In lattice systems such as Ising model or spin glasses, the standard Monte Carlo simulation with Metropolis algorithm works by proposig a single spin flip and then accepting or rejecting the proposal with the probability given by the algorithm itself.
I'd like to know if anything changes when the proposal changes from a single spin flip to a group of spins (choosen randomly and independently at each step, but fixed in number).
In other words, suppose that we suggest a flip of N spins. Then we measure the new energy and then use the standard Metropolis choice for the acceptance.
- Does this change the equilibrium probability distribution?
- If (1) is yes, does this make the algorithm any faster?