# Current statistics in the q-boson zero range process

@article{Trofimova2020CurrentSI, title={Current statistics in the q-boson zero range process}, author={A. A. Trofimova and A. M. Povolotsky}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2020}, volume={53} }

We obtain exact formulas of the first two cumulants of particle current in the q-boson zero range process on a ring via exact perturbative solution of the TQ-equation. The result is represented as an infinite sum of double contour integrals. We perform the asymptotic analysis of the large system size limit N → ∞ of the expressions obtained. For |q| ≠ 1 the leading terms of the second cumulant reproduce the N 3/2 scaling expected for models in the Kardar–Parisi–Zhang universality class. The…

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