Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-08-08
Phys. Rev. Lett. 85, 2865 (2000)
Physics
Condensed Matter
Statistical Mechanics
5 pages, 5 figures, APS style, submitted for publication
Scientific paper
10.1103/PhysRevLett.85.2865
Using the global fiber bundle model as a tractable scheme of progressive fracture in heterogeneous materials, we define the branching ratio in avalanches as a suitable order parameter to clarify the order of the phase transition occurring at the collapse of the system. The model is analyzed using a probabilistic approach suited to smooth fluctuations. The branching ratio shows a behavior analogous to the magnetization in known magnetic systems with 2nd-order phase transitions. We obtain a universal critical exponent $\beta\approx 0.5$ independent of the probability distribution used to assign the strengths of individual fibers.
Gomez Javier B.
Moreno Yamir
Pacheco Amalio. F.
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