2008
DOI: 10.1140/epjb/e2008-00454-8
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Non-trivial effect of the in-plane shear elasticity on the phase transitions of fixed-connectivity meshwork models

Abstract: Abstract. We numerically study the phase structure of two types of triangulated spherical surface models, which includes an in-plane shear energy in the Hamiltonian, and we found that the phase structure of the models is considerably influenced by the presence of the in-plane shear elasticity. The models undergo a first-order collapsing transition and a first-order (or second-order) transition of surface fluctuations; the latter transition was reported to be of second-order in the first model without the in-pl… Show more

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Cited by 2 publications
(2 citation statements)
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“…where θ i is an internal angle i of a triangle, and N T (= 2N −4) is the total number of triangles. S 3 reflects an in-plane deformation of triangulated surfaces [33], and is not included in the Hamiltonian. is also expected to be discontinuous at sufficiently large N just like the quantities S 2 and X 2 , which characterize the out of plane deformation.…”
Section: Snapshotsmentioning
confidence: 99%
See 1 more Smart Citation
“…where θ i is an internal angle i of a triangle, and N T (= 2N −4) is the total number of triangles. S 3 reflects an in-plane deformation of triangulated surfaces [33], and is not included in the Hamiltonian. is also expected to be discontinuous at sufficiently large N just like the quantities S 2 and X 2 , which characterize the out of plane deformation.…”
Section: Snapshotsmentioning
confidence: 99%
“…where θ i is an internal angle i of a triangle, and N T (= 2N −4) is the total number of triangles. S 3 reflects an in-plane deformation of triangulated surfaces [33], and is not included in the Hamiltonian.…”
Section: Snapshotsmentioning
confidence: 99%