50 citations · 67 across the 3 of their papers we have counts for
5 papers
Discreteness-Induced Transitions in Autocatalytic Systems
Yuichi Togashi, Kunihiko Kaneko
To study the dynamics of chemical processes, we often adopt rate equations to observe the change in chemical concentrations. However, when the number of the molecules is small, the…
Discreteness-induced Stochastic Steady State in Reaction Diffusion Systems: Self-consistent Analysis and Stochastic Simulations
Yuichi Togashi, Kunihiko Kaneko
A self-consistent equation to derive a discreteness-induced stochastic steady state is presented for reaction-diffusion systems. For this formalism, we use the so-called Kuramoto l…
Molecular Discreteness in Reaction-Diffusion Systems Yields Steady States Not Seen in the Continuum Limit
Yuichi Togashi, Kunihiko Kaneko
We investigate the effects of spatial discreteness of molecules in reaction-diffusion systems. It is found that discreteness within the so called Kuramoto length can lead to a loca…
Alteration of Chemical Concentrations through Discreteness-Induced Transitions in Small Autocatalytic Systems
Yuichi Togashi, Kunihiko Kaneko
We study an autocatalytic system consisting of several interacting chemical species. We observe a strong dependence of the concentrations of the chemicals on the size of the system…
Transitions Induced by the Discreteness of Molecules in a Small Autocatalytic System
Yuichi Togashi, Kunihiko Kaneko
Autocatalytic reaction system with a small number of molecules is studied numerically by stochastic particle simulations. A novel state due to fluctuation and discreteness in molec…