Hybrid Monte Carlo

The hybrid Monte Carlo algorithm is a Monte Carlo method for generating systems in the canonical state. The process produces a combination of molecular dynamics and random motion. Molecular dynamics is used in order to efficiently generate new, independent states.

In this method, pseudo - pulses are introduced, and then by means of the Hamiltonian equations of motion to solve numerically. The pseudo - pulses are initially chosen randomly according to the Gaussian distribution. Thereafter, the new state will be determined by calculation of the trajectory in the phase space. Finally, the new state is accepted with probability.