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%.

Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale / Mazzuca, G.; Grava, T.; Kriecherbauer, T.; Mclaughlin, K. T. -R.; Mendl, C. B.; Spohn, H.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 190:8(2023), pp. 1-22. [10.1007/s10955-023-03155-x]

Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale

Mazzuca G.
;
Grava T.;Kriecherbauer T.;Spohn H.
2023-01-01

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%.
2023
190
8
1
22
149
10.1007/s10955-023-03155-x
https://arxiv.org/abs/2301.02431
Mazzuca, G.; Grava, T.; Kriecherbauer, T.; Mclaughlin, K. T. -R.; Mendl, C. B.; Spohn, H.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/138272
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