@article{ISI:000274936300005, 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 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.}, article-number = {P02003}, author = {Mishra, Shradha and Simha, R. Aditi and Ramaswamy, Sriram}, doi = {10.1088/1742-5468/2010/02/P02003}, issn = {1742-5468}, journal = {JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT}, month = {FEB}, times-cited = {20}, title = {A dynamic renormalization group study of active nematics}, unique-id = {ISI:000274936300005}, year = {2010} }