Diffusive-Ballistic Transition in Random Polymers with Drift and Repulsive Long-Range Interactions.
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| Title: | Diffusive-Ballistic Transition in Random Polymers with Drift and Repulsive Long-Range Interactions. |
|---|---|
| Authors: | Cioletti, L.1 leandro.mat@gmail.com, Dorea, C.1 changdorea@unb.br, Vasconcelos da Silva, S.2 simone@ufg.br |
| Source: | Journal of Statistical Physics. Aug2014, Vol. 156 Issue 4, p760-765. 6p. |
| Subjects: | Random polynomials, Phase transitions, Mathematical invariants, Limit theorems, Mathematical models |
| Abstract: | In this note phase transition issues are addressed for random polymers on $$\mathbb {Z}^2$$ with long-range self-repulsive interactions. It is shown that, in the absence of drift and with power law interactions, the polymer exhibits transition from diffusive to a ballistic behavior. When non-null drifts are added and positive translation invariant interactions are considered, the polymer presents a ballistic behavior. Our results complement some previous studies on the matter and we also derive a Central Limit Theorem for the model. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Statistical Physics is the property of Springer Nature 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 |
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| Items | – Name: Title Label: Title Group: Ti Data: Diffusive-Ballistic Transition in Random Polymers with Drift and Repulsive Long-Range Interactions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Cioletti%2C+L%2E%22">Cioletti, L.</searchLink><relatesTo>1</relatesTo><i> leandro.mat@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Dorea%2C+C%2E%22">Dorea, C.</searchLink><relatesTo>1</relatesTo><i> changdorea@unb.br</i><br /><searchLink fieldCode="AR" term="%22Vasconcelos+da+Silva%2C+S%2E%22">Vasconcelos da Silva, S.</searchLink><relatesTo>2</relatesTo><i> simone@ufg.br</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Statistical+Physics%22">Journal of Statistical Physics</searchLink>. Aug2014, Vol. 156 Issue 4, p760-765. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Random+polynomials%22">Random polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+transitions%22">Phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+invariants%22">Mathematical invariants</searchLink><br /><searchLink fieldCode="DE" term="%22Limit+theorems%22">Limit theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this note phase transition issues are addressed for random polymers on $$\mathbb {Z}^2$$ with long-range self-repulsive interactions. It is shown that, in the absence of drift and with power law interactions, the polymer exhibits transition from diffusive to a ballistic behavior. When non-null drifts are added and positive translation invariant interactions are considered, the polymer presents a ballistic behavior. Our results complement some previous studies on the matter and we also derive a Central Limit Theorem for the model. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Statistical Physics is the property of Springer Nature 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: 10.1007/s10955-014-1021-z Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 760 Subjects: – SubjectFull: Random polynomials Type: general – SubjectFull: Phase transitions Type: general – SubjectFull: Mathematical invariants Type: general – SubjectFull: Limit theorems Type: general – SubjectFull: Mathematical models Type: general Titles: – TitleFull: Diffusive-Ballistic Transition in Random Polymers with Drift and Repulsive Long-Range Interactions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Cioletti, L. – PersonEntity: Name: NameFull: Dorea, C. – PersonEntity: Name: NameFull: Vasconcelos da Silva, S. IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 08 Text: Aug2014 Type: published Y: 2014 Identifiers: – Type: issn-print Value: 00224715 Numbering: – Type: volume Value: 156 – Type: issue Value: 4 Titles: – TitleFull: Journal of Statistical Physics Type: main |
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