Brownian motion of a self-propelled particle.
By B. Hagen, S. Teeffelen, Hartmut Lowen. 2010
262 citations recorded by the source corpus.
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 model, the 'active' particle is driven along its internal orientation axis. We calculate the first four moments of the probability distribution function for displacements as a function of time for a spherical particle with isotropic translational diffusion, as well as for an anisotropic ellipsoidal particle. In both cases the translational and rotational motion is either unconfined or confined to one or two dimensions. A significant non-Gaussian behaviour at finite times t is signalled by a non-vanishing kurtosis γ(t). To delimit the super-diffusive regime, which occurs at intermediate times, two timescales are identified. For certain model situations a characteristic t3 behaviour of the mean-square displacement is observed. Comparing the dynamics of real and artificial microswimmers, like bacteria or catalytically driven Janus particles, to our analytical expressions reveals whether their motion is Brownian or not.
Subfields: Biomedical Engineering, Condensed Matter Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/dee4e919a7afb5525b485a6ec0d0927d78cb3b73
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In Biomedical Engineering
In Condensed Matter Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Tuned, driven, and active soft matter (2015, background): “ self-propulsion signicantly alters an intermediate time regime. For example, nonGaussian displacement statistics can emerge at intermediate times in spite of a Gaussian form of the stochastic noise [444]. These results were conrmed by comparison to experimental systems of self-propelling colloidal ”