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We study the classical Toda lattice with domain wall initial conditions, for which left and right half lattice are in thermal equilibrium but with distinct parameters of pressure, mean velocity, and temperature.
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https://github.com/cmendl/Toda-domainwall
Cited in the paper.
H. Spohn, Generalized Gibbs ensembles of the classical Toda chain, J. Stat. Phys. 180
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H. Spohn, Ballistic space-time correlators of the classical Toda lattice, J. Phys. A: Math. Theor. 53
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H. Spohn, Hydrodynamic equations for the Toda lattice, arXiv:2101.06528
2021
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