A Model of Lattice Vesicles

Van Rensburg, E. J. Janse

doi:10.1007/978-1-4612-1712-1_14

E. J. Janse Van Rensburg⁵

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 103))

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Abstract

The phase diagram of a constrained lattice vesicle, called a c-surface, with a fugacity conjugate to the degree of bending and a fugacity conjugate to the volume of the vesicle, is derived and discussed. It is shown that the c-surface has at least three phases, which coexists at a triple point. These are an inflated phase, a crumpled phase, and a smooth phase.

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References

R. Lipowski, Nature 349 (1991), 475.
Article Google Scholar
S.G. Whittington, J. Math. Chem. 14 (1993), 103.
Article MathSciNet Google Scholar
S. Leibler, in Statistical Mechanics of Membranes and Surfaces, eds. D. Nelson, T. Piran and S. Weinberg, Jerusalem Winter School for Theoretical Physics 5 (1987), 46 (World Scientific: Singapore, 1988).
Google Scholar
A.L. Stella, E. Orlandini, I. Beichl, F. Sullivan, M.C. Tesi and T.L. Einstein, Phys. Rev. Lett. 64 (1992), 3650.
Article Google Scholar
E. Orlandini, A.L. Stella, T.L. Einstein, M.C. Tesi, I. Beichl and F. Sullivan, Phys. Rev. E 53 (1996), 5800.
Article Google Scholar
E.J. Janse van Rensburg, Preprint.
Google Scholar
M.E. Fisher, A.J. Guttmann and S.G. Whittington, J. Phys. A: Math. Gen. 24 (1991), 3095.
Article MathSciNet Google Scholar
E. Orlandini and M.C. Tesi, Physica A 185 (1992), 160.
Article Google Scholar
A. Baumgartner, Physica A 192 (1993), 550.
Article Google Scholar
E. Orlandini, A.L. Stella, M.C. Tesi and F. Sullivan, Phys. Rev. E 48 (1993), R4203.
Article Google Scholar
E. Hille, Functional Analysis and Semi-Groups (AMS Conn. Pub!.) 31 (1948) (New York: AMS).
Google Scholar
J.B. Wilker and S.G. Whittington, J. Phys. A: Math. Gen. 12 (1979), L245.
Article MathSciNet Google Scholar
E.J. Janse van Rensburg and S.G. Whittington, J. Phys. A: Math. Gen. 22 (1989), 4939.
Article MathSciNet MATH Google Scholar
M.E. Fisher, Physics 3 (1967), 255.
Google Scholar

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Authors and Affiliations

Department of Mathematics and Statistics, York University, Ontario M3J 1P3, North York, Canada
E. J. Janse Van Rensburg

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E. J. Janse Van Rensburg
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Editors and Affiliations

Department of Chemistry, University of Toronto, Toronto, ON, M5S 1A1, Canada
Stuart G. Whittington
Department of Mathematics, Florida State University, Tallahassee, FL, 32306, USA
Witt De Sumners
Department of Chemistry, University of Minnesota, Minneapolis, MN, 55455, USA
Timothy Lodge

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Van Rensburg, E.J.J. (1998). A Model of Lattice Vesicles. In: Whittington, S.G., De Sumners, W., Lodge, T. (eds) Topology and Geometry in Polymer Science. The IMA Volumes in Mathematics and its Applications, vol 103. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1712-1_14

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DOI: https://doi.org/10.1007/978-1-4612-1712-1_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98580-0
Online ISBN: 978-1-4612-1712-1
eBook Packages: Springer Book Archive

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