Anisotropic Isometric Fluctuation Relations in experiment and theory on a self-propelled rod
arXiv:1502.04466 · doi:10.1103/PhysRevE.91.030102
Abstract
The Isometric Fluctuation Relation (IFR) [P.I. Hurtado et al., PNAS 108, 7704 (2011)] relates the relative probability of current fluctuations of fixed magnitude in different spatial directions. We test its validity in an experiment on a tapered rod, rendered motile by vertical vibration and immersed in a sea of spherical beads. We analyse the statistics of the velocity vector of the rod and show that they depart significantly from the IFR of Hurtado et al. Aided by a Langevin-equation model we show that our measurements are largely described by an anisotropic generalization of the IFR [R. Villavicencio et al., EPL 105, 30009 (2014)], with no fitting parameters, but with a discrepancy in the prefactor whose origin may lie in the detailed statistics of the microscopic noise. The experimentally determined Large-Deviation Function of the velocity vector has a kink on a curve in the plane.
arXiv comment6 pages, 4 figures
References in corpus (22)
- The large deviation approach to statistical mechanics
- Long-lived Giant Number Fluctuations in a Swarming Granular Nematic
- Stochastic thermodynamics: Principles and perspectives
- Swarming and swirling in self-propelled polar granular rods
- Flocking at a distance in active granular matter
- Nonequilibrium fluctuations in a resistor
- A fluidized granular medium as an instance of the Fluctuation Theorem
- Work fluctuation theorems for harmonic oscillators
- Symmetries in Fluctuations Far from Equilibrium
- Experimental test of the Gallavotti-Cohen fluctuation theorem in turbulent flows
- Symmetry properties of the large-deviation function of the velocity of a self-propelled polar particle
- Fluctuation theorem and large deviation function for a solvable model of a molecular motor
- Fluctuations of internal energy flow in a vibrated granular gas
- Large deviation function for entropy production in driven one-dimensional systems
- Fluctuation and Dissipation in Liquid Crystal Electroconvection
- Some Exact Results for the Exclusion Process
- Estimate of the free energy difference in mechanical systems from work fluctuations: experiments and models
- Nonequilibrium Fluctuation Relation for Sheared Micellar Gel in a Jammed State
- Heat and Fluctuations from Order to Chaos
- Fluctuation relations for anisotropic systems
- Fluctuation relations with intermittent non-Gaussian variables
- Yielding and large deviations in micellar gels: a model
Cited by in corpus (25)
- Active matter
- Hidden entropy production and work fluctuations in an ideal active gas
- Large fluctuations and dynamic phase transition in a system of self-propelled particles
- Origins and diagnostics of the nonequilibrium character of active systems
- Harnessing symmetry to control quantum transport
- Trapping and sorting active particles: motility-induced condensation & smectic defects
- Sorting motile rods by activity
- Active nonreciprocal attraction between motile particles in an elastic medium
- Convergence of large deviation estimators
- Exact symmetries in the velocity fluctuations of a hot Brownian swimmer
- Extreme fluctuations of active Brownian motion
- Mechanochemical fluctuation theorem and thermodynamics of self-phoretic motors
- Work fluctuations of self-propelled particles in the phase separated state
- Weak additivity principle for current statistics in d-dimensions
- The kinetic exclusion process: a tale of two fields
- Spatial fluctuation theorem
- Symmetry-induced fluctuation relations for dynamical observables irrespective of their behaviour under time-reversal
- Dynamical phase transition to localized states in the two-dimensional random walk conditioned on partial currents
- Independent-oscillator model and the quantum Langevin equation for an oscillator: A review
- Local structure of current fluctuations in diffusive systems beyond one dimension
- Infinite family of universal profiles for heat current statistics in Fourier's law
- Generalized fluctuation theorems for classical systems
- Properties of the dissipation functions for passive and active systems
- Structure of the optimal path to a fluctuation
- Fluctuation Relations associated to an arbitrary bijection in path space