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arXiv · 2301.02431

Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale

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

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Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer, Kenneth T-R McLaughlin, Christian B. Mendl, Herbert Spohn. 2023-01-06. Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale. https://doi.org/10.1007/s10955-023-03155-x

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