Ashenafi, Admasu (2015) A 2D Monte Carlo Investigation of Static and Dynamic Properties of Ring Polymer. Masters thesis, Addis Ababa University.
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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 flexible linkage between monomers forming a closed loop. We consider the unbiased translocation process of the ring where the polymer translocates purely due to thermal fluctuations. The average escape time τ has been analyzed as a function of chain length N. And we found that, the polymer escape time τ of the ring polymers having a length N < 100, also has a scaling behavior τ ∼ Nα where α is more closer to 1 + 2ν in which ν 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 fluctuation method (BFM) is implemented to study both characteristics of the particular ring polymers.
| Item Type: | Thesis (Masters) |
|---|---|
| Subjects: | Q Science > Q Science (General) Q Science > QC Physics |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 24 Aug 2018 12:10 |
| Last Modified: | 24 Aug 2018 12:10 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/4896 |
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