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arXiv 0902.2830math.PRmath-phmath.MP
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均聚物的连续模型

Continuous Model for Homopolymers

M. Cranston, L. Koralov, S. Molchanov, B. Vainberg

摘要:

我们考虑了长均聚物在势场中的分布模型。聚合物的典型形状取决于温度参数。我们表明,在温度的临界值的过渡发生从一个球状的扩展相。对于不同的温度值,包括那些在或接近临界值,我们考虑的限制行为的聚合物时,其大小趋于无穷大。

英文摘要:

We consider the model for the distribution of a long homopolymer in a potential field. The typical shape of the polymer depends on the temperature parameter. We show that at a critical value of the temperature the transition occurs from a globular to an extended phase. For various values of the temperature, including those at or near the critical value, we consider the limiting behavior of the polymer when its size tends to infinity.

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