# Diffusion of active chiral particles.

@article{Sevilla2016DiffusionOA, title={Diffusion of active chiral particles.}, author={Francisco J. Sevilla}, journal={Physical review. E}, year={2016}, volume={94 6-1}, pages={ 062120 } }

The diffusion of chiral active Brownian particles in three-dimensional space is studied analytically, by consideration of the corresponding Fokker-Planck equation for the probability density of finding a particle at position x and moving along the direction v[over ̂] at time t, and numerically, by the use of Langevin dynamics simulations. The analysis is focused on the marginal probability density of finding a particle at a given location and at a given time (independently of its direction of…

## 25 Citations

### Two-dimensional active motion.

- PhysicsPhysical review. E
- 2020

The diffusion in two dimensions of noninteracting active particles that follow an arbitrary motility pattern is considered for analysis. A Fokker-Planck-like equation is generalized to take into…

### Correlations and transport in exclusion processes with general finite memory

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2019

We consider the correlations and the hydrodynamic description of persistent random walkers on a lattice. We derive a drift-diffusion equation and identify a memory-dependent critical density. Above…

### Dynamics of sedimenting active Brownian particles

- PhysicsThe European physical journal. E, Soft matter
- 2019

An analytical solution of the Fokker-Planck equation for the stochastic process which allows us to describe the dynamics of one active Brownian particle in three dimensions and addresses the time evolution of the density, the polarization, and the steady-state solution.

### Active chiral particles under confinement: surface currents and bulk accumulation phenomena.

- PhysicsSoft matter
- 2019

This work studies the stationary behavior of an assembly of independent chiral active particles under confinement by employing an extension of the active Ornstein-Uhlenbeck model and provides a semiquantitative description of the current profile in terms of effective viscosity of the chiral gas.

### Active particles in reactive disordered media: how does adsorption affects diffusion?

- Mathematics
- 2021

### Helical paths, gravitaxis, and separation phenomena for mass-anisotropic self-propelling colloids: Experiment versus theory.

- PhysicsThe Journal of chemical physics
- 2017

It is shown that the observed gravitational alignment mechanism and the dependence of the trajectory shape on the angular self-propulsion can be used to separate active colloidal particles with respect to their mass anisotropy and angular self -propulsion, respectively.

### Dynamical density functional theory for circle swimmers

- Engineering
- 2017

The majority of studies on self-propelled particles and microswimmers concentrates on objects that do not feature a deterministic bending of their trajectory. However, perfect axial symmetry is…

### Multiple peaks in the displacement distribution of active random walkers

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2019

We consider a simple model for active random walk with general temporal correlations, and investigate the shape of the probability distribution function of the displacement during a short time…

### Active motion on curved surfaces.

- Physics, MathematicsPhysical review. E
- 2018

A theoretical analysis of active motion on curved surfaces is presented in terms of a generalization of the telegrapher equation, explicitly derived as the polar approximation of the hierarchy of equations obtained from the corresponding Fokker-Planck equation of active particles diffusing on curved surface.

### Collective motion of chiral Brownian particles controlled by a circularly-polarized laser beam.

- PhysicsSoft matter
- 2020

The emergence of circular collective motion in a system of spherical light-propelled Brownian particles is demonstrated and new strategies for optical torque tunability in mesoscopic optical array systems, micro- and nanofabrication of light-activated engines with selective control and collective motion are provided.

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