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Modeling and Imaging 3-Dimensional Collective Cell Invasion
07:08

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Published on: December 7, 2011

Swarming in three dimensions.

Jessica Strefler1, Udo Erdmann, Lutz Schimansky-Geier

  • 1Institut für Physik, Humboldt-Universität Berlin, Newtonstrasse 15, 12489 Berlin, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2008
PubMed
Summary
This summary is machine-generated.

Active Brownian particles exhibit two distinct motion modes: translation and rotation. Noise-induced transitions between these states create hysteresis and persistent switching, impacting particle dynamics.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Non-equilibrium Systems

Background:

  • Active Brownian particles (ABPs) are fundamental models for self-propelled entities in non-equilibrium systems.
  • Understanding phase transitions and emergent behaviors in ABPs is crucial for fields like active matter and biophysics.
  • The interplay between particle interactions and external noise dictates system dynamics.

Purpose of the Study:

  • To investigate the dynamics of three-dimensional active Brownian particles with Morse-type interactions.
  • To characterize noise-induced transitions between translational and rotational motion modes.
  • To analyze the resulting hysteresis and persistent switching phenomena.

Main Methods:

  • Simulations of a 3D model of active Brownian particles.
  • Analysis of particle trajectories to identify distinct motion modes (translation and coherent rotation).
  • Investigation of noise-induced transitions and hysteresis by varying noise intensity.

Main Results:

  • The system exhibits two primary motion modes: translation and coherent rotation in a torus-like structure.
  • Noise-induced transitions between these modes occur at different noise intensities, leading to a hysteresis loop.
  • For specific parameters, persistent switching between states causes the center of mass to alternate between ballistic and diffusive motion.
  • A pronounced mean angular momentum arises from coherent rotation, with its direction diffusing over time.

Conclusions:

  • The 3D active Brownian particle model with Morse potential displays rich dynamical behavior, including noise-induced phase transitions and hysteresis.
  • Persistent switching between translational and rotational states leads to complex center-of-mass dynamics.
  • The study provides insights into the fundamental mechanisms governing active matter systems and their response to noise.