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Molecular discreteness in reaction-diffusion systems yields steady states not seen in the continuum limit

Molecular discreteness in reaction-diffusion systems yields steady states not seen in the continuum limit

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 of molecules, resulting in novel steady states that do not exist in the continuous case. These states are analyzed theoretically as the …