  The Boltzmann distribution (the most probable distribution) is one of the
most important concepts used in physics, chemistry and biology. Suppose we put
the system initially in one of the less probable state then the system will
find the most probable state by a random search among all possible energy
distributions and thus can take long time depending on the size of the system.
In the following, simple analysis using our simple model shows that a small and
physically reasonable energy bias against locally unfavorable energy
distribution, of the order of a few $kT$, can reduce the time-scale of the
process by a significant size.
