29 citations · 261 across the 44 of their papers we have counts for
4 papers · 1 filter
Generalized hydrodynamic limit for the box-ball system
David A. Croydon, Makiko Sasada
We deduce a generalized hydrodynamic limit for the box-ball system, which explains how the densities of solitons of different sizes evolve asymptotically under Euler space-time sca…
Dynamics of the ultra-discrete Toda lattice via Pitman's transformation
David A. Croydon, Makiko Sasada, Satoshi Tsujimoto
By encoding configurations of the ultra-discrete Toda lattice by piecewise linear paths whose gradient alternates between and , we show that the dynamics of the system can…
Thermal conductivity for stochastic energy exchange models
Makiko Sasada
We consider a class of stochastic models for energy transport and study relations between the thermal conductivity and some static observables, such as the static conductivity, whi…
Macroscopic energy diffusion for a chain of anharmonic oscillators
Stefano Olla, Makiko Sasada
We study the energy diffusion in a chain of anharmonic oscillators where the Hamiltonian dynamics is perturbed by a local energy conserving noise. We prove that under diffusive res…