Generalized scaling in nonscaling diffusion

Scaling diffusion 〈r2(t)〉∼tα is usually observed only as an asymptotic for large or for small times t. Using a toy model it is shown that for intermediate times (when the scaling relationship 〈r2(t)〉∼tα does not take place) the generalized scaling 〈rp(t)〉∼〈r(t)〉χ(p) can still take place and χ(p)=pγ. It is also shown that for α>1 (in the large time asymptotic) the exponent γ increases with α in the interval 1⩽γ⩽2.

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Year of publication:	2000
Authors:	Bershadskii, A.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 278.2000, 3, p. 497-503
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011059671