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Critical properties of the dynamical random surface with extrinsic curvature

Ambjørn, J. ; Jurkiewicz, J. ; Varsted, S. ; Irbäck, A. LU orcid and Petersson, B. (1992) In Physics Letters B 275(3-4). p.295-303
Abstract

We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure directly the string tension. We show that a most probably second- order phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology appears also for a toroidal surface for the same finite value of the coupling constant of the extrinsic curvature term. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of... (More)

We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure directly the string tension. We show that a most probably second- order phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology appears also for a toroidal surface for the same finite value of the coupling constant of the extrinsic curvature term. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of the theory, when approaching the critical point.

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author
; ; ; and
publishing date
type
Contribution to journal
publication status
published
subject
in
Physics Letters B
volume
275
issue
3-4
pages
9 pages
publisher
Elsevier
external identifiers
  • scopus:0000999868
ISSN
0370-2693
DOI
10.1016/0370-2693(92)91593-X
language
English
LU publication?
no
id
e0871029-335a-4db0-a90c-983ce77bd817
date added to LUP
2019-05-14 15:03:14
date last changed
2021-10-03 03:39:32
@article{e0871029-335a-4db0-a90c-983ce77bd817,
  abstract     = {{<p>We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure directly the string tension. We show that a most probably second- order phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology appears also for a toroidal surface for the same finite value of the coupling constant of the extrinsic curvature term. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of the theory, when approaching the critical point.</p>}},
  author       = {{Ambjørn, J. and Jurkiewicz, J. and Varsted, S. and Irbäck, A. and Petersson, B.}},
  issn         = {{0370-2693}},
  language     = {{eng}},
  month        = {{01}},
  number       = {{3-4}},
  pages        = {{295--303}},
  publisher    = {{Elsevier}},
  series       = {{Physics Letters B}},
  title        = {{Critical properties of the dynamical random surface with extrinsic curvature}},
  url          = {{http://dx.doi.org/10.1016/0370-2693(92)91593-X}},
  doi          = {{10.1016/0370-2693(92)91593-X}},
  volume       = {{275}},
  year         = {{1992}},
}