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The shape of linear and star‐branched nonreversal random walks embedded in a tetrahedral lattice
Author(s) -
Zifferer Gerhard
Publication year - 1995
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.1995.040040109
Subject(s) - radius of gyration , extrapolation , monte carlo method , random walk , tetrahedron , lattice (music) , statistical physics , asymmetry , linear polymer , mathematics , gyration , star polymer , star (game theory) , physics , geometry , polymer , mathematical analysis , quantum mechanics , nuclear magnetic resonance , statistics , acoustics , polymerization
The shape‐asymmetry of linear and star‐branched nonreversal random walk polymers on a tetrahedral lattice is studied by means of a Monte Carlo simulation. Properties characteristic of the instantaneous shape based on the mean‐square radius of gyration and its principal components as well as based on the end‐to‐end distance are discussed. Short‐chain effects are characterized by polynomial expressions (power series of N −1 ), simultaneously by extrapolation yielding a result in the limit of infinitely large configurations.