Diffusive persistence and the "sign-time" distribution

T. J. Newman; Z. Toroczkai

doi:10.1103/PhysRevE.58.R2685

Diffusive persistence and the "sign-time" distribution

T. J. Newman, Z. Toroczkai

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

We present a method for extracting the persistence exponent ? 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 analytic formula for ? (in arbitrary spatial dimension d) which we conjecture to be the exact result. Our results are in excellent agreement with previous numerical studies. Furthermore, our results indicate a qualitative change in P above d = 36, signaling the existence of a sharp change in the ergodic properties of the diffusion field.

Original language	English
Pages (from-to)	R2685-R2688
Number of pages	4
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	58
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.58.R2685
Publication status	Published - 1 Sept 1998

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10.1103/PhysRevE.58.R2685

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Diffusive persistence and the "sign-time" distribution

Abstract

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