Kavli Affiliate: Rudolf Podgornik
| First 5 Authors: Aoran Sun, Da Wei, Yiyu Zhang, Fangfu Ye, Rudolf Podgornik
| Summary:
We study an active Brownian run-and-tumble particle (ABRTP) model, that
consists of an active Brownian run state during which the active velocity of
the particle diffuses on the unit circle, and a tumble state during which the
active velocity is zero, both with exponentially distributed time. Additionally
we add a harmonic trap as an external potential. In the appropriate limits the
ABRTP model reduces either to the active Brownian particle model, or the
run-and-tumble particle model. Using the method of direct integration the
equation of motion, pioneered by Kac, we obtain exact moments for the Laplace
transform of the time dependent ABRTP, in the presence or absence of a harmonic
trap. In addition we estimate the distribution moments with the help of the
Chebyshev polynomials. Our results are in excellent agreement with the
experiments.
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