# Brownian motion under intermittent harmonic potentials

@article{Santra2021BrownianMU, title={Brownian motion under intermittent harmonic potentials}, author={Ion Santra and Santanu Das and Sujit Kumar Nath}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2021}, volume={54} }

We study the effects of an intermittent harmonic potential of strength μ = μ 0 ν—that switches on and off stochastically at a constant rate γ, on an overdamped Brownian particle with damping coefficient ν. This can be thought of as a realistic model for realisation of stochastic resetting. We show that this dynamics admits a stationary solution in all parameter regimes and compute the full time dependent variance for the position distribution and find the characteristic relaxation time. We find…

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## References

SHOWING 1-10 OF 88 REFERENCES

A: Math

- Theor. 52 01LT01
- 2019

Active Brownian motion with directional reversals.

- Medicine, PhysicsPhysical review. E
- 2021

Active Brownian motion with intermittent direction reversals in bacteria like Myxococcus xanthus and Pseudomonas putida is shown to show a crossover from a strongly nondiffusive and anisotropic behavior at short times to a diffusive isotropic behavior via an intermediate regime.

Mean perimeter and area of the convex hull of a planar Brownian motion in the presence of resetting.

- Medicine, PhysicsPhysical review. E
- 2021

The exact results indicate that the convex hull, in the presence of resetting, approaches a circular shape at late times due to the isotropy of the Brownian motion.

S

- Sabhapandit, arXiv:2101.11327
- 2021

arXiv preprint

- arXiv:2101.11327
- 2021

- 2020

- Phys. Rev. E
- 2020

A: Math

- Theor. 53, 115003
- 2020

A: Math

- Theor. 53, 355001
- 2020