The Boundary Conditions Geometry in Lattice-Ising Model
General Physics
2010-01-06 v1
Abstract
We found that the differential topology of the lattice-system of Ising model determines whether there can be the continuous phase transition, the geometric topology of the space the lattice-system is embedded in determines whether the system can become ordered. If the system becomes ordered it may not admit the continuous phase transition. The spin-projection orientations are strongly influenced by the geometric topology of the space the lattice-system is embedded in.
Keywords
Cite
@article{arxiv.1001.0630,
title = {The Boundary Conditions Geometry in Lattice-Ising Model},
author = {You-gang Feng},
journal= {arXiv preprint arXiv:1001.0630},
year = {2010}
}
Comments
7pages, 3figures