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arXiv 0802.0486cond-mat.stat-mechcond-mat.soft
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Angular Momentum固定的理想链的精确解

Exact Solution to Ideal Chain with Fixed Angular Momentum

J. M. Deutsch

摘要:

本文考虑了在总角动量L一定的情况下,非相互作用高分子链在大量单体限制下的统计力学。在这种情况下的环状聚合物的回转半径导出完全封闭的形式由功能集成技术。即使当L = 0的回转半径不同的随机游动的前因子的顺序单位。定性地讨论了对L的依赖性,并通过物理论证来理解大L极限。

英文摘要:

The statistical mechanics of a non-interacting polymer chain in the limit of a large number of monomers is considered when the total angular momentum, L, is fixed. The radius of gyration for a ring polymer in this situation is derived exactly in closed form by functional integration techniques. Even when L = 0 the radius of gyration differs from that of a random walk by a prefactor of order unity. The dependence on L is discussed qualitatively and the large L limit can be understood by physical arguments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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