Diffusion with partial resetting.

@article{TalFriedman2022DiffusionWP,
  title={Diffusion with partial resetting.},
  author={Ofir Tal-Friedman and Yael Roichman and Shlomi Reuveni},
  journal={Physical review. E},
  year={2022},
  volume={106 5-1},
  pages={
          054116
        }
}
Inspired by many examples in nature, stochastic resetting of random processes has been studied extensively in the past decade. In particular, various models of stochastic particle motion were considered where, upon resetting, the particle is returned to its initial position. Here we generalize the model of diffusion with resetting to account for situations where a particle is returned only a fraction of its distance to the origin, e.g., half way. We show that this model always attains a steady… 
1 Citations

Figures from this paper

References

SHOWING 1-10 OF 40 REFERENCES

A. (2017). Quantum circuits and low-degree polynomials over F_2. Journal of Physics A: Mathematical and Theoretical , 50 .

    The stochastic movements of individual streambed grains

    Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity

    We explore the role of non-ergodicity in the relationship between income inequality, the extent of concentration in the income distribution, and income mobility, the feasibility of an individual to

    Optimal mean first-passage time of a Brownian searcher with resetting in one and two dimensions: experiments, theory and numerical tests

    We experimentally, numerically and theoretically study the optimal mean time needed by a Brownian particle, freely diffusing either in one or two dimensions, to reach, within a tolerance radius R

    Resetting dynamics in a confining potential

    We study Brownian motion in a confining potential under a constant-rate resetting to a reset position x 0. The relaxation of this system to the steady-state exhibits a dynamic phase transition, and

    Modeling active cellular transport as a directed search process with stochastic resetting and delays

    • P. Bressloff
    • Computer Science
      Journal of Physics A: Mathematical and Theoretical
    • 2020
    A probabilistic renewal method is used to explicitly calculate the splitting probabilities and conditional mean first passage times (MFPTs) for capture by a finite array of contiguous targets and shows that both models have the same splitting probabilities, and that increasing the resetting rate r increases (reduces) the splitting probability for proximal (distal) targets.

    Diffusion with resetting in a logarithmic potential.

    It is found that resetting can expedite arrival to the origin when -1 <βU0 < 5, but not when βU0 > 5, and the results presented herein generalize the results for simple diffusion with resetting.

    Mean-performance of sharp restart I: statistical roadmap

    This paper presents a comprehensive mean-performance analysis of sharp restart, and establishes universal criteria that determine when sharp restart improves or worsens mean- performance, i.e., decreases or increases mean first-passage/completion times.

    Experimental Realization of Diffusion with Stochastic Resetting

    The first experimental corroboration of central theoretical results is provided and the energetic cost of resetting in steady-state and first-passage scenarios is measured, showing that this cost cannot be made arbitrarily small because of fundamental constraints on realistic resetting protocols.

    Directed intermittent search with stochastic resetting

    • P. Bressloff
    • Mathematics
      Journal of Physics A: Mathematical and Theoretical
    • 2020
    This work considers the directed intermittent search for one or more targets in a onedimensional domain with stochastic resetting, and calculates the hitting (detection) probability and conditional mean first passage time (MFPT) with and without resetting.