# Dominance of extreme statistics in a prototype many-body Brownian ratchet

Source: [Dominance of extreme statistics in a prototype many-body Brownian ratchet](<https://www.sota2.com/research/paper/68fa2dd71e209131ce85d09c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T16:31:31.017Z

Authors: Evan Hohlfeld, Phillip L. Geissler

Published: 2012-04-09T06:11:15.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1204.1804>)

[PDF](<https://arxiv.org/pdf/1204.1804.pdf>)