Kinetics of Loop Formation in Polymer Chains

2007/08/15 by Toan, Ngo Minh, Morrison, Greg, Hyeon, Changbong +1 · 1 citation
#FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft)

paper · doi:10.48550/arxiv.0708.2077

Abstract

We investigate the kinetics of loop formation in flexible ideal polymer chains (Rouse model), and polymers in good and poor solvents. We show for the Rouse model, using a modification of the theory of Szabo, Schulten, and Schulten, that the time scale for cyclization is τ_c∼ τ₀ N² (where τ₀ is a microscopic time scale and N is the number of monomers), provided the coupling between the relaxation dynamics of the end-to-end vector and the looping dynamics is taken into account. The resulting analytic expression fits the simulation results accurately when a, the capture radius for contact formation, exceeds b, the average distance between two connected beads. Simulations also show that, when a < b, τ_c∼ N^α_τ, where 1.5

Cited by

• First-passage time to capture for diffusion in a 3D harmonic potential

Related

• Understanding dynamics of looping of a long chain polymer in solution: Wilemski-Fixman Approach
• Polymer dynamics under tension: mean first passage time for looping
• Exploring the relaxation time, bond length and length of the polymer chain in the kinetics of end-to-end looping of a long polymer chain
• Mean pairwise distances in Rouse polymer subject to fast loop extrusion
• Understanding reversible looping kinetics of a long polymer molecule in\n solution. Exact solution for two state model with delta function coupling