Brownian Translocation
Assume that the two chain segments on each side of the
membrane are fully equilibrated:
- Entropic barrier, parametrized by g (g=0.5
for random walks)
- Diffusive motion for the 'translocation
coordinate' s :
- W. Sung and P. J. Park, Phys. Rev. Lett.
77, 783 (1996)
- M. Muthukumar, J. Chem. Phys. 111,10371
(1999)
- D. K. Lubensky and D. R. Nelson, Biophysical
Journal 77, 1824 (1999)
Kramers' Mean First Passage
Time [H.A. Kremers, Physica 7,
284 (1940) ]
J. Chuang, Y. Kantor, and M.
Kardar, Phys. Rev. E 65, 011892
(2001)
S.-S. Chern, A.E. Cardenas,
and R.D. Coalson JCP 115, 7772 (2001)
Does the polymer have enough time to equilibrate?
- Consider the time it takes a polymer to freely diffuse over
a similar distance:
- Can translocation be faster than free diffusion?!
