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Updated: Aug 5, 2026

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Optical Trapping of Nanoparticles
Published on: January 15, 2013
Experimental Evidence for Strong Emergent Correlations between Particles in a Switching Trap
Marco Biroli1, Sergio Ciliberto2, Manas Kulkarni3
1LPTMS, CNRS, Université Paris-Sud, Université Paris-Saclay, 91405 Orsay, France.
Physical Review Letters
|July 31, 2026
Summary
This study investigates Brownian particles in harmonic traps with switching stiffness. Remarkably, some particle statistics remain unaffected by fluid interactions, aligning with noninteracting theories.
Area of Science:
- Statistical mechanics
- Soft matter physics
- Complex systems
Background:
- Brownian motion describes random particle movement.
- Harmonic traps confine particles with a spring-like force.
- Switching potentials create dynamic, nonequilibrium systems.
Purpose of the Study:
- To experimentally investigate a system of four two-dimensional Brownian particles.
- To analyze the impact of simultaneously switching trap stiffness on particle behavior.
- To explore the role of hydrodynamic interactions in a driven nonequilibrium system.
Main Methods:
- Utilizing a system of N=4 two-dimensional Brownian particles.
- Confining particles in harmonic traps with stiffness that switches at random Poissonian times.
- Analyzing particle position correlations, extreme value statistics, order statistics, and full counting statistics.
Main Results:
- The system achieves a nonequilibrium stationary state with long-range correlations.
- Certain observable statistics are insensitive to hydrodynamic interactions.
- Experimental results show excellent agreement with noninteracting theory for specific observables.
Conclusions:
- Hydrodynamic interactions do not universally affect all observables in this system.
- Noninteracting theories can accurately describe specific statistical properties.
- The study provides insights into nonequilibrium statistical mechanics and complex particle systems.

