Journal
NEW JOURNAL OF PHYSICS
Volume 17, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/17/4/042002
Keywords
active matter; phase transition; incompressible fluids; active fluids
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Funding
- US NSF [EF-1137815, 1006171]
- Simons Foundation [225579]
- National Science Foundation of China [11474354]
- Fundamental Research Funds for the Central Universities [2013XK04]
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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 O (epsilon) in an epsilon = 4 - d 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.
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