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Low-noise phase of a two-dimensional active nematic system

Shankar, Suraj and Ramaswamy, Sriram and Marchetti, M. Cristina (2018) Low-noise phase of a two-dimensional active nematic system. In: PHYSICAL REVIEW E, 97 (1).

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Official URL: http://dx.doi.org/10.1103/PhysRevE.97.012707

Abstract

We consider a collection of self-driven apolar particles on a substrate that organize into an active nematic phase at sufficiently high density or low noise. Using the dynamical renormalization group, we systematically study the two-dimensional fluctuating ordered phase in a coarse-grained hydrodynamic description involving both the nematic director and the conserved density field. In the presence of noise, we show that the system always displays only quasi-long-ranged orientational order beyond a crossover scale. A careful analysis of the nonlinearities permitted by symmetry reveals that activity is dangerously irrelevant over the linearized description, allowing giant number fluctuations to persist although now with strong finite-size effects and a nonuniversal scaling exponent. Nonlinear effects from the active currents lead to power-law correlations in the density field, thereby preventing macroscopic phase separation in the thermodynamic limit.

Item Type: Journal Article
Additional Information: Copy right for this article belong to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 02 Mar 2018 15:04
Last Modified: 02 Mar 2018 15:04
URI: http://eprints.iisc.ac.in/id/eprint/58948

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