Molecular Discreteness in Reaction-Diffusion Systems Yields Steady States Not Seen in the Continuum Limit

Details 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

2003-10-17

arxiv.org/abs/physics/0310083v3

Phys. Rev. E 70, 020901 (2004)

Physics

Chemical Physics

5 pages, 3 figures, revtex4

Scientific paper

10.1103/PhysRevE.70.020901

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 localization of molecules, resulting in novel steady states that do not exist in the continuous case. These novel states are analyzed theoretically as the fixed points of accelerated localized reactions, an approach that was verified to be in good agreement with stochastic particle simulations. The relevance of this discreteness-induced state to biological intracellular processes is discussed.

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