TY - JOUR
T1 - Enumeration of 1-slab lattice links
AU - Oh, Seungsang
N1 - Funding Information:
The author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. NRF-2017R1A2B2007216).
PY - 2019/9/1
Y1 - 2019/9/1
N2 - Lattice knot statistics which is the study of knotted polygons in the simple cubic lattice have been deeply studied. In this paper, we discuss the enumeration of lattice links and fully-packed lattice links confined to slabs of width 1, as a model for multi-component ring polymers in physics. Moreover, the generating functions for such 1-slab lattice links with respect to the total length and the number of sticks are determined. We also analyze the asymptotic behavior of the growth rates of their cardinality.
AB - Lattice knot statistics which is the study of knotted polygons in the simple cubic lattice have been deeply studied. In this paper, we discuss the enumeration of lattice links and fully-packed lattice links confined to slabs of width 1, as a model for multi-component ring polymers in physics. Moreover, the generating functions for such 1-slab lattice links with respect to the total length and the number of sticks are determined. We also analyze the asymptotic behavior of the growth rates of their cardinality.
KW - Lattice enumeration
KW - Lattice knot
KW - Lattice link
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U2 - 10.1016/j.topol.2019.06.011
DO - 10.1016/j.topol.2019.06.011
M3 - Article
AN - SCOPUS:85067839918
SN - 0166-8641
VL - 264
SP - 158
EP - 166
JO - Topology and its Applications
JF - Topology and its Applications
ER -