Related Experiment Video
Updated: May 7, 2026

Controlling Flow Speeds of Microtubule-Based 3D Active Fluids Using Temperature
Published on: November 26, 2019
Anomalous velocity distributions in active Brownian suspensions
Andrea Fiege1, Benjamin Vollmayr-Lee, Annette Zippelius
1Georg-August-Universität Göttingen, Institut für Theoretische Physik, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany.
Researchers studied randomly accelerated particles using simulations and theory. They found universal, anomalous velocity distributions, suggesting a simplified one-particle model accurately describes particle behavior in suspension.
Area of Science:
- Physics
- Statistical Mechanics
- Nonlinear Dynamics
Background:
- Understanding particle dynamics in suspension is crucial for various fields.
- Previous models often oversimplified the complex interactions and accelerations involved.
Purpose of the Study:
- To determine the nonequilibrium velocity distribution of randomly accelerated particles.
- To develop and validate a theoretical model capturing particle behavior in suspension.
Main Methods:
- Combined large-scale simulations using an event-driven algorithm with friction.
- Developed and analytically solved a one-particle model in the strong damping limit.
Main Results:
- Observed anomalous, universal velocity distributions, independent of particle density and collisions.
- The one-particle model analytically predicted a 1/v decay for velocity distribution, transitioning to Gaussian at high velocities.
Conclusions:
- A simplified one-particle model effectively captures the essential features of particle acceleration in suspension.
- Simulation and analytical results show strong agreement across various damping conditions.
Related Concept Videos
Colloids and Suspensions
Distribution of Molecular Speeds
Maxwell-Boltzmann Distribution: Problem Solving
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
Laminar and Turbulent Flow
Distribution and Dispersion
Surface Tension, Capillary Action, and Viscosity
The various IMFs between identical molecules of a substance are examples of cohesive forces. The molecules within a liquid are surrounded by other molecules and are attracted equally in all directions by the cohesive forces within the liquid. However, the molecules on the surface of a liquid are attracted only by about one-half as many molecules. Because of the unbalanced molecular attractions on the surface molecules, liquids contract to form a shape that minimizes the number...

