84 citations · 228 across the 10 of their papers we have counts for
5 papers · 1 filter
Realization of the open-boundary totally asymmetric simple exclusion process on a ring
Masahiro Kanai
We propose a misanthrope process, defined on a ring, which realizes the totally asymmetric simple exclusion process with open boundaries. In the misanthrope process, particles have…
A stochastic optimal velocity model and its long-lived metastability
Masahiro Kanai, Katsuhiro Nishinari, Tetsuji Tokihiro
In this paper, we propose a stochastic cellular automaton model of traffic flow extending two exactly solvable stochastic models, i.e., the asymmetric simple exclusion process and…
Exact solution and asymptotic behaviour of the asymmetric simple exclusion process on a ring
Masahiro Kanai, Katsuhiro Nishinari, Tetsuji Tokihiro
In this paper, we study an exact solution of the asymmetric simple exclusion process on a periodic lattice of finite sites with two typical updates, i.e., random and parallel. Then…
Analytical study on the criticality of the Stochastic Optimal Velocity model
Masahiro Kanai, Katsuhiro Nishinari, Tetsuji Tokihiro
In recent works, we have proposed a stochastic cellular automaton model of traffic flow connecting two exactly solvable stochastic processes, i.e., the Asymmetric Simple Exclusion…
Exact solution of the zero-range process: fundamental diagram of the corresponding exclusion process
Masahiro Kanai
In this paper, we propose a general way of computing expectation values in the zero-range process, using an exact form of the partition function. As an example, we provide the fund…