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

Year: 2011

Authors: Gori G., Trombettoni A.

Autors Affiliation: SISSA, I-34136 Trieste, Italy; Ist Nazl Fis Nucl, Sez Trieste, I-34127 Trieste, Italy.

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.

Journal/Review: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

More Information: We wish to thank I Mastromatteo and M Marsili for many very useful discussions. The work has been supported by the grants INSTANS (from ESF) and 2007JHLPEZ (from MIUR).
KeyWords: solvable lattice models; spin chains; ladders and planes (theory); statistical inference
DOI: 10.1088/1742-5468/2011/10/P10021

Citations: 10
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2025-09-14
References taken from IsiWeb of Knowledge: (subscribers only)