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

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dc.creatorTogashi, Yuichi
dc.creatorKaneko, Kunihiko
dc.date2003-10-17
dc.date2004-09-03
dc.date.accessioned2026-07-07T05:50:16Z
dc.date.available2026-07-07T05:50:16Z
dc.descriptionWe 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.
dc.description5 pages, 3 figures, revtex4
dc.identifierhttps://arxiv.org/abs/physics/0310083
dc.identifierhttp://arxiv.org/abs/physics/0310083
dc.identifierPhys. Rev. E 70, 020901 (2004)
dc.identifierdoi:10.1103/PhysRevE.70.020901
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85658
dc.subjectChemical Physics
dc.subjectPattern Formation and Solitons
dc.subjectBiological Physics
dc.subjectSubcellular Processes
dc.titleMolecular Discreteness in Reaction-Diffusion Systems Yields Steady States Not Seen in the Continuum Limit
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