Oriented Polymers: A Transfer Matrix Calculation
Condensed Matter
2009-10-22 v2 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
Based on transfer matrix techniques and finite size scaling, we study the oriented polymer (self-avoiding walk) with nearest neighbor interaction. In the repulsive regime, various critical exponents are computed and compared with exact values predicted recently. The polymer is also found to undergo a spiral transition for sufficiently strong attractive interaction. The fractal dimension of the polymer is computed in the repulsive, attractive regimes and at the spiral transition point. The later is found to be different from that at the collapse transition of ordinary self-avoiding walk.
Keywords
Cite
@article{arxiv.cond-mat/9412042,
title = {Oriented Polymers: A Transfer Matrix Calculation},
author = {W. M. Koo},
journal= {arXiv preprint arXiv:cond-mat/9412042},
year = {2009}
}
Comments
30 pages, uuencoded compressed postscript file. Revised version accepted for publication in J. Stat. Phys.; major correction on collapse transition