Boltzmann-Type Description with Cutoff of Follow-the-Leader Traffic Models

  title={Boltzmann-Type Description with Cutoff of Follow-the-Leader Traffic Models},
  author={Andrea Tosin and Mattia Zanella},
  journal={arXiv: Physics and Society},
In this paper we consider a Boltzmann-type kinetic description of Follow-the-Leader traffic dynamics and we study the resulting asymptotic distributions, namely the counterpart of the Maxwellian distribution of the classical kinetic theory. In the Boltzmann-type equation we include a non-constant collision kernel, in the form of a cutoff, in order to exclude from the statistical model possibly unphysical interactions. In spite of the increased analytical difficulty caused by this further non… 
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