Crumpled-to-tubule transition and shape transformations of a model of self-avoiding spherical meshwork

This paper analyzes a new self-avoiding (SA) meshwork model using the canonical Monte Carlo simulation technique on lattices that consist of connection-fixed triangles. The Hamiltonian of this model includes a self-avoiding potential and a pressure term. The model identifies a crumpled-to-tubule (CT...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2013-12
Main Authors: Koibuchi, Hiroshi, Shobukhov, Andrey
Format: Article
Language:English
Subjects:
Computer simulation
Fractal analysis
Fractal geometry
Lattices
Monte Carlo simulation
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper analyzes a new self-avoiding (SA) meshwork model using the canonical Monte Carlo simulation technique on lattices that consist of connection-fixed triangles. The Hamiltonian of this model includes a self-avoiding potential and a pressure term. The model identifies a crumpled-to-tubule (CT) transition between the crumpled and tubular phases. This is a second-order transition, which occurs when the pressure difference between the inner and outer sides of the surface is close to zero. We obtain the Flory swelling exponents \(\nu_{{\rm R}^2}(=\!D_f/2)\) and \(\bar{\nu}_{\rm v}\) corresponding to the mean square radius of gyration \(R_g^2\) and enclosed volume \(V\), where \(D_f\) is the fractal dimension. The analysis shows that \(\bar{\nu}_{\rm v}\) at the transition is almost identical to the one of the smooth phase of previously reported SA model which has no crumpled phase.
ISSN:2331-8422
DOI:10.48550/arxiv.1312.1408