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Hydrodynamic equations for the classical Toda lattice/ Herbert Spohn.

By: Contributor(s): Publication details: Rio de Janeiro: IMPA, 2021.Description: online lectureSubject(s): DDC classification:
  • cs
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Abstract: The Toda lattice is one of the most famous integrable system of classical mechanics. For N lattice sites there are N+1 conserved quantities. We are interested in the hydrodynamic scale, which means to start with suitably adjusted random initial data. In my talk I will outline the general structure and the resulting hydrodynamic Euler type equations. An unexpected connection to the repulsive log gas in one dimension is discussed .
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Lecture - online event

Abstract: The Toda lattice is one of the most famous integrable system of classical mechanics. For N lattice sites there are N+1 conserved quantities. We are interested in the hydrodynamic scale, which means to start with suitably adjusted random initial data. In my talk I will outline the general structure and the resulting hydrodynamic Euler type equations. An unexpected connection to the repulsive log gas in one dimension is discussed .

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