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ID 30181
フルテキストURL
著者
Nishiyama, Yoshihiro Okayama University Kaken ID publons researchmap
抄録

Folding of the triangular lattice in a discrete three-dimensional space is investigated numerically. Such "discrete folding" has come about through theoretical investigation, since Bowick and co-workers introduced it as a simplified model for the crumpling of the phantom polymerized membranes. So far, it has been analyzed with the hexagon approximation of the cluster variation method (CVM). However, the possible systematic error of the approximation was not fully estimated; in fact, it has been known that the transfer-matrix calculation is limited in the tractable strip widths Lless than or equal to6. Aiming to surmount this limitation, we utilized the density-matrix renormalization group. Thereby, we succeeded in treating strip widths up to L=29 which admit reliable extrapolations to the thermodynamic limit. Our data indicate an onset of a discontinuous crumpling transition with the latent heat substantially larger than the CVM estimate. It is even larger than the latent heat of the planar (two-dimensional) folding, as first noticed by the preceding CVM study. That is, contrary to our naive expectation, the discontinuous character of the transition is even promoted by the enlargement of the embedding-space dimensions. We also calculated the folding entropy, which appears to lie within the best analytical bound obtained previously via combinatorics arguments.

キーワード
crystalline random surfaces
crumpling transition
statisticalmechanics
tethered surfaces
membranes
phase
備考
Digital Object Identifer:10.1103/PhysRevE.70.016101
Published with permission from the copyright holder. This is the institute's copy, as published in Physical Review E, July 2004, Volume 70, Issue 1, Pages 7.
Publisher URL:http://dx.doi.org/10.1103/PhysRevE.70.016101
Direct access to Thomson Web of Science record
Copyright © 2004 The American Physical Society. All rights reserved.
発行日
2004-7
出版物タイトル
Physical Review E
70巻
1号
資料タイプ
学術雑誌論文
言語
English
査読
有り
DOI
Web of Science KeyUT
Submission Path
electricity_and_magnetism/176