Non-Markovian closure kinetics of flexible polymers with hydrodynamic interactions

摘要: This paper presents a theoretical analysis of the closure kinetics polymer with hydrodynamic interactions. analysis, which takes into account non-Markovian dynamics end-to-end vector and relies on preaveraging mobility tensor (Zimm dynamics), is shown to reproduce very accurately results numerical simulations complete nonlinear dynamics. It found that Markovian treatments based Wilemski-Fixman approximation significantly overestimate cyclization times (up factor 2), showing importance memory effects in In addition, this provides scaling laws mean first time (MFCT) size N capture radius b, are identical both approaches. particular, it MFCT for large given by T ∼ N3/2ln(N/b2), differs from case Rouse where N2. The extension reaction monomer Zimm an external target confined volume also presented.