Harris criterion on hierarchical lattices: rigorous inequalities and counterexamples in Ising systems

¹School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 21, 2001

Abstract:

Random bond Ising systems on a general hierarchical lattice are considered. The inequality between the specific heat exponent of the pure system, alpha(p), and the crossover exponent straight phi, alpha(p)

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Abstract:

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