Speaker
Derek Frydel
(Federico Santa Maria Technical University)
Description
In this talk, we present an integral equation formulation of run-and-tumble particles (RTPs) under two types of confinement: between parallel walls and within a harmonic potential. This reformulation allows us to obtain exact analytical results that are not accessible through the standard Fokker-Planck differential equation approach. A second objective is to draw analogies between the RTP model and other well-known models in statistical mechanics. Finally, we seek to understand why exact solutions are attainable in certain spatial dimensions but not in others.
Primary author
Derek Frydel
(Federico Santa Maria Technical University)
