Renormalization groups for two- and three-dimensional kinetic Ising models

1983 ◽  
Vol 27 (9) ◽  
pp. 5868-5871 ◽  
Author(s):  
Fritz Haake ◽  
Maciej Lewenstein
Keyword(s):  
Three Dimensional ◽  
Ising Models ◽  
Renormalization Groups ◽  
Kinetic Ising Models

The role of droplet fluctuations in kinetic Ising models

1992 ◽  
Vol 25 (20) ◽  
pp. L1195-L1202 ◽  
Author(s):  
I S Graham ◽  
M Grant
Keyword(s):  
Ising Models ◽  
Kinetic Ising Models

Nucleation and metastability in three-dimensional Ising models

1984 ◽  
Vol 36 (3-4) ◽  
pp. 447-470 ◽  
Author(s):  
Dieter W. Heermann ◽  
Antonio Coniglio ◽  
W. Klein ◽  
Dietrich Stauffer
Keyword(s):  
Three Dimensional ◽  
Ising Models

scholarly journals LOOPS, SURFACES AND GRASSMANN REPRESENTATION IN TWO- AND THREE-DIMENSIONAL ISING MODELS

1999 ◽  
Vol 14 (29) ◽  
pp. 4549-4574 ◽  
Author(s):  
C. R. GATTRINGER ◽  
S. JAIMUNGAL ◽  
G. W. SEMENOFF
Keyword(s):  
Three Dimensional ◽  
Ising Models ◽  
Algebraic Representation ◽  
Simple Derivation ◽  
Counting Problems ◽  
Intrinsic Geometry ◽  
Geometry Factor ◽  
Loop Expansion ◽  
Loop Surface

We construct an algebraic representation of the geometrical objects (loop and surface variables) dual to the spins in 2 and 3D Ising models. This algebraic calculus is simpler than dealing with the geometrical objects, in particular when analyzing geometry factors and counting problems. For the 2D case we give the corrected loop expansion of the free energy and the radius of convergence for this series. For the 3D case we give a simple derivation of the geometry factor which prevents overcounting of surfaces in the intrinsic geometry representation of the partition function, and find a classification of the surfaces to be summed over. For 2 and 3D we derive a compact formula for 2n-point functions in loop (surface) representation.

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