论文标题
盒球系统中的广义流体力学
Generalized hydrodynamics in box-ball system
论文作者
论文摘要
Box-Ball System（BBS）是连接到量子组，Bethe Ansatz，超级危险，热带几何形状等量子组中的可集成细胞自动机的一个突出示例。在本文中，我们研究了通过热力学伯特ANSATZ和广义流体动力学的BBS孤子气体的广义吉布斯集成。结果包括解决孤子速度方程的解决方案，这是有效速度与热带Riemann theta函数的周期矩阵的有趣联系，这是对从域壁初始条件（包括其扩散校正）中源自域壁初始条件中出现的密度高原的明确描述。
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.
