Metropolis Monte Carlo

Metropolis Monte Carlo (MMC)

MMC Simulations can be carried out in different ensembles. For the case of one-component systems the usual ensembles are:

• Canonical ensemble ($NVT$ )

• Isothermal-Isobaric ensemble (Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NpT } )

• Grand Canonical Ensemble (Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mu V T } )

The purpose of these techniques is to sample representative configurations of the system at the corresponding thermodynamic conditions.

The samplinng techniques make use the so-called Pseudo-Random Numbers generators

References

M.P. Allen and D.J. Tildesley , etc