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 function, an explicit description of the density plateaux that emerge from domain wall initial conditions including their diffusive corrections.

中文翻译：

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框球系统中的广义流体力学

Box-ball系统（BBS）是一维可集成细胞自动机的一个杰出示例，它在一维上与量子组，Bethe ansatz，超离散化，热带几何等相关。本文通过热力学Bethe ansatz和广义流体力学研究了BBS孤子气体的广义Gibbs系综。结果包括孤子速度方程的解，有效速度与热带黎曼θ函数的周期矩阵的有趣联系，对畴壁初始条件中出现的密度平稳的明确描述，包括其扩散校正。