  Non-equilibrium molecular dynamics simulations are used to demonstrate the
asymptotic convergence of the Transient and Steady State forms of the
Fluctuation Theorem. In the case of planar Poiseuille flow, we find that the
Transient form, valid for all times, converges to the Steady State form on
microscopic time scales. Further, we find that the time of convergence for the
two Theorems coincides with the time required for satisfaction of the
asymptotic Steady State Fluctuation Theorem.
  PACS numbers: 05.20.-y, 05.70.Ln, 47.10.+g, 47.40.-n
