Cluster geometry and survival probability in systems driven by reaction—diffusion dynamics.
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| Title: | Cluster geometry and survival probability in systems driven by reaction—diffusion dynamics. |
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| Authors: | Windus, Alastair1,2, Jensen, Henrik J.1,2 h.jensen@imperial.ac.uk |
| Source: | New Journal of Physics. Nov2008, Vol. 10 Issue 11, p1-10. 10p. 6 Graphs. |
| Subjects: | Diffusion, Semiconductor diffusion, Separation (Technology), Semiconductor doping, Cluster analysis (Statistics), Properties of matter |
| Abstract: | We consider a reaction-diffusion model incorporating the reactions A → ø A → 2A and 2A → 3A. Depending on the relative rates for sexual and asexual reproduction of the quantity A, the model exhibits either a continuous or first-order absorbing phase transition to an extinct state. A tricritical point separates the two phase lines. While we comment on this critical behaviour, the main focus of the paper is on the geometry of the population clusters that form. We observe the different cluster structures that arise at criticality for the three different types of critical behaviour and show that there exists a linear relationship for the survival probability against initial cluster size at the tricritical point only. [ABSTRACT FROM AUTHOR] |
| Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 42225102 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Cluster geometry and survival probability in systems driven by reaction—diffusion dynamics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Windus%2C+Alastair%22">Windus, Alastair</searchLink><relatesTo>1,2</relatesTo><br /><searchLink fieldCode="AR" term="%22Jensen%2C+Henrik+J%2E%22">Jensen, Henrik J.</searchLink><relatesTo>1,2</relatesTo><i> h.jensen@imperial.ac.uk</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22New+Journal+of+Physics%22">New Journal of Physics</searchLink>. Nov2008, Vol. 10 Issue 11, p1-10. 10p. 6 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Diffusion%22">Diffusion</searchLink><br /><searchLink fieldCode="DE" term="%22Semiconductor+diffusion%22">Semiconductor diffusion</searchLink><br /><searchLink fieldCode="DE" term="%22Separation+%28Technology%29%22">Separation (Technology)</searchLink><br /><searchLink fieldCode="DE" term="%22Semiconductor+doping%22">Semiconductor doping</searchLink><br /><searchLink fieldCode="DE" term="%22Cluster+analysis+%28Statistics%29%22">Cluster analysis (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Properties+of+matter%22">Properties of matter</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider a reaction-diffusion model incorporating the reactions A → ø A → 2A and 2A → 3A. Depending on the relative rates for sexual and asexual reproduction of the quantity A, the model exhibits either a continuous or first-order absorbing phase transition to an extinct state. A tricritical point separates the two phase lines. While we comment on this critical behaviour, the main focus of the paper is on the geometry of the population clusters that form. We observe the different cluster structures that arise at criticality for the three different types of critical behaviour and show that there exists a linear relationship for the survival probability against initial cluster size at the tricritical point only. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1088/1367-2630/10/11/113023 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 1 Subjects: – SubjectFull: Diffusion Type: general – SubjectFull: Semiconductor diffusion Type: general – SubjectFull: Separation (Technology) Type: general – SubjectFull: Semiconductor doping Type: general – SubjectFull: Cluster analysis (Statistics) Type: general – SubjectFull: Properties of matter Type: general Titles: – TitleFull: Cluster geometry and survival probability in systems driven by reaction—diffusion dynamics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Windus, Alastair – PersonEntity: Name: NameFull: Jensen, Henrik J. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2008 Type: published Y: 2008 Identifiers: – Type: issn-print Value: 13672630 Numbering: – Type: volume Value: 10 – Type: issue Value: 11 Titles: – TitleFull: New Journal of Physics Type: main |
| ResultId | 1 |
