Editing Metropolis Monte Carlo
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The acceptance criteria must be chosen to guarantee that after a certain equilibration ''time'' a given configuration appears with probability given by <math> \Pi(X|k) </math> | The acceptance criteria must be chosen to guarantee that after a certain equilibration ''time'' a given configuration appears with probability given by <math> \Pi(X|k) </math> | ||
The [[temperature]] is usually fixed in Metropolis Monte Carlo simulations, since in classical statistics the kinetic degrees of freedom (momenta) can be generally, integrated out. However, it is possible to design procedures to perform Metropolis Monte Carlo simulations in the [[Microcanonical ensemble| microcanonical ensemble]] (NVE). | The [[temperature]] is usually fixed in Metropolis Monte Carlo simulations, since in classical statistics the kinetic degrees of freedom (momenta) can be generally, integrated out. However, it is possible to design procedures to perform Metropolis Monte Carlo simulations in the [[Microcanonical ensemble| microcanonical ensemble]] (NVE). |