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- W2000416162 abstract "A chain consisting of n links with excluded volume (EV) interactions is described by a multilevel hierarchy of segments of increasing length, joined together in succession. Thus the second level segments, t=2, consist of s links, the third consist of s second segments (or s2 links), etc., t=1, 2, ···T, until the chain length is reached with the longest T segment, n=sT. The configurations for this model chain are constructed with a stochastic process which links the segments together, head to tail, with a probability that favors their orientation in the forward direction. Such a partly oriented linkage on one hand, decreases the multiplicity of the chain configurations but, on the other, increases the Boltzmann factor due to EV interactions. The linking probability at each level is, therefore, determined with a variation principle that maximizes the product of these two quantities. An approximate analytical solution shows, that the chain expansion coefficient (accumulated over all T levels) obeys the Fixman equation α3∼z. It seems that a computer execution of the requisite stochastic process would permit a further study of this, and of related, models for chains with EV." @default.
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- W2000416162 date "1971-09-15" @default.
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- W2000416162 title "Stochastic Model for Chains with Excluded Volume" @default.
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- W2000416162 doi "https://doi.org/10.1063/1.1676492" @default.
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