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 | ||
W̄dis ∼ kT | W̄dis ≫ kT | All W̄dis | |||
Bias, BJ(N) | ? | ![]() |
![]() |
![]() |
![]() |
Variance, ![]() |
? | ![]() |
![]() |
?![]() |
![]() |
MSE | ? | ![]() |
![]() |
![]() |
![]() |
In the case of the bias we have α = In[2βCW̄dis] /In[C(e2βW̄dis — 1) with C = 15, but for the variance αV ≡ α (C = 50).