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Soft matter, 2016-01, Vol.12 (39), p.8214-8225
2016
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Autor(en) / Beteiligte
Titel
Negative stiffness and modulated states in active nematics
Ist Teil von
  • Soft matter, 2016-01, Vol.12 (39), p.8214-8225
Ort / Verlag
England
Erscheinungsjahr
2016
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
  • We examine the dynamics of an active nematic liquid crystal on a frictional substrate. When frictional damping dominates over viscous dissipation, we eliminate flow in favor of active stresses to obtain a minimal dynamical model for the nematic order parameter, with elastic constants renormalized by activity. The renormalized elastic constants can become negative at large activity, leading to the selection of spatially inhomogeneous patterns via a mechanism analogous to that responsible for modulated phases arising at an equilibrium Lifshitz point. Tuning activity and the degree of nematic order in the passive system, we obtain a linear stability phase diagram that exhibits a nonequilibrium tricritical point where ordered, modulated and disordered phases meet. Numerical solution of the nonlinear equations yields a succession of spatial structures of increasing complexity with increasing activity, including kink walls and active turbulence, as observed in experiments on microtubule bundles confined at an oil-water interface. Our work provides a minimal model for an overdamped active nematic that reproduces all the nonequilibrium structures seen in simulations of the full active nematic hydrodynamics and provides a framework for understanding some of the mechanisms for selection of the nonequilibrium patterns in the language of equilibrium critical phenomena.
Sprache
Englisch
Identifikatoren
ISSN: 1744-683X
eISSN: 1744-6848
DOI: 10.1039/c6sm01493c
Titel-ID: cdi_proquest_miscellaneous_1845796922

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