2006
DOI: 10.1007/11816102_24
|View full text |Cite
|
Sign up to set email alerts
|

Phase Transition of a Skeleton Model for Surfaces

Abstract: A spherical model of skeleton with junctions is investigated by Monte Carlo simulations. The model is governed by one-dimensional bending energy. The results indicate that the model undergoes a firstorder transition separating the smooth phase from the crumpled phase. The existence of phase transition indicates that junctions play a nontrivial role in the transition.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2

Citation Types

0
4
0

Year Published

2007
2007
2007
2007

Publication Types

Select...
3

Relationship

3
0

Authors

Journals

citations
Cited by 3 publications
(4 citation statements)
references
References 18 publications
0
4
0
Order By: Relevance
“…Meshwork models in [23,24] has no vertex inside the compartments, which have finite size n. The phase structure of such meshwork model of finite n is considered to be dependent on the elasticity of junctions [23,24]. Therefore, it is interesting to study the dependence of the surface fluctuation transition on n in the meshwork model, where the elasticity of junctions is identical to that in the model of this Letter.…”
Section: Discussionmentioning
confidence: 99%
“…Meshwork models in [23,24] has no vertex inside the compartments, which have finite size n. The phase structure of such meshwork model of finite n is considered to be dependent on the elasticity of junctions [23,24]. Therefore, it is interesting to study the dependence of the surface fluctuation transition on n in the meshwork model, where the elasticity of junctions is identical to that in the model of this Letter.…”
Section: Discussionmentioning
confidence: 99%
“…The chains in our model share the two-dimensional Gaussian bond potential S 1 and the two-dimensional bending energy S J at the boundaries, which are the junctions. However, the two-dimensional S 1 seems to play no significant role in the transition, because a skeleton surface model with a one-dimensional bond potential also undergoes a phase transition [26]. It is expected that the skeleton surface model has a phase transition even without S 1 as in HPK model [17].…”
Section: Discussionmentioning
confidence: 99%
“…Following to these considerations, we studied a meshwork model in [31] and reported some preliminary results on the phase structure. In this paper, we study two types of meshwork models including the one in [31] on relatively large sized surfaces.…”
Section: Introductionmentioning
confidence: 99%
“…Following to these considerations, we studied a meshwork model in [31] and reported some preliminary results on the phase structure. In this paper, we study two types of meshwork models including the one in [31] on relatively large sized surfaces. The first model in this paper is characterized by elastic junctions and is identical to the model in [31], while the second model is characterized by rigid junctions, which are hexagonal (or pentagonal) rigid plates.…”
Section: Introductionmentioning
confidence: 99%