Regular Article

The European Physical Journal E

, 34:46

Dynamics of a polymer chain confined in a membrane

  • S. RamachandranAffiliated withDepartment of Chemistry, Graduate School of Science and Engineering, Tokyo Metropolitan University
  • , S. KomuraAffiliated withDepartment of Chemistry, Graduate School of Science and Engineering, Tokyo Metropolitan University Email author 
  • , K. SekiAffiliated withNational Institute of Advanced Industrial Science and Technology
  • , G. GompperAffiliated withInstitut für Festkörperforschung, Forschungszentrum Jülich

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract.

We present a Brownian dynamics theory with full hydrodynamics (Stokesian dynamics) for a Gaussian polymer chain embedded in a liquid membrane which is surrounded by bulk solvent and walls. The mobility tensors are derived in Fourier space for the two geometries, namely, a free membrane embedded in a bulk fluid, and a membrane sandwiched by the two walls. Within the preaveraging approximation, a new expression for the diffusion coefficient of the polymer is obtained for the free-membrane geometry. We also carry out a Rouse normal mode analysis to obtain the relaxation time and the dynamical structure factor. For large polymer size, both quantities show Zimm-like behavior in the free-membrane case, whereas they are Rouse-like for the sandwiched membrane geometry. We use the scaling argument to discuss the effect of excluded-volume interactions on the polymer relaxation time.