水动力尺度上Toda晶格的平衡时空相关

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2023-08-25 DOI:10.1007/s10955-023-03155-x

Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer, Kenneth T.-R. McLaughlin, Christian B. Mendl, Herbert Spohn

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引用次数: 2

摘要

我们报道了热平衡中Toda晶格时空相关的分子动力学模拟。在很大的压力和温度范围内，对拉伸、动量和能量的相关性进行了数值计算。我们的数值结果与线性化广义流体力学在欧拉尺度上的预测结果进行了比较。系统大小为\(N=3000,4000\)，时间为\(t =600\)，在此弹道尺度得到了很好的确认。在无参数可调的情况下，数值计算得到的标度函数与理论一致，精度小于3.5%.

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale

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Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale

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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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.