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Updated: Jul 19, 2026

Motility of Single Molecules and Clusters of Bi-Directional Kinesin-5 Cin8 Purified from S. cerevisiae Cells
Published on: February 2, 2022
Nonequilibrium clustering of self-propelled rods
Fernando Peruani1, Andreas Deutsch, Markus Bär
1Max Planck Institute for Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany.
Active, self-propelled rods aggregate when their packing fraction or aspect ratio is high. A mean-field model accurately predicts the transition to clustering, showing a relationship between aspect ratio and packing fraction.
Area of Science:
- Physics
- Biophysics
- Materials Science
Background:
- Collective motion is observed in biological systems, such as gliding bacteria.
- Understanding particle interactions is key to explaining aggregation phenomena.
Purpose of the Study:
- To investigate collective motion and aggregation in a 2D model of active, self-propelled rods.
- To determine the factors influencing particle clustering.
Main Methods:
- Simulations of individual particles with volume exclusion.
- Development of a mean-field model for cluster size distribution.
Main Results:
- Particle clustering is facilitated by high packing fraction (eta) or length-to-width ratio (kappa).
- The transition to clustering is accurately predicted by the mean-field model.
- A specific relationship (kappac = C*eta^-1) was found for transition aspect ratios.
Conclusions:
- Packing fraction and aspect ratio are critical parameters for rod-like particle aggregation.
- The mean-field model provides a robust framework for understanding collective motion transitions.
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