Generalized hydrodynamics in box-ball system

@article{Kuniba2020GeneralizedHI,
  title={Generalized hydrodynamics in box-ball system},
  author={Atsuo Kuniba and Gr'egoire Misguich and Vincent Pasquier},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
Box-ball system (BBS) is a prominent example of integrable cellular automata in one dimension connected to quantum groups, Bethe ansatz, ultradiscretization, tropical geometry and so forth. In this paper we study the generalized Gibbs ensemble of BBS soliton gas by thermodynamic Bethe ansatz and generalized hydrodynamics. The results include the solution to the speed equation for solitons, an intriguing connection of the effective speed with the period matrix of the tropical Riemann theta… 

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