Polymerization Events Modeled by Langevin Dynamics

Another promising way of extending the CSE to the nonequilibrium regime is to introduce a new effective coordinate, R(t), which plays the role of fhe length of a polymer chain, so that 

Nonstationarity can be introduced into the GLE through an auxiliary function g(t) so as to modulate the amplitude of the stochastic force [49,50]. The resulfing equation of motion has been called the iGLE where the i refers fo the irreversibly changing environment, and it takes the form. 

The placement of g(-) on bofh sides of the friction kernel is necessary because the fluctuation-dissipation relation with modified forces, 

2 The potential of mean force driving polymerizing events 

Although the computational integration of the iGLE dynamics is compellingly simple, its use is predicated on the specification of the potential of mean force (PMF) and the nonstationary friction kernel. The original articulation—motivated heuristically using the method of steepest descents—of the PMF for polymer growth was specified as 

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