期刊
AMERICAN JOURNAL OF PHYSICS
卷 86, 期 2, 页码 86-94出版社
AMER ASSOC PHYSICS TEACHERS
DOI: 10.1119/1.5003376
关键词
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The worm-like chain model is a simple continuum model for the statistical mechanics of a flexible polymer subject to an external force. We offer a tutorial introduction to it using three approaches. First, we use a mesoscopic view, treating a long polymer (in two dimensions) as though it were made of many groups of correlated links or clinks, allowing us to calculate its average extension as a function of the external force via scaling arguments. We then provide a standard statistical mechanics approach, obtaining the average extension by two different means: the equipartition theorem and the partition function. Finally, we work in a probabilistic framework, taking advantage of the Gaussian properties of the chain in the large-force limit to improve upon the previous calculations of the average extension. (C) 2018 American Association of Physics Teachers.
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