Ask a Question

Prefer a chat interface with context about you and your work?

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

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

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