Some MC results of random surfaces with extrinsic curvature

1988 ◽  
Vol 4 ◽  
pp. 88-92 ◽  
Author(s):  
M. Baig ◽  
D. Espriu ◽  
J.F. Wheater
Keyword(s):  
Extrinsic Curvature ◽  
Random Surfaces

scholarly journals SPECTRUM OF THE LOOP TRANSFER MATRIX ON FINITE LATTICES

2001 ◽  
Vol 16 (16) ◽  
pp. 1069-1077 ◽  
Author(s):  
GEORGIOS DASKALAKIS ◽  
GEORGE K. SAVVIDY
Keyword(s):  
Transfer Matrix ◽  
Phase Structure ◽  
Extrinsic Curvature ◽  
Critical Behaviour ◽  
Equivalent Representation ◽  
Random Surfaces ◽  
Finite Dimensional ◽  
Curvature Term ◽  
Finite Lattices ◽  
Euclidean Lattice

We consider a model of random surfaces with extrinsic curvature term embedded into 3-D Euclidean lattice Z3. On a 3-D Euclidean lattice it has an equivalent representation in terms of the transfer matrix K(Qi, Qf), which describes the propagation of the loops Q. We study the spectrum of the transfer matrix K(Qi, Qf) on finite-dimensional lattices. The renormalisation group technique is used to investigate the phase structure of the model and its critical behaviour.

Weak self-avoidance and crumpling in random surfaces with extrinsic curvature

1991 ◽  
Vol 273 (4) ◽  
pp. 380-388 ◽  
Author(s):  
C.F. Baillie ◽  
D.A. Johnston
Keyword(s):  
Extrinsic Curvature ◽  
Random Surfaces

scholarly journals The theory of dynamical random surfaces with extrinsic curvature

1993 ◽  
Vol 393 (3) ◽  
pp. 571-600 ◽  
Author(s):  
J. Ambjørn ◽  
A. Irbäck ◽  
J. Jurkiewicz ◽  
B. Petersson
Keyword(s):  
Extrinsic Curvature ◽  
Random Surfaces

AN IMPROVED METROPOLIS ALGORITHM FOR THE SIMULATION OF RANDOM SURFACES

1993 ◽  
Vol 08 (13) ◽  
pp. 1221-1231
Author(s):  
M. G. HARRIS ◽  
J. F. WHEATER
Keyword(s):  
Critical Point ◽  
Extrinsic Curvature ◽  
Metropolis Algorithm ◽  
Random Surface ◽  
Random Surfaces ◽  
Cpu Time

For a random surface with extrinsic curvature the performance of a Metropolis simulation near the critical point can be improved by modifying the algorithm. The errors for various quantities can be reduced slightly whilst at the same time achieving a reduction in CPU time of order 30%.

Crumpling in dynamically triangulated random surfaces with extrinsic curvature

1990 ◽  
Vol 335 (2) ◽  
pp. 469-501 ◽  
Author(s):  
Clive F. Baillie ◽  
Desmond A. Johnston ◽  
Roy D. Williams
Keyword(s):  
Extrinsic Curvature ◽  
Random Surfaces

scholarly journals The phase diagram of fluid random surfaces with extrinsic curvature

1993 ◽  
Vol 394 (3) ◽  
pp. 791-821 ◽  
Author(s):  
Mark Bowick ◽  
Paul Coddington ◽  
Leping Han ◽  
Geoffrey Harris ◽  
Enzo Marinari
Keyword(s):  
Phase Diagram ◽  
Extrinsic Curvature ◽  
Random Surfaces

scholarly journals Fluid random surfaces with extrinsic curvature. II

1993 ◽  
Vol 317 (1-2) ◽  
pp. 102-106 ◽  
Author(s):  
Konstantinos Anagnostopoulos ◽  
Mark Bowick ◽  
Paul Coddington ◽  
Marco Falcioni ◽  
Leping Han ◽  
...  
Keyword(s):  
Extrinsic Curvature ◽  
Random Surfaces
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