title: Gaussian memory in kinematic matrix theory for self-propellers.
abstract: We extend the kinematic matrix ("kinematrix") formalism [Phys. Rev. E 89, 062304 (2014)], 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.
authors.affiliation: Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA.
authors.forename: Amir
authors.initials: A
authors.lastname: Nourhani
authors.affiliation: Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA and Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA and Department of Chemistry, The Pennsylvania State University, University Park, Pennsylvania 16802, USA.
authors.forename: Vincent H
authors.initials: VH
authors.lastname: Crespi
authors.affiliation: Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA.
authors.forename: Paul E
authors.initials: PE
authors.lastname: Lammert