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Dynamical properties of Gaussian chains and loops with long-range interactions
University of Kaiserslautern, Germany.ORCID iD: 0000-0002-8400-0416
MSU-IIT Iligan, Philippines.
University of Madeira, Portugal;Universität Bielefeld, Germany.
2021 (English)In: Reports on mathematical physics, ISSN 0034-4877, E-ISSN 1879-0674, Vol. 88, no 2, p. 233-246Article in journal (Refereed) Published
Abstract [en]

Various authors have invoked discretized fractional Brownian motion (fBm) as a model for chain polymers with long-range interaction of monomers along the chain. We show that for these, in contrast to the Brownian case, linear forces are acting between all pairs of constituents, attractive for small Hurst index H and mostly repulsive when H is larger than 1/2. In the second part of this paper, we extend this study to periodic fBm and related models with a view to ring polymers with long range interactions.

Place, publisher, year, edition, pages
Elsevier, 2021. Vol. 88, no 2, p. 233-246
National Category
Probability Theory and Statistics
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-124525DOI: 10.1016/S0034-4877(21)00071-9ISI: 000714681000006Scopus ID: 2-s2.0-85118173216OAI: oai:DiVA.org:lnu-124525DiVA, id: diva2:1802892
Available from: 2023-10-06 Created: 2023-10-06 Last updated: 2023-10-18Bibliographically approved

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Bock, Wolfgang

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