General flux to a trap in one and three dimensions

Abstract

The problem of the flux to a spherical trap in one and three dimensions, for diffusing particles undergoing discrete-time jumps with a given radial probability distribution, is solved in general, verifying the Smoluchowski-like solution in which the effective trap radius is reduced by an amount proportional to the jump length. This reduction in the effective trap radius corresponds to the Milne extrapolation length.

arXiv commentAccepted for publication, in press

References in corpus (2)

• Precise Asymptotics for a Random Walker's Maximum
• Unified Solution of the Expected Maximum of a Random Walk and the Discrete Flux to a Spherical Trap

Cited by in corpus (9)

• Universal First-passage Properties of Discrete-time Random Walks and Levy Flights on a Line: Statistics of the Global Maximum and Records
• Non-crossing run-and-tumble particles on a line
• Record Statistics for Multiple Random Walks
• Capture of particles undergoing discrete random walks
• Maximum of N Independent Brownian Walkers till the First Exit From the Half Space
• Absorbing phase transitions in systems with mediated interactions
• First-passage properties of the jump process with a drift. Two exactly solvable cases
• Variable-step-length algorithms for a random walk: hitting probability and computation performance
• First-passage properties of the jump process with a drift. The general case