Run-and-tumble particles in a one-dimensional random potential show Sinai-type ultra-slow diffusion, and interacting particles form clusters whose mean size scales as the square root of the system size.
Dynamics of self-propelled particles under strong con- finement.Soft Matter, 10(30):5609, 2014
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Ramifications of disorder on active particles in one dimension
Run-and-tumble particles in a one-dimensional random potential show Sinai-type ultra-slow diffusion, and interacting particles form clusters whose mean size scales as the square root of the system size.