Transition from self-replicating behavior to stationary patterns induced by concentration-dependent diffusivities

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dc.contributor.authorRoussel, Marc R.
dc.contributor.authorWang, Jichang
dc.date.accessioned2019-07-18T22:46:30Z
dc.date.available2019-07-18T22:46:30Z
dc.date.issued2001
dc.descriptionSherpa Romeo green journal. Permission to archive final published versionen_US
dc.description.abstractIn this Letter, we report the observation of a transition from self-replicating behavior to stationary spatial structures induced by concentration-dependent diffusivities in the excitable Gray-Scott medium. Notably, the transition occurs even though there is no change in the relative diffusivities between the activator and the inhibitor. In contrast to the well-known Turing patterns, the obtained time-independent spatial structure has no intrinsic wavelength and the asymptotic state depends exclusively on the initial perturbations. This study illustrates that variable diffusivities can also have profound effects on pattern formation and selection in excitable media.en_US
dc.description.peer-reviewYesen_US
dc.identifier.citationRoussel, M. R., & Wang, J. (2001). Transition from self-replicating behavior to stationary patterns induced by concentration-dependent diffusivities. Physical Review Letters, 87(18), 188302:1-4. doi: 10.1103/PhysRevLett.87.188302en_US
dc.identifier.urihttps://hdl.handle.net/10133/5475
dc.language.isoen_USen_US
dc.publisherAmerican Physical Societyen_US
dc.publisher.departmentDepartment of Chemistry and Biochemistryen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.urlhttps://doi.org/10.1103/PhysRevLett.87.188302
dc.subjectPattern formation
dc.subjectConcentration-dependent
dc.subjectDiffusivities
dc.subjectSelf-replicating behavior
dc.subjectGray-Scott
dc.titleTransition from self-replicating behavior to stationary patterns induced by concentration-dependent diffusivitiesen_US
dc.typeArticleen_US
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