Emergent Isotropic-Nematic Transition in 3D Semiflexible Active Polymers

Twan Hooijschuur, Ehsan Irani, Antoine Deblais, Sara Jabbari-Farouji

Published: 2025/9/25

Abstract

Active semiflexible filament collectives, ranging from motor-driven cytoskeletal filaments to slender organisms such as cyanobacteria and worm aggregates, abound in nature, yet how activity and flexibility jointly govern their organization, especially Isotropic-nematic (I-N) transition, remains poorly understood. Using large-scale Brownian dynamics simulations of 3D active semiflexible polymers with varying flexibility degrees, we show that tangential active forces systematically shift the I-N transition to higher densities, with the shift controlled by the flexibility degree and activity strength. Strikingly, activity alters the nature of the transition: discontinuous at low strengths, continuous at moderate strengths, and ultimately suppressed at high activity levels. At high densities, this suppression generates an active nematic state, sustained by continuous defect creation and annihilation but lacking global order. The delayed I-N transition originates from enhanced collective bending fluctuations, which reduce the effective persistence length and enlarge the effective confinement tube. At moderate activity levels, these fluctuations trigger large-scale excitations that stochastically drive temporal transitions between nematic and isotropic states. We summarize this behavior in non-equilibrium state diagrams of density and activity for different flexibility degrees.

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