Nonstationary Generalized TASEP in KPZ and Jamming Regimes

@article{Derbyshev2020NonstationaryGT,
  title={Nonstationary Generalized TASEP in KPZ and Jamming Regimes},
  author={A. E. Derbyshev and A. M. Povolotsky},
  journal={Journal of Statistical Physics},
  year={2020},
  volume={185}
}
We study the model of the totally asymmetric exclusion process with generalized update, which compared to the usual totally asymmetric exclusion process, has an additional parameter enhancing clustering of particles. We derive the exact multiparticle distributions of distances travelled by particles on the infinite lattice for two types of initial conditions: step and alternating ones. Two different scaling limits of the exact formulas are studied. Under the first scaling associated to Kardar… 

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