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Landauer's blow-torch effect in systems with entropic potential
Moupriya Das1, Deb Shankar Ray1
1Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 15, 2015
Summary
Local heating of Brownian particles in a bilobal enclosure significantly alters their distribution. Targeted heating in specific zones maximizes particle transfer between enclosure lobes, optimizing population shifts.
Area of Science:
- Statistical Physics
- Soft Matter Physics
- Complex Systems
Background:
- Brownian particles confined in enclosures exhibit entropic potentials influenced by geometry.
- Varying cross-sections in higher dimensions induce entropic potentials in lower dimensions.
- Local heating can alter the stability of these entropic states.
Purpose of the Study:
- To investigate the effect of local heating on overdamped Brownian particles in a 2D bilobal enclosure with varying cross-section.
- To analyze how local heating modifies the entropic potential and particle distribution.
- To determine optimal heating strategies for maximizing particle transfer between enclosure lobes.
Main Methods:
- Analytical derivation of the effective entropic potential considering confinement width and temperature variations.
- Full numerical simulations in two dimensions to calculate the reduced probability distribution.
- Quantification of population transfer using integrated probability of residence.
Main Results:
- Local heating significantly modifies the entropic potential, incorporating both confinement and temperature variations.
- Numerical simulations validate the analytical findings for particle distribution.
- Population transfer is highly sensitive to the mean position of the heated region.
- Heating specific zones within a lobe maximizes population transfer to the other lobe.
Conclusions:
- Local heating acts as a 'blow-torch effect', reshaping the entropic landscape for Brownian particles.
- The study provides a method to control particle distribution in confined systems via targeted heating.
- Optimal heating strategies can be designed to maximize inter-lobe population transfer in bilobal enclosures.
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