Abstract
Random Ising systems on a general hierarchical lattice with both random fields and random bonds are investigated. 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.
| Original language | English |
|---|---|
| Article number | 036124 |
| Pages (from-to) | 361241-361245 |
| Number of pages | 5 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 63 |
| Issue number | 3 II |
| DOIs | |
| State | Published - Mar 2001 |