article · 23/08/2018
Universal first-passage statistics in aging media
Résumé
It has been known for a long time that the kinetics of diffusion-limited reactions can be quantified by the time needed for a diffusing molecule to reach a target: the first-passage time (FPT). So far the general determination of the mean first-passage time to a target in confinement has left aside aging media, such as glassy materials, cellular media, or cold atoms in optical lattices. Here we consider general non-Markovian scale-invariant diffusion processes, which model a broad class of transport processes of molecules in aging media, and demonstrate that all the moments of the FPT obey universal scalings with the confining volume with nontrivial exponents. Our analysis shows that a nonlinear scaling with the volume of the mean FPT, which quantities the mean reaction time, is the hallmark of aging and provides a general tool to quantify its impact on reaction kinetics in confinement.
Citer cet article
Levernier, N., Benichou, O., Guerin, T., & Voituriez, R. (2018). Universal first-passage statistics in aging media. Phys. Rev. E, 98(2). https://doi.org/10.1103/PhysRevE.98.022125@article{Levernier2018_285,
author = {Levernier, N. and Benichou, O. and Guerin, T. and Voituriez, R.},
year = {2018},
month = {8},
title = {Universal first-passage statistics in aging media},
journal = {Phys. Rev. E},
publisher = {AMER PHYSICAL SOC},
volume = {98},
number = {2},
address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA},
abstract = {It has been known for a long time that the kinetics of diffusion-limited reactions can be quantified by the time needed for a diffusing molecule to reach a target: the first-passage time (FPT). So far the general determination of the mean first-passage time to a target in confinement has left aside aging media, such as glassy materials, cellular media, or cold atoms in optical lattices. Here we consider general non-Markovian scale-invariant diffusion processes, which model a broad class of transport processes of molecules in aging media, and demonstrate that all the moments of the FPT obey universal scalings with the confining volume with nontrivial exponents. Our analysis shows that a nonlinear scaling with the volume of the mean FPT, which quantities the mean reaction time, is the hallmark of aging and provides a general tool to quantify its impact on reaction kinetics in confinement.},
url = {http://www.dx.doi.org/10.1103/PhysRevE.98.022125},
doi = {10.1103/PhysRevE.98.022125},
issn = {2470-0045},
}TY - JOUR
AU - Levernier, N.
AU - Benichou, O.
AU - Guerin, T.
AU - Voituriez, R.
PY - 2018
DA - 2018/08/23
TI - Universal first-passage statistics in aging media
JO - Phys. Rev. E
VL - 98
IS - 2
PB - AMER PHYSICAL SOC
SN - 2470-0045
AB - It has been known for a long time that the kinetics of diffusion-limited reactions can be quantified by the time needed for a diffusing molecule to reach a target: the first-passage time (FPT). So far the general determination of the mean first-passage time to a target in confinement has left aside aging media, such as glassy materials, cellular media, or cold atoms in optical lattices. Here we consider general non-Markovian scale-invariant diffusion processes, which model a broad class of transport processes of molecules in aging media, and demonstrate that all the moments of the FPT obey universal scalings with the confining volume with nontrivial exponents. Our analysis shows that a nonlinear scaling with the volume of the mean FPT, which quantities the mean reaction time, is the hallmark of aging and provides a general tool to quantify its impact on reaction kinetics in confinement.
DO - 10.1103/PhysRevE.98.022125
UR - http://www.dx.doi.org/10.1103/PhysRevE.98.022125
ER -