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. 2003 Oct 3;100(22):12564–12569. doi: 10.1073/pnas.1635159100

Table 1. Summary of the behavior of the Jarzynski estimator in the different regimes considered in this article.

Arbitrary perturbation
Perturbations near equilibrium
Small N Large N Small N Large N
dis ∼ kT dis ≫ kT All dis
Bias, BJ(N) ? Inline graphic Inline graphic Inline graphic Inline graphic
Variance, Inline graphic ? Inline graphic Inline graphic ?Inline graphic Inline graphic
MSE ? Inline graphic Inline graphic Inline graphic Inline graphic

In the case of the bias we have α = In[2βCW̄dis] /In[C(edis — 1) with C = 15, but for the variance αV ≡ α (C = 50).