Large fluctuation and Lévy movement of an active deformable particle
1 Institute for Research on Earth Evolution, JAMSTEC - Kanazawa-ku, Yokohama, Japan
2 Department of Physics, The University of Tokyo - Hongo, Bunkyo-ku, Tokyo, Japan
Received: 4 February 2013
Accepted: 17 May 2013
We consider random walks of active deformable particles (ADP) that can move by actively deforming their shape from a sphere. A theory is developed by assuming that the equation of velocity includes a coupling with active random deformation. It is shown that the model exhibits a truncated power-law distribution of velocity, whose exponent is determined by the intensity of the random deformation and the strength of the dissipation. Two characteristic variants of the ADP model that have different preferences in the direction of the deformation are investigated in detail.
PACS: 05.40.Fb – Random walks and Levy flights / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 87.17.Jj – Cell locomotion, chemotaxis
© EPLA, 2013