Current correlations, Drude weights and large deviations in a box–ball system

  title={Current correlations, Drude weights and large deviations in a box–ball system},
  author={Atsuo Kuniba and Gr{\'e}goire Misguich and Vincent Pasquier},
  journal={Journal of Physics A: Mathematical and Theoretical},
We explore several aspects of the current fluctuations and correlations in the box–ball system, an integrable cellular automaton in one space dimension. The state we consider is an ensemble of microscopic configurations where the box occupancies are independent random variables (i.i.d. state), with a given mean ball density. We compute several quantities exactly in such homogeneous stationary state: the mean value and the variance of the number of balls N t crossing the origin during time t… 



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