DIFFUSIVE PERSISTENCE AND THE SIGN-TIME DISTRIBUTION

Authors
NEWMAN TJ TOROCZKAI Z
Citation
Tj. Newman et Z. Toroczkai, DIFFUSIVE PERSISTENCE AND THE SIGN-TIME DISTRIBUTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 2685-2688
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
3
Year of publication
1998
Part
A
Pages
2685 - 2688
Database
ISI
SICI code
1063-651X(1998)58:3<2685:DPATSD>2.0.ZU;2-L
Abstract
We present a 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 ana lytic formula for theta tin arbitrary spatial dimension d) which we co njecture to be the exact result. Our results are in excellent agreemen t with previous numerical studies. Furthermore, our results indicate a qualitative change in P above d similar or equal to 36, signaling the existence of a sharp change in the ergodic properties of the diffusio n field.