The Bennett acceptance ratio concerns the change in this quantity between two super states in the canonical ensemble.
The Bennett acceptance ratio concerns the change in this quantity between two super states in the canonical ensemble. An equation for calculating this quantity can be derived from the Barker-Henderson perturbation theory. In the grand canonical ensemble, grand potential equals this quantity minus chemical potential times the number of particles. The relation of the deformation gradient to the derivative of this quantity's density gives the Piola-Kirchoff stress tensor. For liquid metals, the Gibbs-Bogoliubov inequality gives the upper bound of this quantity, which equals the product of Boltzmann's constant, temperature, and the natural log of the partition function. This quantity divided by negative temperature squared gives the first derivative of the Gibbs free energy, and its derivative with respect to chemical potential is particle number. It equals internal energy minus temperature times entropy, and it is denoted capital A or F. For 10 points, name this free energy named for a German.
The Bennett acceptance ratio concerns the change in this quantity between two super states in the canonical ensemble.
Helmholtz free energy [or Helmholtz free energy after "free energy" is mentioned]