Geometry-induced fluctuations of olfactory searches in bounded domains

Abstract

In olfactory search an immobile target emits chemical molecules at constant rate. The molecules are transported by the medium which is assumed to be turbulent. Considering a searcher able to detect such chemical signals and whose motion follows the infotaxis strategy, we study the statistics of the first-passage time to the target when the searcher moves on a finite two-dimensional lattice of different geometries. Far from the target, where the concentration of chemicals is low the direction of the searcher's first movement is determined by the geometry of the domain and the topology of the lattice, inducing strong fluctuations on the average search time with respect to the initial position of the searcher. The domain is partitioned in well defined regions characterized by the direction of the first movement. If the search starts over the interface between two different regions, large fluctuations in the search time are observed.

7 pages, 8 figures, typed in revtex

References in corpus (4)

• First passages for a search by a swarm of independent random searchers
• Symmetry breaking between statistically equivalent, independent channels in a few-channel chaotic scattering
• Sampling from naturally truncated power laws: The matchmaking paradox
• Proportionate vs disproportionate distribution of wealth of two individuals in a tempered Paretian ensemble