Anomalous Dynamics of Forced
Translocation
![](../Ftrans.gif)
Brownian dynamics:
- Polymer pulled by a force f exerted
at one end:
- Polymer pulled by a chemical potential difference Δµ
between the two sides:
![](../eqnTBm.gif)
- 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:
![](../eqnTmm.gif)
Numerical results for the self-avoiding polymer in two
dimensions:
- Polymer pulled by a force f exerted
at one end:
![](../Tsawf.gif)
- Polymer pulled by a chemical potential difference Δµ
between the two sides:
![](../Tsawm.gif)
- The numerically observed exponents appear to be lower than
the lower bounds! (long crossovers?)