We present a method, for highly efficient free-energy calculations by means
of molecular dynamics and Monte Carlo simulations, which is an optimized c
ombination of coupling parameter and adiabatic switching formalisms. This a
pproach involves dynamical reversible scaling of the potential energy funct
ion of a system of interest, and allows accurate determination of its free
energy over a wide temperature interval from a single simulation. The metho
d is demonstrated in two applications: crystalline Si at zero pressure and
a fee nearest-neighbor antiferromagnetic Ising model.