Mishra, Shradha ; Aditi Simha, R. ; Ramaswamy, Sriram (2010) A dynamic renormalization group study of active nematics Journal of Statistical Mechanics: Theory and Experiment, 2010 (2). 02003_1-02003_31. ISSN 1742-5468
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Official URL: http://iopscience.iop.org/1742-5468/2010/02/P02003
Related URL: http://dx.doi.org/10.1088/1742-5468/2010/02/P02003
Abstract
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 of 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: | Article |
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Source: | Copyright of this article belongs to Institute of Physics. |
Keywords: | Granular Matter; Self-propelled Particles; Active Membranes; Passive and Active Self-assembly |
ID Code: | 40165 |
Deposited On: | 21 May 2011 11:03 |
Last Modified: | 17 May 2016 22:21 |
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