Thoughts on lattice knot statistics

DOI10.1007/s10910-008-9364-9zbMath1258.82003OpenAlexW2053044507MaRDI QIDQ1029712

E. J. Janse van Rensburg

Publication date: 13 July 2009

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-008-9364-9

zbMATH Keywords

connective constantstatistical topologylattice knotsring polymer

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (6)

Knotting statistics for polygons in lattice tubes ⋮ Stick number of tangles ⋮ Lattice stick number of knots ⋮ The compressibility of minimal lattice knots ⋮ Enumeration of 1-slab lattice links ⋮ Bounds for minimum step number of knots confined to tubes in the simple cubic lattice

Cites Work

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• The BFACF algorithm and knotted polygons
• Ergodicity of the BFACF algorithm in three dimensions
• THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS
• The shapes of self-avoiding polygons with torsion
• Torsion of polygons in
• The Writhe of Knots in the Cubic Lattice
• The dimensions of knotted polygons
• Entropic exponents of lattice polygons with specified knot type
• On the Number of Self-Avoiding Walks. II
• On the Number of Self-Avoiding Walks

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