article · 13/01/2017
Mean first-passage time of an anisotropic diffusive searcher
Résumé
We consider an anisotropic needle-like Brownian particle with nematic symmetry confined in a 2D domain. For this system, the coupling of translational and rotational diffusion makes the process x(t) of the positions of the particle non Markovian. Using scaling arguments, a Gaussian approximation and numerical methods, we determine the mean first passage time. T. of the particle to a target of radius a and show in particular that. < T > similar to a(-1/2) for a -> 0, in contrast with the classical logarithmic divergence obtained in the case of an isotropic 2D Brownian particle.
Citer cet article
Levernier, N., Benichou, O., & Voituriez, R. (2017). Mean first-passage time of an anisotropic diffusive searcher. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 50(2). https://doi.org/10.1088/1751-8121/50/2/024001@article{Levernier2017_169,
author = {Levernier, N. and Benichou, O. and Voituriez, R.},
year = {2017},
month = {1},
title = {Mean first-passage time of an anisotropic diffusive searcher},
journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL},
volume = {50},
number = {2},
abstract = {We consider an anisotropic needle-like Brownian particle with nematic symmetry confined in a 2D domain. For this system, the coupling of translational and rotational diffusion makes the process x(t) of the positions of the particle non Markovian. Using scaling arguments, a Gaussian approximation and numerical methods, we determine the mean first passage time. T. of the particle to a target of radius a and show in particular that. < T > similar to a(-1/2) for a -> 0, in contrast with the classical logarithmic divergence obtained in the case of an isotropic 2D Brownian particle.},
url = {http://www.dx.doi.org/10.1088/1751-8121/50/2/024001},
doi = {10.1088/1751-8121/50/2/024001},
issn = {1751-8113},
}TY - JOUR
AU - Levernier, N.
AU - Benichou, O.
AU - Voituriez, R.
PY - 2017
DA - 2017/01/13
TI - Mean first-passage time of an anisotropic diffusive searcher
JO - JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
VL - 50
IS - 2
SN - 1751-8113
AB - We consider an anisotropic needle-like Brownian particle with nematic symmetry confined in a 2D domain. For this system, the coupling of translational and rotational diffusion makes the process x(t) of the positions of the particle non Markovian. Using scaling arguments, a Gaussian approximation and numerical methods, we determine the mean first passage time. T. of the particle to a target of radius a and show in particular that. < T > similar to a(-1/2) for a -> 0, in contrast with the classical logarithmic divergence obtained in the case of an isotropic 2D Brownian particle.
DO - 10.1088/1751-8121/50/2/024001
UR - http://www.dx.doi.org/10.1088/1751-8121/50/2/024001
ER -