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Stochastically drifted Brownian motion for self-propelled particles

Author

Listed:
  • Baral, Dipesh
  • Lu, Annie C.
  • Bishop, Alan R.
  • Rasmussen, Kim Ø.
  • Voulgarakis, Nikolaos K.

Abstract

Brownian Motion, with some persistence in the direction of motion, typically known as active Brownian Motion, has been observed in many significant chemical and biological transport processes. Here, we present a model of drifted Brownian Motion that considers a nonlinear stochastic drift with constant or fluctuating diffusivity. The interplay between nonlinearity and structural heterogeneity of the environment can explain three essential features of active transport. These features, which are commonly observed in experiments and molecular dynamics simulations, include transient superdiffusion, ephemeral non-Gaussian displacement distribution, and non-monotonic evolution of non-Gaussian parameter. Our results compare qualitatively well with experiments of self-propelled particles in simple hydrogen peroxide solutions and molecular dynamics simulations of self-propelled particles in more complex settings such as viscoelastic polymeric media.

Suggested Citation

  • Baral, Dipesh & Lu, Annie C. & Bishop, Alan R. & Rasmussen, Kim Ø. & Voulgarakis, Nikolaos K., 2024. "Stochastically drifted Brownian motion for self-propelled particles," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009305
    DOI: 10.1016/j.chaos.2024.115378
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    References listed on IDEAS

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    1. U. Erdmann & W. Ebeling & L. Schimansky-Geier & F. Schweitzer, 2000. "Brownian particles far from equilibrium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 15(1), pages 105-113, May.
    2. Toman, Kellan & Voulgarakis, Nikolaos K., 2022. "Stochastic pursuit-evasion curves for foraging dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    3. Minho S. Song & Hyungseok C. Moon & Jae-Hyung Jeon & Hye Yoon Park, 2018. "Neuronal messenger ribonucleoprotein transport follows an aging Lévy walk," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
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