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8 papers · 2 filters
Occupation Time Statistics in the Quenched Trap Model
S. Burov, E. Barkai
We investigate the distribution of occupation times for a particle undergoing a random walk among random energy traps and in the presence of a deterministic potential field $U^{\rm…
Fractal and Transfractal Recursive Scale-Free Nets
Hernan D. Rozenfeld, Shlomo Havlin, Daniel ben-Avraham
We explore the concepts of self-similarity, dimensionality, and (multi)scaling in a new family of recursive scale-free nets that yield themselves to exact analysis through renormal…
Unbounded autocatalytic growth on diffusive substrate: the extinction transition
Sasi Moalem, Nadav M. Shnerb
The effect of diffusively correlated spatial fluctuations on the proliferation-extinction transition of autocatalytic agents is investigated numerically. Reactants adaptation to sp…
Strong Correlations Between Fluctuations and Response in Aging Transport
Eli Barkai
Once the problem of ensemble averaging is removed, correlations between the response of a single molecule to an external driving field , with the history of fluctuations of the…
Public-channel cryptography based on mutual chaos pass filters
Einat Klein, Noam Gross, Evi Kopelowitz +4
We study the mutual coupling of chaotic lasers and observe both experimentally and in numeric simulations, that there exists a regime of parameters for which two mutually coupled c…
Fluctuation Induced Instabilities in Front Propagation up a Co-Moving Reaction Gradient in Two Dimensions
C. Scott Wylie, Herbert Levine, David A. Kessler
We study 2D fronts propagating up a co-moving reaction rate gradient in finite number reaction-diffusion systems. We show that in a 2D rectangular channel, planar solutions to the…