Abstract
Most systems of interest in statistical physics are extremely high-dimensional, and become infinite-dimensional in the thermodynamic limit. Hence, their metastable behaviour cannot be read off from the energy of paths alone, because a true interplay between energy and entropy of paths takes place. This makes the analysis of such systems hard. A promising strategy is the reduction of this complexity via a mapping to a low-dimensional state space in the spirit of the coarse-graining and lumping explained in Chap. 9. In this chapter we deal with the Curie-Weiss model at finite temperature in large volumes. Section 13.1 defines the model and introduces the coarse-graining. Section 13.2 solves the coarse-grained model and proves the theorems describing its metastable behaviour.
La simplicité affectée est une imposture délicate. (François de La Rochefoucauld, Réflexions)
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References
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Bovier, A., den Hollander, F. (2015). The Curie-Weiss Model. In: Metastability. Grundlehren der mathematischen Wissenschaften, vol 351. Springer, Cham. https://doi.org/10.1007/978-3-319-24777-9_13
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DOI: https://doi.org/10.1007/978-3-319-24777-9_13
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