Self‐avoiding walks on a simple cubic lattice

1993 ◽  
Vol 99 (5) ◽  
pp. 3976-3982 ◽  
Author(s):  
N. Eizenberg ◽  
J. Klafter
Keyword(s):  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Self Avoiding Walks

Upper Bounds for the Connective Constant of Self-Avoiding Walks

1993 ◽  
Vol 2 (2) ◽  
pp. 115-136 ◽  
Author(s):  
Sven Erick Alm
Keyword(s):  
Large Class ◽  
Triangular Lattice ◽  
Upper Bounds ◽  
Square Lattice ◽  
Numerical Application ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Connective Constant ◽  
Self Avoiding Walks

We present a method for obtaining upper bounds for the connective constant of self-avoiding walks. The method works for a large class of lattices, including all that have been studied in connection with self-avoiding walks. The bound is obtained as the largest eigenvalue of a certain matrix. Numerical application of the method has given improved bounds for all lattices studied, e.g. μ < 2.696 for the square lattice, μ < 4.278 for the triangular lattice and μ < 4.756 for the simple cubic lattice.

Self-avoiding walks on the simple cubic lattice

2000 ◽  
Vol 33 (34) ◽  
pp. 5973-5983 ◽  
Author(s):  
D MacDonald ◽  
S Joseph ◽  
D L Hunter ◽  
L L Moseley ◽  
N Jan ◽  
...  
Keyword(s):  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Self Avoiding Walks

scholarly journals Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice

2014 ◽  
Vol 31 (7) ◽  
pp. 070503 ◽  
Author(s):  
Shun Wang ◽  
Zhi-Yuan Xie ◽  
Jing Chen ◽  
Bruce Normand ◽  
Tao Xiang
Keyword(s):  
Phase Transitions ◽  
Potts Models ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice

Finite-size scaling of the three-state Potts model on a simple cubic lattice

1990 ◽  
Vol 59 (5-6) ◽  
pp. 1397-1429 ◽  
Author(s):  
M. Fukugita ◽  
H. Mino ◽  
M. Okawa ◽  
A. Ukawa
Keyword(s):  
Potts Model ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Cubic Lattice ◽  
Size Scaling ◽  
Simple Cubic ◽  
Simple Cubic Lattice
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