Non-vanishing string tension of elastic membrane models

Koibuchi, Hiroshi; Kusano, Nobuyuki; Nidaira, Atsusi; Suzuki, Komei

doi:10.1016/j.physleta.2004.09.064

Cited by 11 publications

(19 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The result is in sharp contrast to that of a fluid surface model with extrinsic curvature, where the crumpling transition is strengthened when the distance between two fixed vertices is increased under a specific condition [31,32] at a sufficiently large L(N). In fact, the phase transition of the tethered surface model in this paper is softened at sufficiently large L(N) as stated above.…”

Section: Discussioncontrasting

confidence: 81%

“…The surface models can be classified into two groups, which are characterized by the curvature energy in the Hamiltonian; one is an extrinsic curvature model [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32], and the other is an intrinsic curvature model [33,34,35,36]. The extrinsic curvature model is known to undergo a first-order transition between the smooth phase and the crumpled phase on tethered spherical surfaces [22,23,24].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Phase transitions of a tethered membrane model with intrinsic curvature on spherical surfaces with point boundaries

Koibuchi¹

2006

J. Stat. Mech.

Self Cite

View full text Add to dashboard Cite

Abstract. We found that the order for the crumpling transition of an intrinsic curvature model changes depending on the distance between two boundary vertices fixed on the surface of spherical topology. The model is a curvature one governed by an intrinsic curvature energy, which is defined on triangulated surfaces. It was already reported that the model undergoes a first-order crumpling transition without the boundary conditions on the surface. However, the dependence of the transition on such boundary condition is yet to be studied. We have studied in this paper this problem by using the Monte Carlo simulations on surfaces up to a size N = 8412. The first-order transition changes to a second-order one if the distance increases.

show abstract

Section: Discussioncontrasting

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Phase transitions of a tethered membrane model with intrinsic curvature on spherical surfaces with point boundaries

Koibuchi¹

2006

J. Stat. Mech.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The result presented in [28] implies that σ can be considered as an order parameter of the phase transition.…”

Section: Introductionmentioning

confidence: 94%

“…The model on fixed connectivity surfaces has been considered to undergo a finite-b transition between the smooth phase and the crumpled phase. A lot of numerical studies including those on fluid surfaces so far support this fact [16,17,18,19,20,21,22,23,24,25,26,27,28]. However, there seems to be no established understanding of phase transitions in the fluid surface model.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Grand canonical simulations of string tension in elastic surface model

Koibuchi

2005

Eur. Phys. J. B

View full text Add to dashboard Cite

Abstract. We report a numerical evidence that the string tension σ can be viewed as an order parameter of the phase transition, which separates the smooth phase from the crumpled one, in the fluid surface model of Helfrich and Polyakov-Kleinert. The model is defined on spherical surfaces with two fixed vertices of distance L. The string tension σ is calculated by regarding the surface as a string connecting the two points. We find that the phase transition strengthens as L is increased, and that σ vanishes in the crumpled phase and non-vanishes in the smooth phase.PACS. 64.60.-i General studies of phase transitions -68.60.-p Physical properties of thin films, nonelectronic -87.16.Dg Membranes, bilayers, and vesicles

show abstract

First-order phase transition of the tethered membrane model on spherical surfaces

Endo

Koibuchi

2006

Nuclear Physics B

Self Cite

View full text Add to dashboard Cite

We found that three types of tethered surface model undergo a first-order phase transition between the smooth and the crumpled phase. The first and the third are discrete models of Helfrich, Polyakov, and Kleinert, and the second is that of Nambu and Goto. These are curvature models for biological membranes including artificial vesicles. The results obtained in this paper indicate that the first-order phase transition is universal in the sense that the order of the transition is independent of discretization of the Hamiltonian for the tethered surface model.

show abstract

Non-vanishing string tension of elastic membrane models

Cited by 11 publications

References 36 publications

Phase transitions of a tethered membrane model with intrinsic curvature on spherical surfaces with point boundaries

Phase transitions of a tethered membrane model with intrinsic curvature on spherical surfaces with point boundaries

Grand canonical simulations of string tension in elastic surface model

First-order phase transition of the tethered membrane model on spherical surfaces

Contact Info

Product

Resources

About