8 citations · 23 across the 7 of their papers we have counts for
7 papers
Noise-to-Noise Ratios in Correlation Length Calculations Near Criticality
Avishay Efrat
For finite random systems, it is possible to define two types of variances (noises). It is demonstrated that their ratio is useful in calculating the correlation length of an infin…
Self-averaging in random systems - liability or asset?
Avishay Efrat, Moshe Schwartz
The study of quenched random systems is facilitated by the idea that the ensemble averages describe the thermal averages for any specific realization of the couplings, provided the…
Full reduction of large finite random Ising systems by RSRG
Avishay Efrat, Moshe Schwartz
We describe how to evaluate approximately various physical interesting quantities in random Ising systems by direct renormalization of a finite system. The renormalization procedur…
Harris criterion on hierarchical lattices: Rigorous inequalities and counterexamples in Ising systems
Avishay Efrat
Random bond Ising systems on a general hierarchical lattice are considered. The inequality between the specific heat exponent of the pure system, , and the crossover exponent…
Effect of couplings weakening and reversing in ferromagnetic Ising systems - Rigorous inequalities
Moshe Schwartz, Avishay Efrat, James L. Monroe
We consider Ising systems where all the many-spin couplings are positive. We show that the absolute value of all the many-spin correlations does not increase when the value o…
Random bond Ising systems on a general hierarchical lattice: Exact inequalities
Avishay Efrat, Moshe Schwartz
Random bond Ising systems on a general hierarchical lattice are considered. Interesting inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed po…