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 com- pared 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%.
Original language | English |
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Article number | 149 |
Number of pages | 22 |
Journal | Journal of Statistical Physics |
Volume | 190 |
Issue number | 8 |
DOIs | |
Publication status | Published - 25 Aug 2023 |
Bibliographical note
Funding Information:This material is based upon work supported by the National Science Foundation under Grant No. 1440140, while five of the authors were in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the fall semester of 2021. We thank both reviewers for illuminating comments and suggestions. The authors would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme “Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves" where some work on this paper was undertaken. This work was supported by EPSRC grant no EP/R014604/1. TG acknowledges the support of the European Union’s H2020 Marie Skłodowska–Curie grant No. 778010 IPaDEGAN, of INdAM/GNFM and of the research project Mathematical Methods in NonLinear Physics (MMNLP), Gruppo 4-Fisica Teorica of INFN. GM is financed by the KAM grant number 2018.0344. KTRM was supported by a Visiting Wolfson research fellowship from the Royal Society.
Publisher Copyright:
© 2023, The Author(s).
Keywords
- correlation functions
- Toda lattice
- generalized Hydrodynamic