流体力学尺度下Toda晶格的平衡时空关联
Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale
AI总结：
本研究通过分子动力学模拟探究热平衡下Toda晶格的时空关联，验证了欧拉尺度线性化广义流体力学理论的预测，在无可调参数时二者吻合精度超3.5%。
摘要：
我们开展了热平衡下Toda晶格时空关联的分子动力学模拟研究。在宽范围的压强与温度条件下，数值计算了拉伸、动量和能量的关联函数。将数值结果与欧拉尺度下线性化广义流体力学的预测进行对比。系统规模取N=3000、4000，时间t=600，该条件下弹道标度已得到充分验证。在无任何可调参数的情况下，数值得到的标度函数与理论的吻合精度优于3.5%。
英文摘要：
We report on molecular dynamics simulations of spacetime correlations of the Toda lattice in thermal equilibrium. The correlations of stretch, momentum, and energy are computed numerically over a wide range of pressure and temperature. Our numerical results are compared with the predictions from linearized generalized hydrodynamics on the Euler scale. The system size is N=3000,4000 and time t =600, at which ballistic scaling is well confirmed. With no adjustable parameters, the numerically obtained scaling functions agree with the theory within a precision of less than 3.5%.
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