Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale
Statistical Mechanics
2023-11-09 v1 Mathematical Physics
Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
Abstract
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%.
Keywords
Cite
@article{arxiv.2301.02431,
title = {Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale},
author = {Guido Mazzuca and Tamara Grava and Thomas Kriecherbauer and Kenneth T-R McLaughlin and Christian B. Mendl and Herbert Spohn},
journal= {arXiv preprint arXiv:2301.02431},
year = {2023}
}
Comments
22 pages, 5 figures