The Boundary Conditions Geometry in Lattice-Ising Model

Details The Boundary Conditions Geometry in Lattice-Ising Model The Boundary Conditions Geometry in Lattice-Ising Model

2010-01-05

arxiv.org/abs/1001.0630v1

published in EJTP 7 (2005) 12-18

Physics

General Physics

7pages, 3figures

Scientific paper

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.

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