Universal aspects of conformations and transverse fluctuations of a two-dimensional semi-flexible chain

In this talk we compare the results obtained from Monte Carlo (MC) and Brownian dynamics (BD) simulation for the universal properties of a semi-flexible chain. Specifically we compare MC results obtained using pruned-enriched Rosenbluth method (PERM) with those obtained from BD simulation. We find that the scaled plot of root-mean-square (RMS) end-to-end distance $\langle R_N^2 \rangle/2L\ell_p$ and RMS transverse transverse fluctuations $\sqrt{\langle l^2_\perp \rangle}/\ell_p$ as a function of $L/\ell_p$ (where $L$ and $\ell_p$ are the contour length, and the persistence length respectively) are universal and independent of the definition of the persistence length used in MC and BD schemes. We further investigate to what extent these results agree for a semi-flexible polymer confined in a quasi one dimensional channel.