Stochastic resetting in interacting particle systems: A review

Abstract

We review recent work on systems with multiple interacting-particles having the dynamical feature of stochastic resetting. The interplay of time scales related to inter-particle interactions and resetting leads to a rich behavior, both static and dynamic. The presence of multiple particles also opens up a new possibility for the resetting dynamics itself, namely, that of different particles resetting all together (global resetting) or independently (local resetting). We divide the review on the basis of specifics of reset dynamics (global versus local resetting), and further, on the basis of number (two versus a large number) of interacting particles. We will primarily be dealing with classical systems, and only briefly discuss resetting in quantum systems.

arXiv commentInvited review; Accepted for publication in J Phys A Special Issue "Stochastic Resetting: Theory and Applications;" vs: Close to Published Version, Recent references as "Note added in proof" in the conclusions

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Cited by in corpus (27)

• Generating Entanglement by Quantum Resetting
• Diffusion with two resetting points
• Kuramoto model subject to subsystem resetting: How resetting a part of the system may synchronize the whole of it
• Tight-binding model subject to conditional resets at random times
• Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systems
• Efficiency of a microscopic heat engine subjected to stochastic resetting
• Causality, localization, and universality of monitored quantum walks with long-range hopping
• Manipulating phases in many-body interacting systems with subsystem resetting
• Partial versus total resetting for Lévy flights in d dimensions: similarities and discrepancies
• Control of spatiotemporal chaos by stochastic resetting
• Emerging cost-time Pareto front for diffusion with stochastic return
• Two distinct transitions in a population of coupled oscillators with turnover: desynchronization and stochastic oscillation quenching
• Mean first-encounter times of simultaneous random walkers with resetting on networks
• Drift-diffusive resetting search process with stochastic returns: speed-up beyond optimal instantaneous return
• Emerging correlations between diffusing particles evolving via simultaneous resetting with memory
• Diffusion with stochastic resetting on a lattice
• Stationary-state dynamics of interacting phase oscillators in presence of noise and stochastic resetting
• Stochastic Resetting Mitigates Latent Gradient Bias of SGD from Label Noise
• First-Passage-Time Asymmetry for Biased Run-and-Tumble Processes
• Stationary state of harmonic chains driven by boundary resetting
• Ising Model with Power Law Resetting
• Localization of information driven by stochastic resetting
• Exact fluctuation and long-range correlations in a single-file model under resetting
• Asymptotic limits of transient patterns in a continuous-space interacting particle system
• Experimental evidence for strong emergent correlations between particles in a switching trap
• Optimal detection of quantum states via projective measurements
• Emergence of vertical diversity under disturbance