Inverse problem for the mean-field monomer-dimer model with attractive interaction
| Autor: | Contucci, Pierluigi, Luzi, Rachele, Vernia, Cecilia |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8121/aa69ef |
| Popis: | The inverse problem method is tested for a class of monomer-dimer statistical mechanics models that contain also an attractive potential and display a mean-field critical point at a boundary of a coexistence line. The inversion is obtained by analytically identifying the parameters in terms of the correlation functions and via the maximum-likelihood method. The precision is tested in the whole phase space and, when close to the coexistence line, the algorithm is used together with a clustering method to take care of the underlying possible ambiguity of the inversion. Comment: 29 pages, 2 appendices, 13 figures |
| Databáze: | arXiv |
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