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Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale

Mazzuca G.
•
Grava T.
•
Kriecherbauer T.
altro
Spohn H.
2023
  • journal article

Periodico
JOURNAL OF STATISTICAL PHYSICS
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%.
DOI
10.1007/s10955-023-03155-x
WOS
WOS:001188106900001
Archivio
https://hdl.handle.net/20.500.11767/138272
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85169149717
https://arxiv.org/abs/2301.02431
https://ricerca.unityfvg.it/handle/20.500.11767/138272
Diritti
open access
Soggetti
  • Toda lattice

  • Integrable systems

  • Generalized hydrodyna...

  • Correlation functions...

  • Settore MAT/07 - Fisi...

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