STATISTICAL MECHANICS OF POLYMERS WITH EXCLUDED VOLUME
STATISTICAL MECHANICS OF POLYMERS WITH EXCLUDED VOLUME
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DOI：
10.1088/0370-1328/85/4/301
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发表时间：
1965-01-01
影响因子：
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通讯作者：
EDWARDS, SF
中科院分区：
文献类型：
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作者：
EDWARDS, SF
本文研究了由长度为l、排斥体积为v的自由铰链组成的聚合物构型的概率分布。它示出的聚合物与自身的相互作用可以表示考虑聚合物的影响下的自洽场，减少了问题的一个方程，如Hartree方程的原子。这可以渐近地求解，给出聚合物的第n个连接通过点r的概率为Script N（L）exp [-27 {r-（5/3）3/5（v/3πl）1/5 L 3/5} 2（1/20 Ll）]，其中L= nl是沿聚合物沿着的长度，Script N（L）是归一化。因此r的均方，r 2，是（5/3）6/5（v/3πl）2/5 L 6/5。
The probability distribution of the configurations of a polymer consisting of freely hinged links of length l and excluded volume v is studied. It is shown that the interaction of the polymer with itself can be represented by considering the polymer under the influence of a self-consistent field which reduces the problem to an equation like the Hartree equation for an atom. This can be solved asymptotically, giving the probability of the nth link of the polymer passing through the point r to be Script N (L) exp [-27 {r-(5/3) 3/5 (v/3πl) 1/5 L 3/5} 2 (1/20Ll)] where L= nl is the length along the polymer and Script N (L) the normalization. Thus the mean square of r, r 2, is (5/3) 6/5 (v/3πl) 2/5 L 6/5.