@article{ISI:000323595200004, abstract = {The term active nematics designates systems in which apolar elongated particles spend energy to move randomly along their axis and interact by inelastic collisions in the presence of noise. Starting from a simple Vicsek-style model for active nematics, we derive a mesoscopic theory, complete with effective multiplicative noise terms, using a combination of kinetic theory and Ito calculus approaches. The stochastic partial differential equations thus obtained are shown to recover the key terms argued in Ramaswamy et al (2003 Europhys. Lett. 62 196) to be at the origin of anomalous number fluctuations and long-range correlations. Their deterministic part is studied analytically, and is shown to give rise to the long-wavelength instability at onset of nematic order (see Shi X and Ma Y 2010 arXiv:1011.5408). The corresponding nonlinear density-segregated band solution is given in a closed form.}, article-number = {085032}, author = {Bertin, Eric and Chate, Hugues and Ginelli, Francesco and Mishra, Shradha and Peshkov, Anton and Ramaswamy, Sriram}, doi = {10.1088/1367-2630/15/8/085032}, issn = {1367-2630}, journal = {NEW JOURNAL OF PHYSICS}, month = {AUG 28}, orcid-numbers = {Chate, Hugues/0000-0002-6098-4094 Peshkov, Anton I/0000-0003-1209-8132 }, researcherid-numbers = {Chate, Hugues/D-2156-2015 Peshkov, Anton I/B-6858-2013 Bertin, Eric/B-9902-2008 Ginelli, Francesco/I-2493-2012}, title = {Mesoscopic theory for fluctuating active nematics}, unique-id = {ISI:000323595200004}, volume = {15}, year = {2013} }