The European Physical Journal Special Topics

, Volume 224, Issue 7, pp 1215–1229 | Cite as

Motion of Euglena gracilis: Active fluctuations and velocity distribution

  • P. Romanczuk
  • M. Romensky
  • D. Scholz
  • V. Lobaskin
  • L. Schimansky-Geier
Regular Article
Part of the following topical collections:
  1. Statistical Physics of Self-Propelled Particles

Abstract

We study the velocity distribution of unicellular swimming algae Euglena gracilis using optical microscopy and active Brownian particle theory. To characterize a peculiar feature of the experimentally observed distribution at small velocities we use the concept of active fluctuations, which was recently proposed for the description of stochastically self-propelled particles [Romanczuk, P. and Schimansky-Geier, L., Phys. Rev. Lett. 106, 230601 (2011)]. In this concept, the fluctuating forces arise due to internal random performance of the propulsive motor. The fluctuating forces are directed in parallel to the heading direction, in which the propulsion acts. In the theory, we introduce the active motion via the depot model [Schweitzer, et al., Phys. Rev. Lett. 80(23), 5044 (1998)]. We demonstrate that the theoretical predictions based on the depot model with active fluctuations are consistent with the experimentally observed velocity distributions. In addition to the model with additive active noise, we obtain theoretical results for a constant propulsion with multiplicative noise.

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Copyright information

© EDP Sciences and Springer 2015

Authors and Affiliations

  • P. Romanczuk
    • 1
    • 2
  • M. Romensky
    • 3
  • D. Scholz
    • 4
  • V. Lobaskin
    • 5
  • L. Schimansky-Geier
    • 6
  1. 1.Department of Ecology and Evolutionary BiologyPrinceton UniversityPrincetonUSA
  2. 2.Thaer-InstituteHumboldt Universität zu BerlinBerlinGermany
  3. 3.Department of MathematicsUppsala UniversityUppsalaSweden
  4. 4.Conway InstituteUniversity College DublinBelfield, Dublin 4Ireland
  5. 5.School of Physics, Complex and Adaptive Systems LabUniversity College DublinBelfield, Dublin 4Ireland
  6. 6.Department of PhysicsHumboldt Universität zu BerlinBerlinGermany

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