Breoni D, Schmiedeberg M, Löwen H (2020)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2020
Book Volume: 102
Article Number: 062604
DOI: 10.1103/PhysRevE.102.062604
We consider an active Brownian particle moving in a disordered two-dimensional energy or motility landscape. The averaged mean-square displacement (MSD) of the particle is calculated analytically within a systematic short-time expansion. As a result, for overdamped particles, both an external random force field and disorder in the self-propulsion speed induce ballistic behavior adding to the ballistic regime of an active particle with sharp self-propulsion speed. Spatial correlations in the force and motility landscape contribute only to the cubic and higher-order powers in time for the MSD. Finally, for inertial particles two superballistic regimes are found where the scaling exponent of the MSD with time is α=3 and α=4. We confirm our theoretical predictions by computer simulations. Moreover, they are verifiable in experiments on self-propelled colloids in random environments.
APA:
Breoni, D., Schmiedeberg, M., & Löwen, H. (2020). Active Brownian and inertial particles in disordered environments: Short-time expansion of the mean-square displacement. Physical Review E, 102. https://doi.org/10.1103/PhysRevE.102.062604
MLA:
Breoni, Davide, Michael Schmiedeberg, and Hartmut Löwen. "Active Brownian and inertial particles in disordered environments: Short-time expansion of the mean-square displacement." Physical Review E 102 (2020).
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