The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Fluctuations in membranes with crystalline and hexatic order
Open accessAbstract
We study the interplay between crystalline (or hexatic) order and thermal fluctuations in membranes with vanishing surface tension. If the connectivity of the crystalline state is preserved, the membrane remains uncrumpled at low temperatures. When dislocations are allowed, however, screening of elastic stresses by buckling reduces dislocation energies, and promotes dislocation unbinding. When the resulting hexatic phase is stable, the stiffness associated with orientational correlations leads to a logarithmic enhancement of the bending rigidity which counteracts the thermal softening found in fluid surfaces. A finite temperature crumpling transition is predicted for crystalline membranes, and possibly for hexatic membranes as well.
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Cites
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Dislocation-mediated melting in two dimensions
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Self-citationCanham, P. B. (1970) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(70)80032-7 · Cited by 1,557
Microemulsions and the flexibility of oil/water interfaces
De Gennes, P. G., & Taupin, C. (1982) · The Journal of Physical Chemistry · doi:10.1021/j100210a011 · Cited by 1,260
Interaction Effects in Disordered Fermi Systems in Two Dimensions
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Mechanics and Thermodynamics of Biomembranes
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Frequency spectrum of the flicker phenomenon in erythrocytes
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Surface and Defect Properties of Solids
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Statistical Mechanics of Tethered Surfaces
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The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
“…and in-plane modes(or phonon-phonon intera tions (Bonini et al., 2007;Radzihovsky and Le Doussal, 1992)) and the presen eof topologi al defe ts (Nelson and Peliti, 1987) an leadto strong renormalizations of the bending rigidity, driv-ing the system toward a at phase at low tempera-tures…”
BackgroundConfigurations of fluid membranes and vesicles
Seifert, U. (1997) · Advances in Physics · doi:10.1080/00018739700101488 · Cited by 1,650
Blees, M. K., Barnard, A. W., Rose, P. A., Roberts, S. P., McGill, K. L., Huang, P. Y., Ruyack, A. R., Kevek, J. W., Kobrin, B., Muller, D. A., et al. (2015) · Nature · doi:10.1038/nature14588 · Cited by 891
Two‐Dimensional Polymers: Just a Dream of Synthetic Chemists?
Sakamoto, J., van Heijst, J., Lukin, O., & Schlüter, A. D. (2009) · Angewandte Chemie International Edition · doi:10.1002/anie.200801863 · Cited by 734
Electron scattering on microscopic corrugations in graphene
Katsnelson, M. I., & Geim, A. K. (2008) · Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rsta.2007.2157 · Cited by 549
Metadata
- Authors
- Nelson, D. R., & Peliti, L.
- Venue
- Journal de Physique
- Publisher
- EDP Sciences
- Published
- 1987
- Volume
- 48
- Issue
- 7
- Pages
- 1085-1092
- ISSN
- 0302-0738 (ISSN-L)
- OpenAlex
- W1989482150
- Cited by
- 676
- References
- 11
- FWCI
- 6.61
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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