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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2020

Generalized hydrodynamics in box-ball system

Résumé

Box-ball system (BBS) is a prominent example of integrable cellular automata in one dimension connected to quantum groups, Bethe ansatz, ultradiscretization, tropical geometry and so forth. In this paper we study the generalized Gibbs ensemble of BBS soliton gas by thermodynamic Bethe ansatz and generalized hydrodynamics. The results include the solution to the speed equation for solitons, an intriguing connection of the effective speed with the period matrix of the tropical Riemann theta function, an explicit description of the density plateaux that emerge from domain wall initial conditions including their diffusive corrections.
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Dates et versions

hal-02550037 , version 1 (22-03-2024)

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Atsuo Kuniba, Grégoire Misguich, Vincent Pasquier. Generalized hydrodynamics in box-ball system. Journal of Physics A: Mathematical and Theoretical, 2020, 53 (40), pp.404001. ⟨10.1088/1751-8121/abadb9⟩. ⟨hal-02550037⟩
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