Random field Ising systems on a general hierarchical lattice: Rigorous inequalities

Abstract

Random Ising systems on a general hierarchical lattice with both, random fields and random bonds, are considered. Rigorous inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed point are obtained. These inequalities lead to upper bounds on the crossover exponents $\{{\varphi }_i\}$.

LaTeX, 13 pages, figs. 1a,1b,2. To be published in PRE

References in corpus (2)

• Random bond Ising systems on a general hierarchical lattice: Exact inequalities
• Effect of couplings weakening and reversing in ferromagnetic Ising systems - Rigorous inequalities

Cited by in corpus (1)

• Numerical study of the random field Ising model at zero and positive temperature