A 2D Monte Carlo Investigation of Static and Dynamic Properties of Ring polymer

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Date

2015-02

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Addis Ababa University

Abstract

Monte Carlo simulation technique has been used to investigate the static properties and translocation characteristics of ring polymers in two dimensions. Each chain consists of exible linkage between monomers forming a closed loop. We consider the unbiased translocation process of the ring where the polymer translocates purely due to thermal uctuations. The average escape time has been analyzed as a function of chain length N. And we found that, the polymer escape time of the ring polymers having a length N < 100, also has a scaling behavior N where is more closer to 1 + 2 in which is the Flory exponent of value 3/4 in 2D and 3/5 in 3D. Such scaling is also the scaling behavior of the unbiased long linear chains. We study the static property of the small cyclical polymer chains by calculating the mean-squared radius of gyration Rg. Bond uctuation method (BFM) is implemented to study both characteristics of the particular ring polymers

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Properties of Ring polymer.

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