Buckling transition of a semiflexible filament in extensional flow | Zendy

Harishankar Manikantan | Zendy; David Saintillan | Zendy

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Buckling transition of a semiflexible filament in extensional flow

Author(s) -

Harishankar Manikantan,

David Saintillan

Publication year - 2015

Publication title -

physical review e

Language(s) - English

Resource type - Journals

eISSN - 1550-2376

pISSN - 1539-3755

DOI - 10.1103/physreve.92.041002

Subject(s) - buckling , instability , bifurcation , mechanics , elastic instability , elasticity (physics) , amplitude , thermal fluctuations , extensional definition , protein filament , monotonic function , supercritical fluid , statistical physics , materials science , physics , classical mechanics , nonlinear system , mathematics , condensed matter physics , geology , thermodynamics , mathematical analysis , quantum mechanics , composite material , paleontology , tectonics

An analytical expression for the fluctuation-rounded stretch-coil transition of semiflexible polymers in extensional flows is derived. The competition between elasticity and tension is known to cause a buckling instability in filaments placed near hyperbolic stagnation points and the effect of thermal fluctuations on this transition has yet to receive full quantitative treatment. Motivated by the findings of recent experiments as well as our simulations, we solve for the amplitude of the first buckled mode near the onset of the instability. This reveals a stochastic supercritical bifurcation, which is in excellent agreement with full numerical simulations.

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