论文标题
$ u_q（\ widehat {sl} _n）$中的完整盒球系统中的全身水动力学
Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$
论文作者
论文摘要
我们介绍了完整的盒球系统（CBB），该系统是与量子组$ u_q（\ wideHat {sl} _n）$相关的1D晶格上的可集成蜂窝自动机。与传统的$（N-1）$ - 颜色BB相比，它可以简单简化，即孤子的散射完全是对角线。我们还将CBB提交为随机初始条件，并研究其通过热力学伯特ANSATZ和广义流体动力学的非平衡行为。在域壁初始条件（包括扩展扩展）中产生的密度高原上，理论预测与数值模拟之间证明了极好的一致性。
We introduce the complete box-ball system (cBBS), which is an integrable cellular automaton on 1D lattice associated with the quantum group $U_q(\widehat{sl}_n)$. Compared with the conventional $(n-1)$-color BBS, it enjoys a remarkable simplification that scattering of solitons is totally diagonal. We also submit the cBBS to randomized initial conditions and study its non-equilibrium behavior by thermodynamic Bethe ansatz and generalized hydrodynamics. Excellent agreement is demonstrated between theoretical predictions and numerical simulation on the density plateaux generated from domain wall initial conditions including their diffusive broadening.
