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Pré-Publication, Document De Travail Année : 2006

On the mean Euler characteristic and mean Betti numbers of the Griffiths' model.

Résumé

The behaviour of the mean Euler-Poincaré characteristic and mean Betti's numbers in the Griffiths' model on Z^2 (the Q-states Ising model) as functions of the temperature is investigated through intensive Monte Carlo simulations. We also consider these quantities for each color a in the state space S_Q = { - Q, - Q + 2, ... , Q } of the model. We find that these topological invariants show a sharp transition at the critical point.
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Dates et versions

hal-00016966 , version 1 (14-01-2006)
hal-00016966 , version 2 (13-02-2006)

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Philippe Blanchard, Christophe Dobrovolny, Daniel Gandolfo, Jean Ruiz. On the mean Euler characteristic and mean Betti numbers of the Griffiths' model.. 2006. ⟨hal-00016966v1⟩
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