Spanning tree approximations

The interference of cyclization should be, however, considered for any new system and examined experimentally. The spanning-tree approximation with properly selected chain flexibility parameters may be suitable. One can also use the simulation in three-dimensional space mentioned in Section 3.6. 

Sol fraction 17, 25, 35, 39, 50 Soluble fractions 123,130 Spanning tree approximation 22 Stable fracture 134 Static light-scattering 7 Statistical links 126 Stick-slip fracture 133, 135 Strain hardening 145 Stress intensity factor 133 —strain measurement 42 Substitution effect 21, 28, 30... 

Computer simulation in space takes into account spatial correlations of any range which result in Intramolecular reaction. The lattice percolation was mostly used. It was based on random connections of lattice points of rigid lattice. The main Interest was focused on the critical region at the gel point, l.e., on critical exponents and scaling laws between them. These exponents were found to differ from the so-called classical ones corresponding to Markovian systems irrespective of whether cycllzatlon was approximated by the spanning-tree... 

In a second version of the reference model the exactly calculated rings were limited to V = 3 and this version was termed Limited Number of Rings model (LNR) The third version called hybride model the first three or four rings were exactly calculated, and an approximation to calculate the larger rings was added. The most important aspect of the work of Valles et al. is the comparison of the reference model (first version) with the spanning tree model and with the rate theory . For this comparison the mathematical evaluation of those models was simplified by the recursive method, but the results were identical with those obtained by Gordon et al. [24, 25] or by Stepto et al. [28]. All comparisons were illustrated in two ways ... 

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