29 citations · 35 across the 17 of their papers we have counts for
5 papers · 1 filter
Scaling limits of solitons in the box-ball system
Stefano Olla, Makiko Sasada, Hayate Suda
We study the space-time scaling limits of solitons in the box-ball system with random initial distribution. In particular, we show that any recentered tagged soliton converges to a…
On Interactions for Large Scale Interacting Systems
Kenichi Bannai, Jun Koriki, Makiko Sasada +2
Statistical mechanics explains the properties of macroscopic phenomena based on the movements of microscopic particles such as atoms and molecules. Movements of microscopic particl…
On Uniform Functions on Configuration Spaces of Large Scale Interacting Systems
Kenichi Bannai, Makiko Sasada
Stochastic large scale interacting systems can be studied via the observables, i.e. functions on the underlying configuration space. In our previous article, we introduced the conc…
The incompressible Navier-Stokes limit from the lattice BGK Boltzmann equation
Zhongyang Gu, Xin Hu, Pritpal Matharu +3
In this paper, we prove that a local weak solution to the -dimensional incompressible Navier-Stokes equations () can be constructed by taking the hydrodynamic limit of…
Characterization of Gradient Condition for Asymmetric Partial Exclusion Processes and Their Scaling Limits
Patrícia Gonçalves, Kohei Hayashi, Makiko Sasada
We consider partial exclusion processes~(PEPs) on the one-dimensional square lattice, that is, a system of interacting particles where each particle random walks according to a jum…