Van der Waerden's Colouring Theorem and Classical Spin Systems
Condensed Matter
2015-06-25 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/9606009,
title = {Van der Waerden's Colouring Theorem and Classical Spin Systems},
author = {R. Chaudhury and D. Gangopadhyay and S. K. Paul},
journal= {arXiv preprint arXiv:cond-mat/9606009},
year = {2015}
}
Comments
Latex, 10 pages