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Communication: Dominance of extreme statistics in a prototype many-body Brownian ratchet
1. D. Bray, Cell Movements: From Molecules to Motility, 2nd ed. (Garland Publishing, New York, 2001).
18.Setting the base of each filament at the same height, so that all filament sub-lattices lie in register, results in qualitatively different kinetics. For instance, the steady drift velocity v determined from simulations grows as N increases but saturates well below its kinetic limit of kona.
19.Note that P describes an ensemble of N-filament ratchets with uniformly distributed lattice alignments. For small N, the dynamics depends strongly on the relative alignment of filaments; our approach averages over these alignments.
20.Using the balance with the MF boundary condition and the velocity relation , we compute , which is large when D ≪ v3/2.
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Many forms of cell motility rely on Brownian ratchet mechanisms that involve multiple stochastic processes. We present a computational and theoretical study of the nonequilibrium statistical dynamics of such a many-body ratchet, in the specific form of a growing polymer
gel that pushes a diffusing obstacle. We find that oft-neglected correlations among constituent filaments impact steady-state kinetics and significantly deplete the gel's density within molecular distances of its leading edge. These behaviors are captured quantitatively by a self-consistent theory for extreme fluctuations in filaments' spatial distribution.
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