411 REFERENCE · Wikibooks
Introduction to Mathematical Physics/Statistical physics/Some numerical computation in statistical physics
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In statistical physics, mean quantities evaluation can be done using by
Monte--Carlo methods. in this section, a simple example is presented.
Let us consider a Ising model. In this spin system, energy can be written:
The following Metropolis algorithm ma:compu:Stauffer93, ma:compu:Koonin90
is used \index{Metropolis}
to simulate probabilities :
select spin to consider.
evaluate variation of energy
associated to a possible split of spin
.
compare a random number between zero and one with probability .
split spin number (that is do ) i=f and only if .
use the obtained configuration to compute mean quantities.