| Authors: |
C. Loverdo
and O. Benichou
and R. Voituriez
and M. Moreau
|
| Editors: |
Luciano Pietronero
and Vittorio Loreto
and Stefano Zapperi
|
| URL: |
http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=435 |
| Tags: |
first
intermittent
passage
processes
random
search
statphys23
strategies
time
topic-11
walks
|
| Abstract: |
Levy flights are known to be optimal search strategies in the particular case of revisitable targets. In the relevant situation of nonrevisitable targets, we propose an alternative model of two-dimensional 2D search processes, which explicitly relies on the widely observed intermittent behavior of foraging animals. We show analytically that intermittent strategies can minimize the search time, and therefore do constitute real optimal strategies. We study two representative modes of target detection and determine which features of the search time are robust and do not depend on the speci?c characteristics of detection mechanisms. In particular, both modes lead to a global minimum of the search time as a function of the typical times spent in each state, for the same optimal duration of the ballistic phase. This last quantity could be a universal feature of 2D intermittent search strategies.
References :
G.M. Viswanathan, S.V. Buldyrev, S.Havlin, M.G.E. Da Luz, E.P. Raposo et H.E.
Stanley : Optimizing the success of random searches. Nature, 401(6756):911-914, (1999).
O.Benichou, C.Loverdo, M.Moreau et R.Voituriez, A minimal model of intermittent search in dimension two, Journal of Physics : Condensed Matter 19, 065141 (2007)
O.Benichou, C.Loverdo, M.Moreau et R.Voituriez, Two-dimensional intermittent search processes : An alternative to Levy flight strategies Physical Review E 74, 020102 (2006)
This last article has been commented in a news and views in Nature :
M.F. Shlesinger : Mathematical physics : Search research. Nature, 443:281, (2006) |
@incollection{statphys23_0435,
title = {Two-dimensional intermittent search processes: An alternative to Levy flight strategies},
address = {Genova, Italy},
author = {C. Loverdo and O. Benichou and R. Voituriez and M. Moreau},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=435},
year = {2007},
abstract = {Levy flights are known to be optimal search strategies in the particular case of revisitable targets. In the relevant situation of nonrevisitable targets, we propose an alternative model of two-dimensional 2D search processes, which explicitly relies on the widely observed intermittent behavior of foraging animals. We show analytically that intermittent strategies can minimize the search time, and therefore do constitute real optimal strategies. We study two representative modes of target detection and determine which features of the search time are robust and do not depend on the speci?c characteristics of detection mechanisms. In particular, both modes lead to a global minimum of the search time as a function of the typical times spent in each state, for the same optimal duration of the ballistic phase. This last quantity could be a universal feature of 2D intermittent search strategies.
References :
G.M. Viswanathan, S.V. Buldyrev, S.Havlin, M.G.E. Da Luz, E.P. Raposo et H.E.
Stanley : Optimizing the success of random searches. Nature, 401(6756):911-914, (1999).
O.Benichou, C.Loverdo, M.Moreau et R.Voituriez, A minimal model of intermittent search in dimension two, Journal of Physics : Condensed Matter 19, 065141 (2007)
O.Benichou, C.Loverdo, M.Moreau et R.Voituriez, Two-dimensional intermittent search processes : An alternative to Levy flight strategies Physical Review E 74, 020102 (2006)
This last article has been commented in a news and views in Nature :
M.F. Shlesinger : Mathematical physics : Search research. Nature, 443:281, (2006)},
keywords = {first intermittent passage processes random search statphys23 strategies time topic-11 walks }
}
::