Mean-field model for nematic alignment of self-propelled rods

@article{Perepelitsa2022MeanfieldMF,
  title={Mean-field model for nematic alignment of self-propelled rods},
  author={Misha Perepelitsa and Ilya Timofeyev and Patrick Murphy and Oleg A. Igoshin},
  journal={Physical Review E},
  year={2022}
}
In this paper we develop a model for nematic alignment of self-propelled rods interacting through binary collisions. We avoid phenomenological descriptions of rod interaction in favor of rigorously using a set of microscopic-level rules. Under the assumption that each collision results in a small change to a rod’s orientation, we derive the Fokker-Planck equation for the evolution of the kinetic density function. Using analytical and numerical methods, we study the emergence of the nematic… 

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