Equivalence Transformations among Ising Models ()
ABSTRACT
Using
topology, fractal analysis and investigation of lattice formation process we
find two types of equivalence transformations among Ising models: topological
equivalence transformation and formation equivalence transformation. With the help
of the transformations and the known data of the critical points of simple
cubic (sc) lattice and planar square (sq) lattice we get directly the critical
points for face-centered cubic (fcc) lattice, body-centered cubic (bcc) lattice
and diamond (d) lattice. The transformation itself results no error in the
calculation. Other than Monte Carlo method and series expansion approach the
equivalence transformations help us simplify much more greatly the calculation
of the critical points for the three-dimensional models and understand much
more deeply the structural connection among Ising models.
Share and Cite:
Feng, Y. (2015) Equivalence Transformations among Ising Models.
Journal of Modern Physics,
6, 16-21. doi:
10.4236/jmp.2015.61003.
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