Bounds for the minimum step number of knots in the simple cubic lattice
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Publication:3402109
DOI10.1088/1751-8113/42/47/475006zbMath1185.82070OpenAlexW2014216589MaRDI QIDQ3402109
Yuanan Diao, Kai Ishihara, R. Scharein, Mariel Vazquez, Koya Shimokawa, Javier Arsuaga
Publication date: 2 February 2010
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/42/47/475006
Statistical mechanics of polymers (82D60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (16)
GENERALIZED ATMOSPHERIC SAMPLING OF KNOTTED POLYGONS ⋮ Knotting statistics for polygons in lattice tubes ⋮ Topological effects on the mechanical properties of polymer knots ⋮ Minimum lattice length and ropelength of knots ⋮ Minimum lattice length and ropelength of 2-bridge knots and links ⋮ The stick number of rail arcs ⋮ Bounds in simple hexagonal lattice and classification of 11-stick knots ⋮ Braid index bounds ropelength from below ⋮ Lattice stick number of knots ⋮ Lattice knots in a slab ⋮ The entropic pressure of lattice knots ⋮ Topological surfaces as gridded surfaces in geometrical spaces ⋮ The free energy of compressed lattice knots ⋮ Bounds for minimum step number of knots confined to tubes in the simple cubic lattice ⋮ The ropelength of complex knots ⋮ Lattice conformation of theta-curves accompanied with Brunnian property
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