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Anisotropic active Brownian particle in two dimensions under stochastic resetting
Anirban Ghosh1, Sudipta Mandal2, Subhasish Chaki3
1Raman Research Institute, Amity University, Department of Physics, Amity Institute of Applied Sciences, Kolkata 700135, India and , CV Raman Avenue, Bangaluru 560080, India.
Stochastic resetting of anisotropic active Brownian particles influences their diffusion. Orientational resetting maintains anisotropy, while combined resetting creates complex steady-state distributions, offering control for self-assembly.
Area of Science:
- Soft Matter Physics
- Statistical Mechanics
- Colloidal Science
Background:
- Active Brownian particles exhibit anisotropic diffusion due to shape asymmetry.
- Rotational diffusion typically leads to isotropic transport at longer timescales.
- Stochastic resetting is a technique to control particle trajectories.
Purpose of the Study:
- Investigate the dynamical behavior of anisotropic active Brownian particles under stochastic resetting.
- Analyze the effects of different resetting protocols on particle dynamics and diffusion.
- Explore the interplay between translational and rotational motion with resetting.
Main Methods:
- Theoretical analysis using a renewal approach to calculate mean-square displacements.
- Numerical verification of analytical results.
- Modeling three resetting protocols: complete, position-only, and orientation-only resetting.
Main Results:
- Orientational resetting sustains anisotropy at late times.
- Complete resetting leads to complex steady-state position distributions dependent on initial conditions and resetting rate.
- Position-only resetting eliminates dependence on particle asymmetry, while orientation-only resetting results in a Gaussian distribution with an effective diffusion tensor.
Conclusions:
- The combination of translational and rotational dynamics with stochastic resetting yields unique late-time behaviors in asymmetric particles.
- These findings provide insights for controlling active colloids in applications like self-assembly.
- Stochastic resetting offers a powerful tool to manipulate the dynamics of anisotropic active matter.
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