Study of the 1D-biased and 2D ultradiffusion models
- 21 August 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (12) , L721-L725
- https://doi.org/10.1088/0305-4470/19/12/005
Abstract
The authors study, within a renormalisation group scheme, two possible generalisations of a one-dimensional (1D) diffusion model with a hierarchy of energy barriers recently proposed. They consider the same 1D model plus a biasing term and a 2D version of it, In the first case they find, for a suitable value of the biasing force, a new transition in the long-time behaviour of the autocorrelation function. For the 2D model, through an approximate treatment, they obtain the corresponding anomalous exponent which characterises its relational behaviour.Keywords
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