Inflated vesicles: A lattice model

A. Baumgärtner

Physica A: Statistical Mechanics and its Applications, 1992, vol. 190, issue 1, 63-74

Abstract: A three-dimensional vesicle model on the cubic lattice with fixed surface area N subject to an internal pressure increment p ⩾ 0 is analyzed using a Monte Carlo method and finite size scaling. At the branching point p = 0, the conformations are of branched-polymer-like structures and the mean volume and the mean-square radius of gyration vary as 〈Vb〉 ∼ 〈R2b〉 ∼ N. In the large-inflation scaling regime,100< pN < 20N1/2, the surface of the vesicle is stretched with 〈V+〉23 ∼ 〈R2+〉 ∼ Nv+p2ω and v+≈ 65 and ω = 15. The Pincus-Fisher stretching exponent is χ ≈ 13. At the crumpling point xc = pcN ≈ 100, separating the branched and the stretched regime, the conformations are crumpled with 〈Vc〉23 ∼ 〈R2c〉 ∼Nvc and vc ≈ 45. The transition between stretched and crumpled conformations is continous, whereas the transformation between branched and crumpled shapes is discontinuous. The various regimes are discussed in terms of simple Flory-type arguments.

Date: 1992
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437192900774
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:190:y:1992:i:1:p:63-74

DOI: 10.1016/0378-4371(92)90077-4

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().