Abstract
We analyze a connection matrix of a d-dimensional Ising system and solve the inverse problem, restoring the constants of interaction between spins, based on the known spectrum of its eigenvalues. When the boundary conditions are periodic, we can account for interactions between spins that are arbitrarily far. In the case of the free boundary conditions, we have to restrict ourselves with interactions between the given spin and the spins of the first d coordination spheres.
Funder
Scientific Research Institute for System Analysis Russian Academy of Sciences
Subject
General Physics and Astronomy
Reference14 articles.
1. Exactly Solved Models in Statistical Mechanics;Baxter,1982
2. Ising formulations of many NP problems
3. Introduction to the Theory of Neural Computation;Hertz,1991
4. Sociophysics
5. Analytical Expressions for Ising Models on High Dimensional Lattices