A 2d Monte Carlo Investigation Of Static And Dynamic Properties Of Ring Polymer

Monte Carlo simulation technique has been used to investigate the static properties andrntranslocation characteristics of ring polymers in two dimensions. Each chain consists of rnexiblernlinkage between monomers forming a closed loop. We consider the unbiased translocation processrnof the ring where the polymer translocates purely due to thermal rnuctuations. The average escaperntime has been analyzed as a function of chain length N. And we found that, the polymer escaperntime of the ring polymers having a length N < 100, also has a scaling behavior N wherern is more closer to 1 + 2 in which is the Flory exponent of value 3/4 in 2D and 3/5 inrn3D. Such scaling is also the scaling behavior of the unbiased long linear chains. We study thernstatic property of the small cyclical polymer chains by calculating the mean-squared radius ofrngyration Rg. Bond rnuctuation method (BFM) is implemented to study both characteristics ofrnthe particular ring polymers

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