Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale

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%.

22 pages, 5 figures

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Cited by in corpus (5)

• Perspective: How to overcome dynamical density functional theory
• Integrable hydrodynamics of Toda chain: case of small systems
• Particle Scattering and Fusion for the Ablowitz-Ladik Chain
• Generalized Hydrodynamics for the Volterra lattice: Ballistic and nonballistic behavior of correlation functions
• Lax dynamics