Mathematics – General Mathematics
Scientific paper
2008-02-08
Mathematics
General Mathematics
45 pages
Scientific paper
Simple cubic lattice (SC lattice) can be viewed as plane triangular lattice (PT lattice) by viewing it along its principle diagonal lines. By viewing thus we establish the exact one-to-one correspondence between the closed graphs on SC lattice and the corresponding closed graphs on PT lattice. We thus see that the propagator for PT lattice (with suitable modifications) can be used to solve, at least in principle, the 3D Ising problem for SC lattice in the absence of external magnetic field. A new method is then proposed to generate high temperature expansion for the partition function. This method is applicable to 2D as well as 3D lattices. This method does not require explicit counting of closed graphs and this counting is achieved in an indirect way and thus exact series expansion can be achieved up to any sufficiently large order.
No associations
LandOfFree
Ising Problem on Simple Cubic Lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ising Problem on Simple Cubic Lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ising Problem on Simple Cubic Lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-508112