article · 30/06/2014
From first-passage times of random walks in confinement to geometry-controlled kinetics
Résumé
We present a general theory which allows one to accurately evaluate the mean first-passage time (FPT) for regular random walks in bounded domains, and its extensions to related first-passage observables such as splitting probabilities and occupation times. It is showed that this analytical approach provides a universal scaling dependence of the mean FPT on both the volume of the confining domain and the source-target distance in the case of general scale invariant processes. This analysis is applicable to a broad range of stochastic processes characterized by scale-invariance properties. The full distribution of the FPT can be obtained using similar tools, and displays universal features. This allows to quantify the fluctuations of the FPT in confinement, and to reveal the key role that can be played by the starting position of the random walker. Applications to reaction kinetics in confinement are discussed. (C) 2014 Elsevier B.V. All rights reserved.
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Benichou, O., & Voituriez, R. (2014). From first-passage times of random walks in confinement to geometry-controlled kinetics. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 539(4). https://doi.org/10.1016/j.physrep.2014.02.003@article{Benichou2014_218,
author = {Benichou, O. and Voituriez, R.},
year = {2014},
month = {6},
title = {From first-passage times of random walks in confinement to geometry-controlled kinetics},
journal = {PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS},
volume = {539},
number = {4},
abstract = {We present a general theory which allows one to accurately evaluate the mean first-passage time (FPT) for regular random walks in bounded domains, and its extensions to related first-passage observables such as splitting probabilities and occupation times. It is showed that this analytical approach provides a universal scaling dependence of the mean FPT on both the volume of the confining domain and the source-target distance in the case of general scale invariant processes. This analysis is applicable to a broad range of stochastic processes characterized by scale-invariance properties. The full distribution of the FPT can be obtained using similar tools, and displays universal features. This allows to quantify the fluctuations of the FPT in confinement, and to reveal the key role that can be played by the starting position of the random walker. Applications to reaction kinetics in confinement are discussed. (C) 2014 Elsevier B.V. All rights reserved.},
url = {http://www.dx.doi.org/10.1016/j.physrep.2014.02.003},
doi = {10.1016/j.physrep.2014.02.003},
issn = {0370-1573},
}TY - JOUR
AU - Benichou, O.
AU - Voituriez, R.
PY - 2014
DA - 2014/06/30
TI - From first-passage times of random walks in confinement to geometry-controlled kinetics
JO - PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
VL - 539
IS - 4
SN - 0370-1573
AB - We present a general theory which allows one to accurately evaluate the mean first-passage time (FPT) for regular random walks in bounded domains, and its extensions to related first-passage observables such as splitting probabilities and occupation times. It is showed that this analytical approach provides a universal scaling dependence of the mean FPT on both the volume of the confining domain and the source-target distance in the case of general scale invariant processes. This analysis is applicable to a broad range of stochastic processes characterized by scale-invariance properties. The full distribution of the FPT can be obtained using similar tools, and displays universal features. This allows to quantify the fluctuations of the FPT in confinement, and to reveal the key role that can be played by the starting position of the random walker. Applications to reaction kinetics in confinement are discussed. (C) 2014 Elsevier B.V. All rights reserved.
DO - 10.1016/j.physrep.2014.02.003
UR - http://www.dx.doi.org/10.1016/j.physrep.2014.02.003
ER -