Work

The inverse Ising problem for one-dimensional chains with arbitrary finite-range couplings

Year: 2011

Type: article

Abstract: We study Ising chains with arbitrary multispin finite-range couplings, providing an explicit solution of the associated inverse Ising problem, i.e. the problem of inferring the values of the coupling constants from the correlation functions. As an application, we reconstruct the couplings of chain Ising Hamiltonians having exponential or power-law two-spin plus three- or four-spin couplings. The generalization of the method to ladders and to Ising systems where a mean-field interaction is added to general finite-range couplings is also discussed.

Source: Journal of Statistical Mechanics Theory and Experiment

DOI: 10.1088/1742-5468/2011/10/p10021

Authors: Giacomo Gori, Andrea Trombettoni

Institution: Scuola Internazionale Superiore di Studi Avanzati

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, European Social Fund

Award: Fisica Statistica dei Sistemi Fortemente Correlati all'Equilibrio e Fuori Equilibrio: Risultati Esatti e Metodi di Teoria dei Campi