A HEURISTIC STRING-THEORETIC APPROACH TO THE 3D ISING MODEL

1992 ◽  
Vol 07 (13) ◽  
pp. 1123-1127
Author(s):  
M. A. MOJUMDER ◽  
MESFIN TADASSE
Keyword(s):  
Fractal Dimension ◽  
Numerical Calculation ◽  
Ising Model ◽  
Critical Exponents ◽  
Field Theories ◽  
Theoretic Approach ◽  
Space Distance ◽  
Good Agreement ◽  
3D Ising Model ◽  
String Worldsheet

We have made a modification of a very heuristic relationship available in the literature between the parameter space distance and the embedding space distance on the string worldsheet. This modification along with the input of numerically determined values of the fractal dimension of the fermionic worldsheet and of the Wilson scaling dimensions of conventional ψ2 and ψ4-field theories enables a numerical calculation of the critical exponents α and β of the 3D Ising model. These values are in very good agreement with the experimental and other theoretical values.

(2, 0) SUPERSYMMETRIC STRING THEORY AND THE CRITICAL EXPONENTS OF THE 3D ISING MODEL

1991 ◽  
Vol 06 (29) ◽  
pp. 2687-2691 ◽  
Author(s):  
M. A. MOJUMDER
Keyword(s):  
Ising Model ◽  
String Theory ◽  
Excellent Agreement ◽  
Critical Exponents ◽  
World Sheet ◽  
Theoretical Results ◽  
Matter Fields ◽  
3D Ising Model

Critical exponents α and β for the 3D Ising model have been obtained by a study of partial non-renormalization of superconformal dimensions of matter fields on (2, 0) supersymmetric string world-sheet. An ansatz has been used to calculate the exact numerical values which are in excellent agreement with experimental and other theoretical results.

scholarly journals Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents

2014 ◽  
Vol 157 (4-5) ◽  
pp. 869-914 ◽  
Author(s):  
Sheer El-Showk ◽  
Miguel F. Paulos ◽  
David Poland ◽  
Slava Rychkov ◽  
David Simmons-Duffin ◽  
...  
Keyword(s):  
Ising Model ◽  
Critical Exponents ◽  
Conformal Bootstrap ◽  
3D Ising Model

scholarly journals Line defects in the 3d Ising model

2013 ◽  
Vol 2013 (7) ◽  
Author(s):  
M. Billó ◽  
M. Caselle ◽  
D. Gaiotto ◽  
F. Gliozzi ◽  
M. Meineri ◽  
...  
Keyword(s):  
Ising Model ◽  
Line Defects ◽  
3D Ising Model

Influence of the Morphology on the Optical Properties of Nanocermet Films: A Renormalization Approach

1990 ◽  
Vol 195 ◽  
Author(s):  
S. Berthier ◽  
K. Driss-Khodja
Keyword(s):  
Optical Properties ◽  
Critical Exponents ◽  
Inhomogeneous Media ◽  
Experimental Results ◽  
Percolation Transition ◽  
Position Space ◽  
Renormalization Approach ◽  
2D And 3D ◽  
Good Agreement ◽  
Effective Medium Models

ABSTRACTIn order to take into account the actual morphology of the inhomogeneous media, we have developed, effective medium models based on a 2D and 3D position space renormalization /1,2/. These models predict the dipolar resonance and the percolation transition with critical exponents in good agreement with theoretical values and fairly reproduce most of the experimental results, whatever the concentration is. Further more, this allows a valuable comparison of the predictions of our models when applied on different lattices like real digitized TEM of cermet films or randomly occupied lattices.

scholarly journals Clifford algebra approach of 3D Ising model

2018 ◽  
Vol 29 (1) ◽  
Author(s):  
Zhidong Zhang ◽  
Osamu Suzuki ◽  
Norman H. March
Keyword(s):  
Ising Model ◽  
Clifford Algebra ◽  
Algebra Approach ◽  
3D Ising Model

scholarly journals The magnetization of the 3D Ising model

1996 ◽  
Vol 29 (17) ◽  
pp. 5727-5733 ◽  
Author(s):  
A L Talapov ◽  
H W J Blöte
Keyword(s):  
Ising Model ◽  
3D Ising Model

Non-Equilibrium Critical Relaxation of Heisenberg Ferromagnets with Long-Range Correlated Defects

2012 ◽  
Vol 190 ◽  
pp. 39-42
Author(s):  
M. Medvedeva ◽  
Pavel V. Prudnikov
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Behavior ◽  
Critical Exponents ◽  
Heisenberg Model ◽  
Three Dimensional ◽  
Initial State ◽  
Short Time ◽  
Theoretic Description ◽  
Good Agreement

The dynamic critical behavior of the three-dimensional Heisenberg model with longrangecorrelated disorder was studied by using short-time Monte Carlo simulations at criticality.The static and dynamic critical exponents are determined. The simulation was performed fromordered initial state. The obtained values of the exponents are in a good agreement with resultsof the field-theoretic description of the critical behavior of this model in the two-loopapproximation.

scholarly journals The 3D Ising model represented as random surfaces

1993 ◽  
Vol 303 (3-4) ◽  
pp. 327-333 ◽  
Author(s):  
J. Ambjørn ◽  
A. Sedrakyan ◽  
G. Thorleifsson
Keyword(s):  
Ising Model ◽  
Random Surfaces ◽  
3D Ising Model
Sign in / Sign up

Export Citation Format

Share Document