Van der Waerden's Colouring Theorem and Classical Spin Systems

Details Van der Waerden's Colouring Theorem and Classical Spin Systems Van der Waerden's Colouring Theorem and Classical Spin Systems

1996-06-04

arxiv.org/abs/cond-mat/9606009v1

Physics

Condensed Matter

Latex, 10 pages

Scientific paper

We find a non-invertible matrix representation for Van der Waerden's
colouring theorem for two distinct colours in a one dimensional periodic
lattice. Using this,an infinite one dimensional antiferromagnetic Ising system
is mapped to a pseudo-ferromagnetic one, thereby relating the couplings. All
this is reminiscent of renormalisation group.

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