Run-and-tumble motion in trapping environments
arXiv:2303.03078 · doi:10.1088/1402-4896/ad0b4e
Abstract
Complex or hostile environments can sometimes inhibit the movement capabilities of diffusive particles or active swimmers, who may thus become stuck in fixed positions. This occurs, for example, in the adhesion of bacteria to surfaces at the initial stage of biofilm formation. Here we analyze the dynamics of active particles in the presence of trapping regions, where irreversible particle immobilization occurs at a fixed rate. By solving the kinetic equations for run-and tumble motion in one space dimension, we give expressions for probability distribution functions, focusing on stationary distributions of blocked particles, and mean trapping times in terms of physical and geometrical parameters. Different extensions of the trapping region are considered, from infinite to cases of semi infinite and finite intervals. The mean trapping time turns out to be simply the inverse of the trapping rate for infinitely extended trapping zones, while it has a nontrivial form in the semi-infinite case and is undefined for finite domains, due to the appearance of long tails in the trapping time distribution. Finally, to account for the subdiffusive behavior observed in the adhesion processes of bacteria to surfaces, we extend the model to include anomalous diffusive motion in the trapping region, reporting the exact expression of the mean-square displacement.
arXiv comment22 pages, 5 figures
References in corpus (23)
- Active Particles in Complex and Crowded Environments
- Statistical Mechanics of Interacting Run-and-Tumble Bacteria
- Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
- Bacterial hopping and trapping in porous media
- Run and tumble particle under resetting: a renewal approach
- Steady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimension
- Diffusion, subdiffusion, and trapping of active particles in heterogeneous media
- Run-and-tumble particle in one-dimensional confining potential: Steady state, relaxation and first passage properties
- Dynamic density shaping of light driven bacteria
- First-passage time of run-and-tumble particles
- Anomalous diffusion and the first passage time problem
- Exact stationary state of a run-and-tumble particle with three internal states in a harmonic trap
- Optimized Diffusion of Run-and-Tumble Particles in Crowded Environments
- Confined run-and-tumble swimmers in one dimension
- Stationary superstatistics distributions of trapped run-and-tumble particles
- Position distribution in a generalised run and tumble process
- Exact position distribution of a harmonically-confined run-and-tumble particle in two dimensions
- Microscopic theory for the diffusion of an active particle in a crowded environment
- Optimal motility strategies for self-propelled agents to explore porous media
- On G-fractional diffusion models in bounded domains
- Subdiffusion with particle immobilization process described by differential equation with Riemann--Liouville type fractional time derivative
- Transport properties of diffusive particles conditioned to survive in trapping environments
- Orthogonal run-and-tumble walks