Gaussian memory in kinematic matrix theory for self-propellers

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Abstract

We extend the kinematic matrix ("kinematrix") formalism [Phys. Rev. E 89, 062304 (2014).PLEEE81539-375510.1103/PhysRevE.89.062304], which via simple matrix algebra accesses ensemble properties of self-propellers influenced by uncorrelated noise, to treat Gaussian correlated noises. This extension brings into reach many real-world biological and biomimetic self-propellers for which inertia is significant. Applying the formalism, we analyze in detail ensemble behaviors of a 2D self-propeller with velocity fluctuations and orientation evolution driven by an Ornstein-Uhlenbeck process. On the basis of exact results, a variety of dynamical regimes determined by the inertial, speed-fluctuation, orientational diffusion, and emergent disorientation time scales are delineated and discussed.

Original languageEnglish (US)
Article number062304
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number6
DOIs
StatePublished - Dec 4 2014

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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