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Prog. Theor. Phys. Vol. 88 No. 1 (1992) pp. 135-138
Letters
A Simulation Method for Shape Transformations of a Closed Interface
Tamotsu Kohyama
Faculty of Education, Shiga University, Otsu 520
(Received January 23, 1992)
Abstract:
We propose a simulation method to get an equilibrium form of closed interface under the constraints of constant volume and surface area. From the similarities of membranes to the interface of a binary alloy, we construct the dynamical equation using the Cahn-Hilliard equation. The simulations of 2-dimensional case show the shape transformations from circular shape to the discocyte shapes, increasing the length of surface under the fixed area.
URL :
http://ptp.ipap.jp/link?PTP/88/135/
DOI : 10.1143/PTP.88.135
References:
- P. B. Canham, J. Theoret. Biol. 26 (1970), 61.
W. Helfrich, Z. Naturforsch. 28c (1973), 693.
- H. J. Deuling and W. Helfrich, J. de Phys. 37 (1976), 1335.
J. T. Jenkins, J. Math. Biology 4 (1977), 149.
N. Ostrowsky and J. Peyraud, J. Chem. Phys. 77 (1982), 2081[CrossRef].
W. Wiese and W. Helfrich, J. of Phys.: Cond. Matt. 2 (1990), SA329[CrossRef].
-
K. Berndl, J. Käs, R. Lipowsky, E. Sackmann and U. Seifert, Europhys. Lett. 13 (1990), 659[CrossRef].
U. Seifert, K. Berndl and R. Lipowsky, Phys. Rev. A44 (1991), 1182[APS].
-
L. Miao, B. Fourcade, M. Rao and M. Wortis, Phys. Rev. A43 (1991), 6843[APS].
-
M. A. Peterson, J. Appl. Phys. 57 (1985), 1739[CrossRef];
Phys. Rev. A39 (1989), 2643[APS].
-
J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 28 (1958), 258[CrossRef].
T. Ohta and K. Kawasaki, Prog. Theor. Phys. 58 (1977), 467[PTP].
S. M. Allen and J. W. Cahn, Acta Metall. 27 (1979), 1085.
-
U. Seifert, Phys. Rev. A43 (1991), 6803[APS].
