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arXiv 2012.01607math-phmath.MP
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连续高聚物的近临界行为

On the Near-Critical Behavior of Continuous Polymers

L. Koralov, S. Molchanov, B. Vainberg

摘要:

本文的目的是研究连续高分子在吸引力支撑势作用下的分布。最复杂的行为可以观察到,如果我们同时和独立地改变两个参数:温度,接近临界值,和聚合物链的长度,趋于无穷大。我们描述了聚合物的典型尺寸如何取决于这两个参数。

英文摘要:

The aim of this paper is to investigate the distribution of a continuous polymer in the presence of an attractive finitely supported potential. The most intricate behavior can be observed if we simultaneously and independently vary two parameters: the temperature, which approaches the critical value, and the length of the polymer chain, which tends to infinity. We describe how the typical size of the polymer depends on the two parameters.

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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