تقرير
Criticality of measures on 2-d Ising configurations: from square to hexagonal graphs
| العنوان: | Criticality of measures on 2-d Ising configurations: from square to hexagonal graphs |
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| المؤلفون: | Apollonio, Valentina, D'Autilia, Roberto, Scoppola, Benedetto, Scoppola, Elisabetta, Troiani, Alessio |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Probability |
| الوصف: | On the space of Ising configurations on the 2-d square lattice, we consider a family of non Gibbsian measures introduced by using a pair Hamiltonian, depending on an additional inertial parameter $q$. These measures are related to the usual Gibbs measure on $\Z^2$ and turn out to be the marginal of the Gibbs measure of a suitable Ising model on the hexagonal lattice. The inertial parameter $q$ tunes the geometry of the system. The critical behaviour and the decay of correlation functions of these measures are studied thanks to relation with the Random Cluster model. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s10955-019-02403-3 |
| URL الوصول: | http://arxiv.org/abs/1906.02546 |
| رقم الأكسشن: | edsarx.1906.02546 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s10955-019-02403-3 |
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