Path-Integral Calculation of the Mean Number of Overcrossings in an Entangled Polymer Network

摘要: A quantitative characterization of entanglements between polymer chains is essential for understanding the behavior solutions. When dealing with unknotted open chains, that must rely on geometrical (rather than topological) measures entanglement complexity. In this work, we deal a simple shape descriptor:  mean overcrossing number set curves. This descriptor provides physically intuitive self-entanglements in chain or network. Many analytical properties are still not well understood. part, due to use numerical algorithms its computation. Path-integral formalisms offer an improvement over situation, by providing expressions descriptors or, at least, more efficient their evaluation. discuss approach represent numbers path integrals. The formalism general ...