Mesoscopic theory for fluctuating active nematics

Eric Bertin, Hugues Chaté, Francesco Ginelli, Shradha Mishra, Anton Peshkov, Sriram Ramaswamy

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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 Itô 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.
Original languageEnglish
Article number085032
Number of pages27
JournalNew Journal of Physics
Volume15
DOIs
Publication statusPublished - 28 Aug 2013

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inelastic collisions
calculus
kinetic theory
partial differential equations
wavelengths
energy

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Bertin, E., Chaté, H., Ginelli, F., Mishra, S., Peshkov, A., & Ramaswamy, S. (2013). Mesoscopic theory for fluctuating active nematics. New Journal of Physics, 15, [085032]. https://doi.org/10.1088/1367-2630/15/8/085032

Mesoscopic theory for fluctuating active nematics. / Bertin, Eric; Chaté, Hugues; Ginelli, Francesco; Mishra, Shradha; Peshkov, Anton; Ramaswamy, Sriram.

In: New Journal of Physics, Vol. 15, 085032, 28.08.2013.

Research output: Contribution to journalArticle

Bertin, E, Chaté, H, Ginelli, F, Mishra, S, Peshkov, A & Ramaswamy, S 2013, 'Mesoscopic theory for fluctuating active nematics', New Journal of Physics, vol. 15, 085032. https://doi.org/10.1088/1367-2630/15/8/085032
Bertin E, Chaté H, Ginelli F, Mishra S, Peshkov A, Ramaswamy S. Mesoscopic theory for fluctuating active nematics. New Journal of Physics. 2013 Aug 28;15. 085032. https://doi.org/10.1088/1367-2630/15/8/085032
Bertin, Eric ; Chaté, Hugues ; Ginelli, Francesco ; Mishra, Shradha ; Peshkov, Anton ; Ramaswamy, Sriram. / Mesoscopic theory for fluctuating active nematics. In: New Journal of Physics. 2013 ; Vol. 15.
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