Diffusive persistence and the `sign-time' distribution

Preprint

29 April 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9804160

Abstract

We present a new method for extracting the persistence exponent theta for the diffusion equation, based on the distribution P of `sign-times'. With the aid of a numerically verified Ansatz for P we derive an exact formula for theta in arbitrary spatial dimension d. Our results are in excellent agreement with previous numerical studies. Furthermore, our results indicate a qualitative change in P above d ~ 36, signalling the existence of a sharp change in the ergodic properties of the diffusion field.

Keywords

DISTRIBUTION WE PRESENT
METHOD FOR EXTRACTING
DIFFUSIVE PERSISTENCE
PERSISTENCE EXPONENT
ERGODIC PROPERTIES
SIGN TIMES
DIFFUSION

All Related Versions

Version 1, 1998-04-15, ArXiv
Version 2, 1998-04-29, ArXiv
Published version: Physical Review E, 58 (3), R2685.

This publication has 0 references indexed in Scilit: