Effects of target anisotropy on harmonic measure and mean first-passage time

被引：3

作者：

Chaigneau, Adrien ^{[1
]}

Grebenkov, Denis S. ^{[1
]}

机构：

[1] Ecole Polytech, Inst Polytech Paris, Lab Phys Matiere Condensee, CNRS, F-91120 Palaiseau, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2023年 / 56卷 / 23期

关键词：

diffusion-controlled reaction; harmonic measure; mean first-passage time; anisotropy; 1ST PASSAGE TIME; NARROW ESCAPE; ASYMPTOTIC ANALYSIS; PART II; EIGENVALUE; EXPANSIONS; OPERATOR; DOMAINS; RATIO;

D O I：

10.1088/1751-8121/acd313

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the influence of target anisotropy on two characteristics of diffusion-controlled reactions: harmonic measure density and mean first-passage time. First, we compute the volume-averaged harmonic measure density on prolate and oblate spheroidal targets inside a confining domain in three dimensions. This allows us to investigate the accessibility of the target points to Brownian motion. In particular, we study the effects of confinement and target anisotropy. The limits of a segment and a disk are also discussed. Second, we derive an explicit expression of the mean first-passage time to such targets and analyze the effect of anisotropy. In particular, we illustrate the accuracy of the capacitance approximation for small targets.

引用

页数：23

共 40 条

[1] The harmonic measure of diffusion-limited aggregates including rare events [J].