Crossover scaling functions in the asymmetric avalanche process

@article{Trofimova2021CrossoverSF,
  title={Crossover scaling functions in the asymmetric avalanche process},
  author={A A Trofimova and A. M. Povolotsky},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2021},
  volume={55}
}
We consider the particle current in the asymmetric avalanche process on a ring. It is known to exhibit a transition from the intermittent to continuous flow at the critical density of particles. The exact expressions for the first two scaled cumulants of the particle current are obtained in the large time limit t → ∞ via the Bethe ansatz and a perturbative solution of the TQ-equation. The results are presented in an integral form suitable for the asymptotic analysis in the large system size… 

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