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New approaches to shapes of arbitrary random walks

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  • Wei, Gaoyuan

Abstract

The problem of the shape of a random object such as a flexible polymer chain was first tackled by Kuhn nearly thirty years after the answer to the probability distribution of its size was publicly sought for by Pearson in 1905. Since then, significant progress in the field has been made, but the important task of evaluatin both analytically and accurately averaged individual principal components of the shape or inertia tensor for a walk of a certain architectural type remains unfinished. We have recently developed a new and general formalism for both exact and approximate calculations of these and other averages such as asphericity and prolateness parameters, which is illustrated here for an end-looped random walk and a self-avoiding or Edwards chain. We find that this combined open and closed random walks has surprisingly larger shape asymmetry than a simply open walk despite its smaller size.

Suggested Citation

  • Wei, Gaoyuan, 1995. "New approaches to shapes of arbitrary random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 222(1), pages 155-160.
    • Handle: RePEc:eee:phsmap:v:222:y:1995:i:1:p:155-160
    DOI: 10.1016/0378-4371(95)00259-6
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    References listed on IDEAS

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    1. Michelsen Johannes, 1986. "Zielvorstellungen der Mitglieder landwirtschaftlicher Genossenschaften - Eine empirische Studie am Beispiel dänischer Genossenschaftsmolkereien," Zeitschrift für das gesamte Genossenschaftswesen, De Gruyter, vol. 36(1), pages 216-226, September.
    2. Gaoyuan Wei & B. Eichinger, 1993. "Asymptotic expansions of some matrix argument hypergeometric functions, with applications to macromolecules," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(3), pages 467-475, September.
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