The torsion of polygons and self-avoiding walks in the cubic lattice is a measure of the self-entanglement of these objects. We consider several definitions of torsion in polygons, and introduce a fugacity conjugate to the torsion in our models. We study the thermodynamic behaviour of these models using probabilistic methods anti rigorous methods from statistical mechanics. In particular, we prove that at least one of our models has a non-analyticity in its free energy, corresponding to a transition between phases with high and low torsion.
Torsion of polygons in Z(3)
ORLANDINI, ENZO;
1997
Abstract
The torsion of polygons and self-avoiding walks in the cubic lattice is a measure of the self-entanglement of these objects. We consider several definitions of torsion in polygons, and introduce a fugacity conjugate to the torsion in our models. We study the thermodynamic behaviour of these models using probabilistic methods anti rigorous methods from statistical mechanics. In particular, we prove that at least one of our models has a non-analyticity in its free energy, corresponding to a transition between phases with high and low torsion.File in questo prodotto:
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