✦ LIBER ✦

Random walks in two-dimensional glass-like environments

✍ Scribed by Beatrix Schulz; Steffen Trimper

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 114 KB
Volume: 256
Category: Article
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00245-5

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✦ Synopsis

The asymptotic behavior of a diffusive particle under the influence of an environment and of a dynamical feedback coupling is considered in the framework of a two-dimensional numerical simulation. The feedback is controlled by a Ž . memory term of strength l. A sufficient negative memory term l -0 offers a superdiffusive behavior with logarithmic Ž . corrections to conventional diffusion, whereas a positive feedback coupling l ) 0 is related to a weak subdiffusion or leads to localization of the particle. The numerical simulations are in agreement with results of a renormalization group approach and of the mode-coupling theory.

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