Physical review. E, Statistical, nonlinear, andâ€¦

2004

We investigate the effects of the spatial discreteness of molecules in reaction-diffusion systems. It is found that discreteness within the so-called Kuramoto length can lead to a localization ofâ€¦ (More)

The 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 molecular numbers isâ€¦ (More)

A self-consistent equation to derive a discreteness-induced stochastic steady state is presented for reactiondiffusion systems. For this formalism, we use the so-called Kuramoto length, a typicalâ€¦ (More)

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. This dependenceâ€¦ (More)

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 molecular numbers isâ€¦ (More)

Chromatin structures are considered to be, at least partially, regulated by chemical modification such as methylation and acetylation; atomic details of the molecules modulate the structural andâ€¦ (More)

To study the fluctuations and dynamics in chemical reaction processes, stochastic differential equations based on the rate equation involving chemical concentrations are often adopted. When theâ€¦ (More)

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 fluctuationsâ€¦ (More)

The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. However, even atâ€¦ (More)