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• W4384564689 startingPage "129027" @default.
• W4384564689 abstract "We explore the effects of stochastic resetting to random positions of a Brownian particle on first passage times and Shannon's entropy. We explore the different entropy regimes, namely, the textit{externally-driven}, the textit{zero-entropy} and the textit{Maxwell demon} regimes. We show that the mean first passage time (MPFT) minimum can be found in any of these regimes. We provide a novel analytical method to compute the MFPT, the mean first passage number of resets (MFPNR) and mean first passage entropy (MFPE) in the case where the Brownian particle resets to random positions sampled from a set of distributions known textit{a priori}. We show the interplay between the reset position distribution's second moment and the reset rate, and the effect it has on the MFPT and MFPE. We further propose a mechanism whereby the entropy per reset can be either in the Maxwell demon or the externally driven regime, yet the overall mean first passage entropy corresponds to the zero-entropy regime. Additionally, we find an overlap between the dynamic phase space and the entropy phase space. We use this method in a generalized version of the Evans-Majumdar model by assuming the reset position is random and sampled from a Gaussian distribution. We then consider the textit{toggling reset} whereby the Brownian particle resets to a random position sampled from a distribution dependent on the reset parity. All our results are compared to and in agreement with numerical simulations." @default.
• W4384564689 created "2023-07-18" @default.
• W4384564689 creator A5054961936 @default.
• W4384564689 creator A5070885245 @default.
• W4384564689 date "2023-09-01" @default.
• W4384564689 modified "2023-10-03" @default.
• W4384564689 title "First passage time and information of a one-dimensional Brownian particle with stochastic resetting to random positions" @default.
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• W4384564689 doi "https://doi.org/10.1016/j.physa.2023.129027" @default.
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