Related Experiment Video
Updated: Feb 23, 2026
09:16
Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
Published on: January 9, 2017
14.9K
Intermediate scattering function of an anisotropic Brownian circle swimmer
Christina Kurzthaler1, Thomas Franosch
1Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria. thomas.franosch@uibk.ac.at.
Soft Matter
|September 6, 2017
Summary
Microswimmers show noisy circular motion. This study theoretically characterizes their dynamics using the Brownian circle swimmer model and an intermediate scattering function, revealing distinct diffusion and motion regimes.
Area of Science:
- Physics
- Soft Matter Physics
- Statistical Mechanics
Background:
- Microswimmers exhibit complex dynamics, including noisy circular motion.
- This motion arises from factors like asymmetric propulsion, chirality, and surface interactions.
Purpose of the Study:
- To theoretically characterize the dynamics of microswimmers using the Brownian circle swimmer model.
- To analyze dynamics via the intermediate scattering function and identify distinct spatiotemporal regimes.
Main Methods:
- Employed the Brownian circle swimmer model.
- Derived the Fokker-Planck equation for conditional probabilities.
- Obtained an exact solution using generalizations of Mathieu functions.
Main Results:
- Identified three spatiotemporal regimes: bare translational diffusion, persistent circular motion, and enhanced effective diffusion.
- Observed characteristic oscillations in the intermediate scattering function related to circular motion.
Conclusions:
- The Brownian circle swimmer model provides a framework to understand microswimmer dynamics.
- The intermediate scattering function is a key observable for characterizing these dynamics and motion regimes.
Related Concept Videos
01:20Stokes' Law
3.0K
Viscous forces, like friction, are intermolecular forces that resist the relative motion of molecules over each other. When a solid body moves through a liquid, viscous forces drag it in the opposite direction. The force's magnitude depends on the solid's shape and size, as well as its speed and the liquid's coefficient of viscosity, density and temperature.
The expression for the force on a solid spherical object in a fluid is called Stokes' law. Stokes' law is valid only...
The expression for the force on a solid spherical object in a fluid is called Stokes' law. Stokes' law is valid only...
3.0K
01:24Reynolds Transport Theorem
2.0K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
2.0K
01:19Viscosity of Fluid
1.4K
Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
1.4K
01:06Divergence and Stokes' Theorems
3.9K
The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
3.9K