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Related Experiment Video

Updated: May 29, 2026

Robotic Mirror Therapy System for Functional Recovery of Hemiplegic Arms

Robotic Mirror Therapy System for Functional Recovery of Hemiplegic Arms

Published on: August 15, 2016

Active motion assisted by correlated stochastic torques.

Christian Weber¹, Paul K Radtke, Lutz Schimansky-Geier

¹Institute of Physics, Humboldt University at Berlin, Newtonstr 15, D-12489 Berlin, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 27, 2011

Summary

This summary is machine-generated.

This study investigates active particle dynamics under fluctuating torque. Correlated noise enhances particle trajectory persistence and diffusion, revealing a nonmonotonic relationship between diffusion and noise characteristics.

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Method to Measure Tone of Axial and Proximal Muscle

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Last Updated: May 29, 2026

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Method to Measure Tone of Axial and Proximal Muscle

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Published on: December 14, 2011

Area of Science:

Physics
Statistical Mechanics
Soft Matter Physics

Background:

Active particles exhibit complex dynamics influenced by internal and external forces.
Understanding trajectory persistence and diffusion is crucial for active matter systems.

Purpose of the Study:

To investigate the stochastic dynamics of an active particle driven by constant speed and fluctuating torque.
To analyze the impact of correlated random torques, modeled via Ornstein-Uhlenbeck process, on particle motion.

Main Methods:

Stochastic differential equations were used to model the angular dynamics.
The Ornstein-Uhlenbeck process characterized the correlated random torques with a specific correlation time.
Mean square displacement was analyzed as a function of correlation time and noise intensity.

Main Results:

Nonvanishing correlations in torque lead to persistent particle trajectories.
A nonmonotonic dependence of the effective diffusion coefficient was observed with respect to correlation time and noise strength.
Maximal diffusion occurs when correlated noise straightens trajectories, amplifying the effect of constant torque.

Conclusions:

Correlated angular noise significantly impacts active particle diffusion and trajectory persistence.
The interplay between constant and correlated torques can lead to enhanced diffusion phenomena.
This research provides insights into controlling and predicting the movement of active particles in complex environments.