An Analytic Formula for the Excluded Volume between a Sphere and a Freely Jointed Chain
✍ Scribed by Leo Lue
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 113 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0021-9797
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✦ Synopsis
NOTE
An Analytic Formula for the Excluded Volume between a Sphere and a Freely Jointed Chain
An analytical expression for the excluded volume between a sphere and a freely jointed chain as a function of sphere radius, Kuhn segment length, and number of Kuhn segments is developed. one finds that the scaled excluded volume, E, is only a function of two This expression agrees well with Monte Carlo calculations. In addivariables, x and y, where x Å N 01/2 and y Å R/l. tion, it reduces to the proper form in limits when the Kuhn segment There are three limits in which the excluded volume can be expressed length is much larger and much smaller than the sphere radius. analytically. One simple limit is attained when the chain consists of only one Kuhn segment, that is, N Å 1. In this case, the chain is a rigid cylinder ᭧ 1998 Academic Press of length, l, and radius equal to zero. The excluded volume between this