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Scaling of Directed Polymers in Random Media
Abstract
Directed polymers subject to quenched external impurities (as in a polyelectrolyte in a gel matrix) are examined analytically, and numerically. Transverse fluctuations $|\mathrm{x}|$ scale with the length $t$ of the polymer as $|\mathrm{x}|\ensuremath{\sim}{t}^{\ensuremath{\nu}}$. In all dimensions, for sufficiently strong disorder, $\ensuremath{\nu}$ can be different from the random-walk value of \textonehalf{}. Extensive numerical simulations in two, three, and four dimensions in fact suggest a superuniversal exponent of $\ensuremath{\nu}=\frac{2}{3}$. The importance of the tree structure of the polymer ensemble is emphasized.
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Cited by
Fisher, D. S., Fisher, M. P. A., & Huse, D. A. (1991) · Physical Review B · doi:10.1103/physrevb.43.130 · Cited by 2,381
Vortex Entanglement in High-TcSuperconductors
Nelson, D. R. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.1973 · Cited by 894
Metadata
- Authors
- Kardar, M., & Zhang, Y.-C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1987-05-18
- Volume
- 58
- Issue
- 20
- Pages
- 2087-2090
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2040109383
- Cited by
- 543
- References
- 0
- FWCI
- 7.77
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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