1986
DOI: 10.1063/1.451345
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Exact enumerations of self-avoiding lattice walks with different nearest-neighbor contacts

Abstract: Exact enumeration of selfavoiding walks on the cubic lattice terminally attached to an interface Self-avoiding walks on a lattice with m inner contacts are investigated as a model of a polymer chain in solutions for different solvents. Values of several critical exponents are estimated from the exact enumeration data for up to 22 and 20 steps on the square and tetrahedral lattices, respectively. The values of v and r estimated for neighbor-avoiding walks (m = 0) are in good agreement with those for self-avoidi… Show more

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Cited by 22 publications
(11 citation statements)
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“…The expected packing density is found to decrease with chain length, which is consistent with the scaling relationship of void size and chain length shown in Figure 8c. The compactness ρ of chain polymer has been the subject of several studies [41,12]. The asymptotic value of ρ we found is 0.18, slightly different from that reported in [41] (ρ = 0.16), and is within the range of 0.16 -0.24 reported in [12].…”
Section: Voids Distribution Of Long Chainscontrasting
confidence: 71%
See 1 more Smart Citation
“…The expected packing density is found to decrease with chain length, which is consistent with the scaling relationship of void size and chain length shown in Figure 8c. The compactness ρ of chain polymer has been the subject of several studies [41,12]. The asymptotic value of ρ we found is 0.18, slightly different from that reported in [41] (ρ = 0.16), and is within the range of 0.16 -0.24 reported in [12].…”
Section: Voids Distribution Of Long Chainscontrasting
confidence: 71%
“…The compactness ρ of chain polymer has been the subject of several studies [41,12]. The asymptotic value of ρ we found is 0.18, slightly different from that reported in [41] (ρ = 0.16), and is within the range of 0.16 -0.24 reported in [12].…”
Section: Voids Distribution Of Long Chainscontrasting
confidence: 71%
“…Topological contacts of various orders are operative in the ensemble of conformations belonging to the high density regime under study. In conformity with previous work (Ishinabe and Chikahisa, 1986;Chan and Dill, 1989a, b;Chan and Dill, 1990a, b;Bahar and Jernigan, 1994), a topological contact refers to the occupancy of two adjacent sites in the lattice by a pair of non-bonded residues, assuming the residues along the chain to be connected to each other by virtual bonds. The contact order refers to the number of intervening bonds in the sequence between a pair of residues in contact.…”
Section: Introductionsupporting
confidence: 76%
“…On-lattice simulations of self-avoiding walks (SAWs) have proven to be quite informative in previous studies of highly compact polymeric structures (Wall and Whittington, 1969;Barber and Ninham, 1970;McKenzie, 1973;Schmalz et al, 1984;Ishinabe and Chikahisa, 1986). Entire allocation of space without violation of the volume exclusion requirement and complete sampling of the conformational subspace of compact states are the two main advantages of this approach.…”
Section: Model and Methods Lattice Simulations Of Model Proteinsmentioning
confidence: 99%
“…Thus, there is a negative correlation between the global and local stiffnesses. Figure 5 also shows points corresponding to the self-avoiding walk (ε → 0) and neighbor-avoiding walk (ε → ∞) [27,35,36]. The inset of Fig.…”
Section: Negative Energetic Elasticitymentioning
confidence: 99%