Lattice knots in a slab

DOI10.1088/1742-5468/2012/09/P09004zbMath1456.82133arXiv1204.6674MaRDI QIDQ3301379

Andrew Rechnitzer, E. J. Janse van Rensburg, D. Gasumova

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6674

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Ring polymer chains confined in a slit geometry of two parallel walls: the massive field theory approach ⋮ Topological surfaces as gridded surfaces in geometrical spaces ⋮ Asymptotic laws for random knot diagrams

Cites Work

• Loose, flat knots in collapsed polymers
• Bounds for the minimum step number of knots confined to slabs in the simple cubic lattice
• GENERALIZED ATMOSPHERIC SAMPLING OF KNOTTED POLYGONS
• The compressibility of minimal lattice knots
• Bounds for the minimum step number of knots in the simple cubic lattice
• The knot probability in lattice polygons
• Generalized atmospheric sampling of self-avoiding walks
• On the topology of a polymer ring
• The BFACF algorithm and knotted polygons
• MINIMAL KNOTTED POLYGONS ON THE CUBIC LATTICE
• Knot probability for lattice polygons in confined geometries
• Squeezing knots
• Knotting in stretched polygons
• Predicting optimal lengths of random knots

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