Duality mapping and unbinding transitions of semiflexible and directed polymers
Duality mapping and unbinding transitions of semiflexible and directed polymers
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半柔性和定向聚合物的对偶映射和解束缚转变
DOI：
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发表时间：
2005
期刊：
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通讯作者：
R. Lipowsky
中科院分区：
文献类型：
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作者：
J. Kierfeld;R. Lipowsky
定向聚合物(弦)和半柔性聚合物(丝)分别是由张力和弯曲能控制的一维物体。它们在短程吸引势能存在的情况下发生非结合跃迁。利用传递矩阵方法，我们建立了短程引力存在和不存在时限制分拆和之间的丝弦对偶映射。这使得我们能够得到与非结合跃迁、跃变点和跃迁级数有关的临界指数的精确结果。
Directed polymers (strings) and semiflexible polymers (filaments) are one-dimensional objects governed by tension and bending energy, respectively. They undergo unbinding transitions in the presence of a short-range attractive potential. Using transfer matrix methods we establish a duality mapping for filaments and strings between the restricted partition sums in the absence and the presence of a short-range attraction. This allows us to obtain exact results for the critical exponents related to the unbinding transition, the transition point and transition order.