Symmetry-Breaking Motility

Details Symmetry-Breaking Motility Symmetry-Breaking Motility

2004-07-28

arxiv.org/abs/cond-mat/0407741v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, REVTeX; formatting of references corrected

Scientific paper

10.1103/PhysRevLett.95.138101

Locomotion of bacteria by actin polymerization, and in vitro motion of spherical beads coated with a protein catalyzing polymerization, are examples of active motility. Starting from a simple model of forces locally normal to the surface of a bead, we construct a phenomenological equation for its motion. The singularities at a continuous transition between moving and stationary beads are shown to be related to the symmetries of its shape. Universal features of the phase behavior are calculated analytically and confirmed by simulations. Fluctuations in velocity are shown to be generically non-Maxwellian and correlated to the shape of the bead.

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