To reset, or not to reset!

Stochastic resetting [1] can either accelerate or delay a dynamical process that takes a random time to complete (i.e., a first-passage process). Tuning the physical governing parameters can invert such effect of resetting on the mean completion time of the process, leading to a resetting transition. In this talk, I shall first explore the exact conditions where stochastic resetting accelerates diffusive transport for a couple of analytically tractable systems [2-3]. Based on the common features that these model systems show, a general framework can be proposed that reveals that when thermal energy dominates the dynamics (or when the process is diffusion-controlled) resetting can, in principle, expedite it [4]. This trend holds even beyond homogeneous diffusion [5-6]. Finally, I shall explain how stochastic resetting can be implemented as a useful strategy to enhance the rate of a gated diffusive transport without compromising on its selectivity [7].

References:

[1] M. R. Evans, S. N. Majumdar, and G. Schehr, J. Phys. A: Math. Theor. 53, 193001 (2020).

[2] S. Ray, D. Mondal and S. Reuveni, J. Phys. A: Math. Theor. 52, 255002 (2019).

[3] S. Ray and S. Reuveni, J. Chem. Phys. 152, 234110, (2020).

[4] S. Ray and S. Reuveni, J. Chem. Phys. (Comm.) 154, 171103, (2021).

[5] S. Ray, J. Chem. Phys. 153, 234904, (2020).

[6] S. Ray, Phys. Rev. E 106, 034133, (2022).

[7] A. Biswas, A. Pal, D. Mondal, and S. Ray, J. Chem. Phys. accepted, (2023) [available at arXiv:2304.10605].