Editing Cluster algorithms
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Given a configuration of the system and a current coupling constant <math> K_0 </math>: | Given a configuration of the system and a current coupling constant <math> K_0 </math>: | ||
* One builds a bond realisation following the Swendsen-Wang strategy | |||
For small values of <math> \delta K </math> the value of <math> K </math> | * One establishes whether at least one of the cluster percolates through the whole system | ||
* If percolation occurs one decreases the coupling constant (increase the temperature) by a small amount: | |||
: <math> K^{new} = K_0 - \delta K </math> | |||
* If no percolation appears, the new value of the coupling constant is taken to be: | |||
: <math> K^{new} = K_0 + \delta K </math>, | |||
with <math>\delta K > 0 </math>. For small values of <math> \delta K </math> the value of <math> K </math> | |||
(after reaching the vicinity of the critical point) will show minor oscillations and the | (after reaching the vicinity of the critical point) will show minor oscillations and the | ||
results can be trusted | results can be trusted as those of an equilibrium simulation run. ([[Detailed balance]] is not | ||
strictly fulfilled in this algorithm). | strictly fulfilled in this algorithm). | ||