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
Physical Review Letters
Active Brownian motion with directional reversals.
TLDR
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.
TLDR
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
...
1
2
3
4
5
...