Search efficiency of Brownian and Levy strategies with drift

Speaker
Dr. Vladimir Palyulin
Date
17/02/2013 - 18:00Add to Calendar 2013-02-17 18:00:00 2013-02-17 18:00:00 Search efficiency of Brownian and Levy strategies with drift Problem of target search has a long history. There are many theoretical and experimental works which discuss whether Levy flights, Brownian motion or intermittent search strategy is the most efficient way for a particle or predator to find the target. We introduce a new convenient measure of search efficiency and compute it for Brownian and Levy search with and without potential bias. This measure shows non-trivial behavior which depends on Levy flights exponent, initial distance of a particle from the target and drift velocity. Analytical and numerical results show that either Brownian or Levy flights can be efficient depending on the initial conditions. Cumulative probability to reach a target ever is also calculated. Analytical and numerical results are obtained from fractional Fokker-Planck equation and supported by Monte-Carlo simulations Building 202 room 301 המחלקה לפיזיקה physics.dept@mail.biu.ac.il Asia/Jerusalem public
Place
Building 202 room 301
Abstract

Problem of target search has a long history. There are many theoretical and experimental works which discuss whether Levy flights, Brownian motion or intermittent search strategy is the most efficient way for a particle or predator to find the target. We introduce a new convenient measure of search efficiency and compute it for Brownian and Levy search with and without potential bias. This measure shows non-trivial behavior which depends on Levy flights exponent, initial distance of a particle from the target and drift velocity. Analytical and numerical results show that either Brownian or Levy flights can be efficient depending on the initial conditions. Cumulative probability to reach a target ever is also calculated. Analytical and numerical results are obtained from fractional Fokker-Planck equation and supported by Monte-Carlo simulations

תאריך עדכון אחרון : 14/02/2013