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Related Experiment Video

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Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Asymmetric stochastic localization in geometry controlled kinetics.

Debasish Mondal¹, Deb Shankar Ray

¹Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India. juniordebasish@gmail.com

The Journal of Chemical Physics

|November 25, 2011

Summary

We studied Brownian particle motion in a bilobal enclosure. Correlated noise forces broke symmetry, causing particles to favor one lobe due to entropic diffusion.

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Area of Science:

Statistical Physics
Soft Matter Physics

Background:

Brownian motion describes random particle movement.
Confined systems exhibit unique behaviors.
Entropic potentials arise from geometric constraints.

Purpose of the Study:

Investigate Brownian particle dynamics in a 2D bilobal enclosure.
Analyze the effect of correlated additive and multiplicative noise.
Understand symmetry breaking and population localization.

Main Methods:

Simulating Brownian particle motion.
Introducing correlated additive and multiplicative noise forces.
Analyzing stationary state distributions.
Developing a two-state model for entropic diffusion.

Main Results:

Varying enclosure cross-section creates an effective 1D entropic potential.
Correlation between noise forces breaks entropic stability symmetry.
Particles exhibit asymmetric population localization in the two lobes.
The two-state model successfully explains the observed asymmetry.

Conclusions:

Correlated noise is crucial for controlling particle distribution in confined systems.
Entropic diffusion can lead to symmetry breaking and asymmetric localization.
This work provides insights into manipulating particle behavior in complex environments.