Random Walk in a Random Environment and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mfrac><mrow><mn>1</mn></mrow><mrow><mi>f</mi></mrow></mfrac></math></span> Noise

E. Marinari; G. Parisi; D. Ruelle; P. Windey

doi:10.1103/PhysRevLett.50.1223

Random Walk in a Random Environment and $\frac{1}{f}$ Noise

E. Marinari, G. Parisi, D. Ruelle, and P. Windey

Phys. Rev. Lett. 50, 1223 – Published 25 April 1983

Abstract

A simple model showing a $\frac{1}{f}$ behavior is proposed. It is argued, on the basis of a scaling argument, that is has ${(\ln f)}^{k}$ corrections. Numerical simulations confirm this picture.

Received 28 December 1982

DOI:https://doi.org/10.1103/PhysRevLett.50.1223

Authors & Affiliations

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