Mishra, Shradha and Simha, R Aditi and Ramaswamy, Sriram (2010) A dynamic renormalization group study of active nematics. In: Journal of Statistical Mechanics: Theory and Experiment .
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We carry out a systematic construction of the coarse-grained dynamical equation of motion for the orientational order parameter for a two-dimensional active nematic, that is a nonequilibrium steady state with uniaxial, apolar orientational order. Using the dynamical renormalization group, we show that the leading nonlinearities in this equation are marginally irrelevant. We discover a special limit of parameters in which the equation of motion for the angle field bears a close relation to the 2d stochastic Burgers equation. We find nevertheless that, unlike for the Burgers problem, the nonlinearity is marginally irrelevant even in this special limit, as a result of a hidden fluctuation-dissipation relation. 2d active nematics therefore have quasi-long-range order, just like their equilibrium counterparts.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Institute of Physics.|
|Keywords:||granular matter; active membranes; self-propelled particles; passive and active self-assembly|
|Department/Centre:||Division of Physical & Mathematical Sciences > Physics|
|Date Deposited:||29 Mar 2010 10:41|
|Last Modified:||19 Sep 2010 05:57|
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