Anomalous Dynamics of Forced
Translocation

Brownian dynamics:
- Polymer pulled by a force f exerted
at one end:
- Polymer pulled by a chemical potential difference Δµ
between the two sides:

- There is not enough time for equilibration at large N
.
Lower bounds: How long does it take
the forced polymer to translate by its typical size in the absence
of the wall?
- Polymer pulled by a force f exerted
at one end:
- Polymer pulled by a force Δµ acting on
a single monomer:

Numerical results for the self-avoiding polymer in two
dimensions:
- Polymer pulled by a force f exerted
at one end:

- Polymer pulled by a chemical potential difference Δµ
between the two sides:

- The numerically observed exponents appear to be lower than
the lower bounds! (long crossovers?)