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Controlling Flow Speeds of Microtubule-Based 3D Active Fluids Using Temperature
Published on: November 26, 2019
Hamiltonian Dynamics and Structural States of Two-Dimensional Active Particles
Yuval Shoham1, Naomi Oppenheimer1
1School of Physics and Astronomy and the Center for Physics and Chemistry of Living Systems, Tel Aviv University, Tel Aviv 6997801, Israel.
Abstract:
We show that a two-dimensional system of flocking active particles interacting hydrodynamically can be expressed using a Hamiltonian formalism. The Hamiltonian depends strictly on the angles between the particles and their orientation, thereby restricting their available phase-space. Simulations of co-oriented active particles evolve into "escalators"-sharp lines at a particular tilt along which particles circulate. The conservation of the Hamiltonian and its symmetry germinate the self-assembly of the observed steady-state arrangements as confirmed by stability analysis.
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