Random bond Ising systems on a general hierarchical lattice: Exact inequalities

Details Random bond Ising systems on a general hierarchical lattice: Exact inequalities Random bond Ising systems on a general hierarchical lattice: Exact inequalities

2001-01-09

arxiv.org/abs/cond-mat/0101108v1

A. Efrat and M. Schwartz, Phys. Rev. E V62, 2952 (2000)

Physics

Condensed Matter

Statistical Mechanics

pdf, 10 pages, figures 1a and 1b

Scientific paper

10.1103/PhysRevE.62.2952

Random bond Ising systems on a general hierarchical lattice are considered.
Interesting inequalities between eigenvalues of the Jacobian renormalization
matrix at the pure fixed point are obtained. These lead to upper bounds on the
crossover exponents $\{\phi_i\}$.

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