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

Details Inverse Ising problem for one-dimensional chains with arbitrary finite-range couplings Inverse Ising problem for one-dimensional chains with arbitrary finite-range couplings

2011-09-26

arxiv.org/abs/1109.5529v2

J. Stat. Mech. (2011) P10021

Physics

Condensed Matter

Statistical Mechanics

Published version, typos corrected

Scientific paper

10.1088/1742-5468/2011/10/P10021

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 as well as discussed.

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