Glassy Conformations in Wrinkled Membranes

Chaı̈eb, Sahraoui; Natrajan, Vinay K.; El-Rahman, Ahmed I. Abd

doi:10.1103/physrevlett.96.078101

Cited by 36 publications

(59 citation statements)

References 42 publications

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“…Accordingly, the folding phenomena are associated with a rich class of crumpling phenomena [3], which belong to a wider class of interfacial deformation phenomena [5]. Because of their biological and technological importance, the properties of randomly folded thin materials are now the subject of increasingly growing attention [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45].…”

Section: Introductionmentioning

confidence: 99%

Entropic rigidity of a crumpling network in a randomly folded thin sheet

Balankin

Huerta

2008

Phys. Rev. E

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We have studied experimentally and theoretically the response of randomly folded hyperelastic and elasto-plastic sheets on the uniaxial compression loading and the statistical properties of crumpling networks. The results of these studies reveal that the mechanical behavior of randomly folded sheets in the one-dimensional stress state is governed by the shape dependence of crumpling network entropy. Following to the original ideas by Edwards for granular materials, we derive an explicit force-compression relationship which precisely fit the experimental data for randomly folded matter.Experimental data also indicate that the entropic rigidity modulus scale as the power of the mass density of folded ball with the universal scaling exponent.

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Section: Introductionmentioning

confidence: 99%

Entropic rigidity of a crumpling network in a randomly folded thin sheet

Balankin

Huerta

2008

Phys. Rev. E

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“…Therefore it is interesting to see whether the crumpling transition occurs in such skeleton surface models. The transition is the one that has long been studied theoretically [11,12,13] and numerically [14,15,16,17,18,19,20,21] on the basis of the HPK model, and an experimental investigation on the transition has also been performed recently [2].…”

Section: Introductionmentioning

confidence: 99%

“…The mechanical H. Koibuchi Department of Mechanical and Systems Engineering, Ibaraki National College of Technology, Nakane 866, Hitachinaka, Ibaraki 312-8508, Japan E-mail: koibuchi@mech.ibaraki-ct.ac.jp strength of the cell is considered to be provided by cytoskeletons. Some artificial membranes are considered to have skeletons, because they are partly polymerized [2].…”

Section: Introductionmentioning

confidence: 99%

Phase Transition of Triangulated Spherical Surfaces with Elastic Skeletons

Koibuchi

2007

J Stat Phys

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A first-order transition is numerically found in a spherical surface model with skeletons, which are linked to each other at junctions. The shape of the triangulated surfaces is maintained by skeletons, which have a one-dimensional bending elasticity characterized by the bending rigidity b, and the surfaces have no two-dimensional bending elasticity except at the junctions. The surfaces swell and become spherical at large b and collapse and crumple at small b. These two phases are separated from each other by the first-order transition. Although both of the surfaces and the skeleton are allowed to self-intersect and, hence, phantom, our results indicate a possible phase transition in biological or artificial membranes whose shape is maintained by cytoskeletons.

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“…The phase transition of such crumpling phenomena is itself an interesting topic in biological and artificial membranes. Experimental investigations show that such phenomena can be seen in an artificial membrane [11]. In the string model context the path integration of the model describes the sum over surfaces in R 3 [12,13], and therefore it seems that the summation technology changes depending on whether the surfaces are smooth or crumpled.…”

Section: Introductionmentioning

confidence: 99%

Phase Transition of Meshwork Models for Spherical Membranes

Koibuchi

2007

J Stat Phys

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We have studied two types of meshwork models by using the canonical Monte Carlo simulation technique. The first meshwork model has elastic junctions, which are composed of vertices, bonds, and triangles, while the second model has rigid junctions, which are hexagonal (or pentagonal) rigid plates. Two-dimensional elasticity is assumed only at the elastic junctions in the first model, and no two-dimensional bending elasticity is assumed in the second model. Both of the meshworks are of spherical topology. We find that both models undergo a first-order collapsing transition between the smooth spherical phase and the collapsed phase. The Hausdorff dimension of the smooth phase is H ≃ 2 in both models as expected. It is also found that H ≃ 2 in the collapsed phase of the second model, and that H is relatively larger than 2 in the collapsed phase of the first model, but it remains in the physical bound, i.e., H < 3. Moreover, the first model undergoes a discontinuous surface fluctuation transition at the same transition point as that of the collapsing transition, while the second model undergoes a continuous transition of surface fluctuation. This indicates that the phase structure of the meshwork model is weakly dependent on the elasticity at the junctions.

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Glassy Conformations in Wrinkled Membranes

Cited by 36 publications

References 42 publications

Entropic rigidity of a crumpling network in a randomly folded thin sheet

Entropic rigidity of a crumpling network in a randomly folded thin sheet

Phase Transition of Triangulated Spherical Surfaces with Elastic Skeletons

Phase Transition of Meshwork Models for Spherical Membranes

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