Critical phenomenon of the order-disorder transition in incompressible active fluids

We study incompressible systems of motile particles with alignment interactions. Unlike their compressible counterparts, in which the order-disorder (i.e., moving to static) transition, tuned by either noise or number density, is discontinuous, in incompressible systems this transition can be contin...

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Bibliographic Details
Published in:New journal of physics 2015-04, Vol.17 (4), p.42002
Main Authors: Chen, Leiming, Toner, John, Lee, Chiu Fan
Format: Article
Language:English
Subjects:
active fluids
active matter
Compressibility
Fluid dynamics
Fluid flow
Incompressible flow
incompressible fluids
Order disorder
phase transition
Phase transitions
Physics
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Summary:We study incompressible systems of motile particles with alignment interactions. Unlike their compressible counterparts, in which the order-disorder (i.e., moving to static) transition, tuned by either noise or number density, is discontinuous, in incompressible systems this transition can be continuous, and belongs to a new universality class. We calculate the critical exponents to in an expansion, and derive two exact scaling relations. This is the first analytic treatment of a phase transition in a new universality class in an active system.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/17/4/042002