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Rice, Locusts and Chemical Waves: A Hydrodynamic Theory of Polar Active Smectics

Presented by: 
J Toner University of Oregon
Date: 
Tuesday 25th June 2013 - 16:00 to 16:45
Venue: 
Center for Mathematical Sciences
Abstract: 
We present a hydrodynamic theory of polar active smectics, by which we mean active striped systemsactive systems, both with and without number conservation. For the latter, we find quasi long-ranged smectic order in $d=2$ and long-ranged smectic order in $d=3$. In $d=2$ there is a Kosterlitz-Thouless type phase transition from the smectic phase to the ordered fluid phase driven by increasing the noise strength. For the number conserving case, we find that giant number fluctuations are greatly suppressed by the smectic order; that smectic order is long-ranged in $d=3$; and that nonlinear effects become important in $d=2$.

Co-author: Leiming Chen (The China University of Mining and Technology)

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons