# Self-propelled Brownian spinning top: dynamics of a biaxial swimmer at low Reynolds numbers.

@article{Wittkowski2011SelfpropelledBS, title={Self-propelled Brownian spinning top: dynamics of a biaxial swimmer at low Reynolds numbers.}, author={Raphael Wittkowski and Hartmut L{\"o}wen}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2011}, volume={85 2 Pt 1}, pages={ 021406 } }

Recently the Brownian dynamics of self-propelled (active) rodlike particles was explored to model the motion of colloidal microswimmers, catalytically driven nanorods, and bacteria. Here we generalize this description to biaxial particles with arbitrary shape and derive the corresponding Langevin equation for a self-propelled Brownian spinning top. The biaxial swimmer is exposed to a hydrodynamic Stokes friction force at low Reynolds numbers, to fluctuating random forces and torques as well as…

## 58 Citations

### Time-dependent inertia of self-propelled particles: The Langevin rocket.

- PhysicsPhysical review. E
- 2021

The mean reach of the Langevin rocket is calculated, the effect of time-dependent inertia for achiral and chiral particles is discussed, and several dynamical correlation functions, such as mean-square displacement and orientational and velocity autocorrelation functions, are presented.

### 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…

### 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.

### Brownian motion of arbitrarily shaped particles in two dimensions.

- PhysicsLangmuir : the ACS journal of surfaces and colloids
- 2014

An analytical model based on Langevin theory and measured anisotropic diffusion coefficients indicate that there exists one unique point, i.e., the center of hydrodynamic stress (CoH), at which all coupled diffusion coefficients vanish, which implies that in contrast to motion in three dimensions where the CoH exists only for high-symmetry particles, theCoH always exists for Brownian motion in two dimensions.

### Can the self-propulsion of anisotropic microswimmers be described by using forces and torques?

- EngineeringJournal of physics. Condensed matter : an Institute of Physics journal
- 2015

It is demonstrated here that the equations of motion of microswimmers can be mapped onto those of passive particles with the shape-dependent grand resistance matrix and formally external effective forces and torques.

### Swimming path statistics of an active Brownian particle with time-dependent self-propulsion

- Mathematics
- 2014

Typically, in the description of active Brownian particles, a constant effective propulsion force is assumed, which is then subjected to fluctuations in orientation and translation, leading to a…

### Individual and collective dynamics of self-propelled soft particles

- Physics
- 2014

Deformable self-propelled particles provide us with one of the most important nonlinear dissipative systems, which are related, for example, to the motion of microorganisms. It is emphasized that…

### Phoretic self-propulsion of helical active particles

- ChemistryJournal of Fluid Mechanics
- 2021

Abstract Chemically active colloids self-propel by catalysing the decomposition of molecular ‘fuel’ available in the surrounding solution. If the various molecular species involved in the reaction…

### Active rotational dynamics of a self-diffusiophoretic colloidal motor.

- ChemistrySoft matter
- 2020

The dynamics of a spherical chemically-powered synthetic colloidal motor that operates by a self-diffusiophoretic mechanism and has a catalytic domain of arbitrary shape is studied using both…

### Active Brownian motion with orientation-dependent motility: theory and experiments.

- PhysicsLangmuir : the ACS journal of surfaces and colloids
- 2020

A basic model of active Brownian motion for orientation-dependent motility is proposed and found to induce a significant anisotropy in the particle displacement, mean-square displacement, and non-Gaussian parameter even in the long-time limit.

## References

SHOWING 1-10 OF 96 REFERENCES

### Brownian motion of a self-propelled particle.

- Mathematics
- 2011

Overdamped Brownian motion of a self-propelled particle is studied by solving the Langevin equation analytically. On top of translational and rotational diffusion, in the context of the presented…

### Non-Gaussian behaviour of a self-propelled particle on a substrate

- Physics
- 2009

The overdamped Brownian motion of a self-propelled particle which is driven by a projected internal force is studied by solving the Langevin equation analytically. The “active” particle under study…

### Dynamics of a Brownian circle swimmer.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

This work uses a non-Hamiltonian rate theory and computer simulations to study the motion of a Brownian "circle swimmer" in a confining channel and finds a sliding mode close to the wall leads to a huge acceleration as compared to the bulk motion, which can be enhanced by an optimal effective torque-to-force ratio.

### Numerical study of a microscopic artificial swimmer.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

A detailed numerical study of a microscopic artificial swimmer that consists of an elastic filament composed of superparamagnetic particles that are linked together by DNA strands, which demonstrates that the direction of the swimming velocity changes in a symmetry-breaking transition when the angular amplitude of the field's oscillating direction is increased.

### Clockwise-directional circle swimmer moves counter-clockwise in Petri dish- and ring-like confinements

- Engineering
- 2009

A self-propelled rod which is driven by a constant internal force and torque performs circular motion in two spatial dimensions with an “internal” radius governed by the torque-to-force ratio and is…

### Swimmer-tracer scattering at low Reynolds number

- Physics, Environmental Science
- 2010

Understanding the stochastic dynamics of tracer particles in active fluids is important for identifying the physical properties of flow generating objects such as colloids, bacteria or algae. Here,…

### Rheology of colloidal microphases in a model with competing interactions.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

The role of dislocations, emitted by the bubbles, in the yielding process and the effect of thermal fluctuations on the rheological properties of colloidal microphases are discussed.

### Dynamical density functional theory for anisotropic colloidal particles.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

We generalize the formalism of dynamical density functional theory for translational Brownian dynamics toward that of anisotropic colloidal particles which perform both translational and rotational…

### Aggregation of self-propelled colloidal rods near confining walls.

- EngineeringPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

The nonequilibrium collective behavior of self-propelled colloidal rods in a confining channel is studied using Brownian dynamics simulations and dynamical density functional theory. We observe an…