Generating function for the first passage characteristics of evanescent run-and-tumble particles

  • Jose Perico Henson Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

We formulate the evolution equations for a confined, one-dimensional, exponentially evanescent run-and-tumble particles model, and calculate the generating function for first passage characteristics. We obtain modified telegrapher’s equations for the evolution of the probability current and the probability density function of the run-and-tumble particles. The generating function can be used to calculate the eventual absorption probability at a point, and moments of the conditional first passage probability density.

Published
2019-05-24
How to Cite
[1]
J. P. Esguerra. Generating function for the first passage characteristics of evanescent run-and-tumble particles, Proceedings of the Samahang Pisika ng Pilipinas 37, SPP-2019-1D-05 (2019). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2019-1D-05.
Section
Theoretical and Mathematical Physics