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.
Inverse problem for the mean-field monomer-dimer model with attractive interaction / Contucci, Pierluigi; Luzi, Rachele; Vernia, Cecilia. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 50:(2017), pp. 1-27. [10.1088/1751-8121/aa69ef]