Universal first-passage statistics in aging media

被引:27
作者
Levernier, N. [1 ]
Benichou, O. [1 ]
Guerin, T. [2 ]
Voituriez, R. [1 ,3 ]
机构
[1] UPMC, Lab Phys Theor Matiere Condensee, CNRS, 4 Pl Jussieu, F-75005 Paris, France
[2] Univ Bordeaux, Unite Mixte Rech 5798, Lab Ondes & Matiere Aquitaine, CNRS, F-33400 Talence, France
[3] UPMC, Lab Jean Perrin, CNRS, 4 Pl Jussieu, F-75005 Paris, France
关键词
RANDOM-WALKS; LEVY FLIGHTS; 1ST PASSAGE; TIMES; PERSISTENCE; GEOMETRY; DYNAMICS; PARTICLE;
D O I
10.1103/PhysRevE.98.022125
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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.
引用
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页数:20
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