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DTSTART:19960101T000000 END:STANDARD BEGIN:STANDARD TZNAME:GMT TZOFFSETFROM:+0100 TZOFFSETTO:+0000 DTSTART:19961027T020000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20260629T123746Z DTSTART;VALUE=DATE-TIME:20111012T163000 DTEND;VALUE=DATE-TIME:20111012T173000 SUMMARY:Prof. Matthew Turner (91¸£Àû) TZID:Europe/London UID:20111012-094d439232b9afb20132d44893eb01c5@warwick.ac.uk CREATED:20111005T133158Z DESCRIPTION:The Physics of Swarming Swarming is a non-equilibrium phenome non observed in several animal species\, including insects\, birds\, fis h and mammals. In spite of this our understanding of the process is actu ally remarkably undeveloped. To a physicist the ordering is reminiscent of that found elsewhere in nature\, e.g. in liquid crystals. Most models involve members of a swarm aligning their velocities with those of thei r immediate neighbours’ (plus some noise). However\, both metric-based a nd metric-free versions of these local models have fundamental pathologi es that are frequently overlooked\, e.g. the swarm evaporates in the abs ence of an ad hoc long-range attraction unless confined within an artifi cial box. We discuss how individuals might respond to a projection of th e swarm and argue why this is biologically plausible. A simple class of candidate models then arises naturally in which there is a single additi onal scalar parameter controlling the tendency of all individuals to fly in a direction that is characteristic of the particular projection patt ern that they see. This naturally leads to swarms that remain localized. We identify a surprisingly rich variety of phenotypical behaviour that is reminiscent of birds\, fish and insects. An intriguing emergent prope rty also appears - swarms self-select a particular density at which they are marginally opaque. We argue that this property is seen in bird floc ks. It implies a non-trivial scaling relationship between the swarm dens ity and the number of individuals: [latex]\\rho\\sim N^{-1}[/latex] in 2 D and [latex]\\rho\\sim N^{-1/2}[/latex] in 3D. We argue that some evide nce for such scaling already exists. This model therefore makes several experimentally testable predictions. It may even provide a mechanism for classifying the behaviour of different swarming animals according to th e relative strength of their alignment and projection terms. Finally\, i t would also appear to provide emergent biological fitness\, given that marginal opacity provides for rapid\, long-range information transfer\, another feature not present in local models with diffusive dynamics. LOCATION:PLT CATEGORIES:Departmental Colloquium LAST-MODIFIED:20111005T133158Z ORGANIZER;CN="": END:VEVENT END:VCALENDAR