Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 3: Anomalous Diffusion (joint session DY/ CPP)

DY 3.5: Talk

Monday, March 16, 2015, 10:30–10:45, BH-N 334

Optimisation of search efficiency by combination of Levy flights and Brownian motion — •Vladimir V. Palyulin — Physics Department, Technical University of Munich, D-85747 Garching, Germany

Problems of target search occur in a wide range of applications ranging from animals looking for prey to diffusion control of molecular processes. For a long time the field was dominated before by a notion, that Lévy flights with a critical exponent α=1 are optimal. Recently we proved that this statement is not always correct, and often Brownian motion presents a better alternative [1]. In this new study we show that intermittent search, which consists of Lévy flights and Brownian motion presents even better alternative. In order to show that we computed an average of inverse rate of target location, which works as a good measure of search efficiency. Analytical and numerical results are obtained from fractional Fokker-Planck equation and supported by Monte-Carlo simulations.

[1] V.V. Palyulin, A.V. Chechkin and R. Metzler, Proc. Natl. Acad. Sci. USA, 111, 2931 (2014).