Issue |
Europhys. Lett.
Volume 69, Number 5, March 2005
|
|
---|---|---|
Page(s) | 839 - 845 | |
Section | Interdisciplinary physics and related areas of science and technology | |
DOI | https://doi.org/10.1209/epl/i2004-10423-y | |
Published online | 04 February 2005 |
Monte Carlo calculations of the free-energy landscape of vesicle formation and growth
Department of Chemistry, Emory University - Atlanta, GA, 30322, USA
Received:
25
August
2004
Accepted:
7
January
2005
A flat-histogram Monte Carlo sampling method is used to calculate
the free-energy landscape of a simple semi-flexible triangulated
membrane model as a function of the number of vertices and the
number of free edges. Results yield the equilibrium ratio of open
(disk) and closed (vesicle) states, the free-energy barrier
between these states, and the scaling of vesicle free energy with
size N in the range from 6 to 200 vertices. Deviations from the
predictions of a simple model for the disk-vesicle transition are
found to result from the fluctuations of the edge. Vesicle free
energies are fit to the form , with
coefficient
for flexible membranes (consistent
with self-avoiding branched polymer statistics) and
for semiflexible membranes.
PACS: 87.16.Dg – Membranes, bilayers, and vesicles / 87.15.Aa – Theory and modeling; computer simulation
© EDP Sciences, 2005
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