfu Ye, Rudolf Podgornik, ,
| Summary:
We study the problem of a run and tumble particle in a harmonic trap, with a
finite run and tumble time, by a direct integration of the equation of motion.
An exact 1D steady state distribution, diagram laws and a programmable Volterra
difference equation are derived to calculate any order of moments in any other
dimension, both for steady state as well as the Laplace transform in time for
the intermediate states. We also use the moments to infer the distribution by
considering a Gaussian quadrature for the corresponding measure, and from the
scaling law of high order moments.
| Search Query: ArXiv Query: search_query=au:”Rudolf Podgornik”&id_list=&start=0&max_results=3