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APS » Journals » Phys. Rev. Lett. » Volume 50 » Issue 17
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Phys. Rev. Lett. 50, 1223–1225 (1983)

Random Walk in a Random Environment and 1/f Noise

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E. Marinari
Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, F-91191 Gif-sur-Yvette, France, and Istituto Nazionale di Física Nucleare-Sezione di Roma, Roma, Italia

G. Parisi
Institut des Hautes Etudes Scientifiques, F-91440 Bures-sur-Yvette, France, and Università di Roma II, Tor Vergata, Roma, Italia

D. Ruelle
Institut de Hautes Etudes Scientifiques, F-91440 Bures-sur-Yvette, France

P. Windey
Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, F-91191 Gif-sur-Yvette, France

Received 28 December 1982; published in the issue dated 25 April 1983

A simple model showing a 1/f behavior is proposed. It is argued, on the basis of a scaling argument, that is has (lnf)k corrections. Numerical simulations confirm this picture.

© 1983 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.50.1223
DOI:
10.1103/PhysRevLett.50.1223
PACS:
05.40.+j, 72.70.+m
 
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