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Acceleration of diffusion in randomly switching potential with supersymmetry
Alexander A Dubkov1, Bernardo Spagnolo
1Radiophysics Department, Nizhni Novgorod State University, 23 Gagarin Ave., 603950 Nizhni Novgorod, Russia. dubkov@rf.unn.ru
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
Summary
We studied Brownian motion in a special potential, finding it can accelerate diffusion. This controlled diffusion enhancement could be useful in various applications.
Area of Science:
- Statistical physics
- Complex systems
Background:
- Brownian motion describes random particle movement.
- Supersymmetric potentials offer unique energy landscapes.
Purpose of the Study:
- Investigate Brownian motion in a switched supersymmetric periodic potential.
- Determine how potential switching affects diffusion.
Main Methods:
- Reduced effective diffusion coefficient calculation to mean first passage time problem.
- Derived general equations for arbitrary supersymmetric potentials.
- Obtained exact expressions for sawtooth potentials.
Main Results:
- Found diffusion acceleration compared to free diffusion.
- Observed finite net diffusion even without thermal noise.
- Demonstrated potential for diffusion enhancement via parameter tuning.
Conclusions:
- Supersymmetric potentials with Markovian switching can control diffusion.
- This system offers a method to enhance diffusion beyond free diffusion.
- Potential applications exist for engineered diffusion enhancement.