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Integrable hydrodynamics of Toda chain: case of small systems

Integrable hydrodynamics of Toda chain: case of small systems

Abstract Passing from a microscopic discrete lattice system with many degrees of freedom to a mesoscopic continuum system described by a few coarse-grained equations is challenging. The common folklore is to take the thermodynamic limit so that the physics of the discrete lattice describes the continuum results. The analytical procedure …