Universal first-passage statistics in aging media
VOITURIEZ, R.
Laboratoire de Physique Théorique de la Matière Condensée [LPTMC]
Laboratoire Jean Perrin [LJP]
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Laboratoire de Physique Théorique de la Matière Condensée [LPTMC]
Laboratoire Jean Perrin [LJP]
Language
en
Article de revue
This item was published in
Physical Review E. 2018, vol. 98, n° 2, p. 022125
American Physical Society (APS)
English 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 ...Read more >
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.Read less <
Origin
Hal imported