• Corpus ID: 214693265

Shock fluctuations in TASEP under a variety of time scalings

@article{Bufetov2020ShockFI,
  title={Shock fluctuations in TASEP under a variety of time scalings},
  author={Alexey Bufetov and Patrik L. Ferrari},
  journal={arXiv: Probability},
  year={2020}
}
We consider the totally asymmetric simple exclusion process (TASEP) with two different initial conditions with shock discontinuities, made by block of fully packed particles. Initially a second class particle is at the left of a shock discontinuity. Using multicolored TASEP we derive an exact formulas for the distribution of the second class particle and colored height functions. These are given in terms of the height function at different positions of a single TASEP configuration. We study the… 

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TLDR
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