First hitting times between a run-and-tumble particle and a stochastically gated target

Mercado-Vásquez, Gabriel; Boyer, Denis

doi:10.1103/physreve.103.042139

Cited by 12 publications

(9 citation statements)

References 47 publications

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“…These findings point out a close connection between partially absorbing and intermittent boundaries, a connection that has been revealed before in the context of simple diffusion [18] or runand-tumble motion [20]. Eq.…”

Section: The Regime α β R and The Partial Absorption Problemsupporting

confidence: 80%

“…In this case, we could establish a relationship between the target rates, the diffusion coefficient and the effective absorption velocity of the radiation boundary condition. Such equivalence between partially absorbing and dynamical boundaries has been observed in other search processes [18,20], but it does not hold in general. For instance, when the target transition rates are comparable to the inverse diffusion time, the optimal resetting rate exhibits distinctive features, such as a non-monotonic behaviours.…”

Section: Discussionmentioning

confidence: 84%

“…Shortly after, more complex systems in which particles could transit between several conformational states were analyzed [2][3][4][5]. Recently, the topic of gated reactions has recovered interest and has been retaken not only for the problem of a Brownian particle on the infinite line [18], but also in other contexts such as in random walks on networks [19], run-and-tumble motion [20] and diffusion with stochastic resetting in an interval [21].…”

Section: Introductionmentioning

confidence: 99%

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Search of stochastically gated targets with diffusive particles under resetting

Mercado-Vásquez,

Boyer

2021

Preprint

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The effects of Poissonian resetting at a constant rate r on the reaction time between a Brownian particle and a stochastically gated target are studied. The target switches between a reactive state and a non-reactive one. We calculate the mean time at which the particle subject to resetting hits the target for the first time, while the latter is in the reactive state. The search time is minimum at a resetting rate that depends on the target transition rates. When the target relaxation rate is much larger than both the resetting rate and the inverse diffusion time, the system becomes equivalent to a partially absorbing boundary problem. In other cases, however, the optimal resetting rate can be a non-monotonic function of the target rates, a feature not observed in partial absorption. We compute the relative fluctuations of the first hitting time around its mean and compare our results with the ungated case. The usual universal behavior of these fluctuations for resetting processes at their optimum breaks down due to the target internal dynamics.

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Section: The Regime α β R and The Partial Absorption Problemsupporting

confidence: 80%

Section: Discussionmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Search of stochastically gated targets with diffusive particles under resetting

Mercado-Vásquez,

Boyer

2021

Preprint

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“…The mean first passage time, in this case, may not be trivial, especially when the particles start by pointing in the direction of the reflecting boundary. It would also be worthwhile to consider a similar analysis for a domain with partially absorbing boundaries or stochastic switching boundaries, such as those used in [35]. Future work on this topic should also include extending the problem to 2-D and 3-D domains.…”

Section: Discussionmentioning

confidence: 99%

Asymptotic analysis for the mean first passage time in finite or spatially periodic 2D domains with a cluster of small traps

Iyaniwura

Ward

2021

ANZIAMJ

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A hybrid asymptotic-numerical method is developed to approximate the mean first passage time (MFPT) and the splitting probability for a Brownian particle in a bounded two-dimensional (2D) domain that contains absorbing disks, referred to as "traps”, of asymptotically small radii. In contrast to previous studies that required traps to be spatially well separated, we show how to readily incorporate the effect of a cluster of closely spaced traps by adapting a recently formulated least-squares approach in order to numerically solve certain local problems for the Laplacian near the cluster. We also provide new asymptotic formulae for the MFPT in 2D spatially periodic domains where a trap cluster is centred at the lattice points of an oblique Bravais lattice. Over all such lattices with fixed area for the primitive cell, and for each specific trap set, the average MFPT is smallest for a hexagonal lattice of traps. doi:10.1017/S1446181121000018

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“…1(a). This process is distinct from the FPP extensively studied in the context of intermittent search problems [32][33][34][35] or intermittent target problems [36][37][38][39]. In the intermittent search/target problems, the process is terminated only when the searcher is at the target when the searcher/target is "active".…”

mentioning

confidence: 99%

First detection of threshold crossing events under intermittent sensing

Kumar,

Zodage,

Santhanam

2021

Preprint

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The time of the first occurrence of a threshold crossing event in a stochastic process, known as the first passage time, is of interest in many areas of sciences and engineering. Conventionally, there is an implicit assumption that the notional 'sensor' monitoring the threshold crossing event is always active. In many realistic scenarios, the sensor monitoring the stochastic process works intermittently. Then, the relevant quantity of interest is the first detection time, which denotes the time when the sensor detects the threshold crossing event for the first time. In this work, a birthdeath process monitored by a random intermittent sensor is studied, for which the first detection time distribution is obtained. In general, it is shown that the first detection time is related to, and is obtainable from, the first passage time distribution. Our analytical results display an excellent agreement with simulations. Further, this framework is demonstrated in several applicationsthe SIS compartmental and logistic models, and birth-death processes with resetting. Finally, we solve the practically relevant problem of inferring the first passage time distribution from the first detection time.

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First hitting times between a run-and-tumble particle and a stochastically gated target

Cited by 12 publications

References 47 publications

Search of stochastically gated targets with diffusive particles under resetting

Search of stochastically gated targets with diffusive particles under resetting

Asymptotic analysis for the mean first passage time in finite or spatially periodic 2D domains with a cluster of small traps

First detection of threshold crossing events under intermittent sensing

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