Symmetry properties of the large-deviation function of the velocity of a self-propelled polar particle

Details Symmetry properties of the large-deviation function of the velocity of a self-propelled polar particle Symmetry properties of the large-deviation function of the velocity of a self-propelled polar particle

2010-09-29

arxiv.org/abs/1009.5925v3

Phys. Rev. Lett. 106, 118001 (2011)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.106.118001

A geometrically polar granular rod confined in 2-D geometry, subjected to a sinusoidal vertical oscillation, undergoes noisy self-propulsion in a direction determined by its polarity. When surrounded by a medium of crystalline spherical beads, it displays substantial negative fluctuations in its velocity. We find that the large deviation function (LDF) for the normalized velocity is strongly non-Gaussian with a kink at zero velocity, and that the antisymmetric part of the LDF is linear, resembling the fluctuation relation known for entropy production, even when the velocity distribution is clearly non-Gaussian. We extract an analogue of the phase space contraction rate and find that it compares well with an independent estimate based on the persistence of forward and reverse velocities.

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