Related Experiment Video
Updated: Jul 15, 2025

Controlling Flow Speeds of Microtubule-Based 3D Active Fluids Using Temperature
Published on: November 26, 2019
Control of Active Brownian Particles: An Exact Solution.
Marco Baldovin1,2, David Guéry-Odelin3, Emmanuel Trizac1,4
1Université Paris-Saclay, CNRS, LPTMS, 91405, Orsay, France.
Researchers developed control methods for out-of-equilibrium systems, specifically active Brownian particles. This study provides new techniques for controlling complex systems in statistical physics.
Area of Science:
- Statistical Physics
- Soft Matter Physics
Background:
- Controlling stochastic systems is crucial for applications in biology and materials science.
- Most research focuses on equilibrium systems, leaving out-of-equilibrium dynamics less understood.
- Active Brownian particles (ABPs) model self-propelled entities like bacteria.
Purpose of the Study:
- To develop control protocols for a 2D active Brownian particle system in a harmonic potential.
- To transition the system from a passive-like steady state to an active-like steady state.
- To explore control strategies for genuinely out-of-equilibrium systems.
Main Methods:
- Investigated a 2D active Brownian particle model within a harmonic potential.
- Analyzed control protocols by adjusting potential stiffness and particle activity.
- Derived exact analytical results for the system dynamics.
Main Results:
- Identified specific driving parameter protocols to achieve the desired state transition.
- Demonstrated the feasibility of controlling out-of-equilibrium ABPs.
- Obtained analytical solutions for this prototypical self-propelled particle model.
Conclusions:
- Developed novel control techniques applicable to a broader range of out-of-equilibrium systems.
- The findings advance the understanding and control of active matter.
- This work bridges statistical physics and complex system control.
Related Concept Videos
Equilibrium Conditions for a Particle
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
First Law: Particles in One-dimensional Equilibrium
First Law: Particles in Two-dimensional Equilibrium
Newton's first law tells us about...
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
Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving
Passive Diffusion: Overview and Kinetics
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...

