2011/09/30 by Giacomo Gori, Andrea Trombettoni
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Chain (unit) #Coupling (piping) #Coupling constant #Exponential function #Generalization #Inverse #Ising model #Ising spin #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Physics #Protein Structure and Dynamics #Quantum mechanics #Range (aeronautics) #Spin (aerodynamics) #Square-lattice Ising model #Statistical Mechanics and Entropy #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech #physics.data-an
paper · pdf · doi:10.1088/1742-5468/2011/10/p10021
published as J. Stat. Mech. (2011) P10021 · Published version, typos corrected
openalex publication_date 2011/10/20 · arxiv created 2011/11/15 · arxiv updated 2011/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.