Data di Pubblicazione:
2013
Citazione:
From Damage Percolation to Crack Nucleation Through Finite Size Criticality / A. Shekhawat, S. Zapperi, J.P. Sethna. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 110:18(2013 Apr 29), pp. 185505.1-185505.5. [10.1103/PhysRevLett.110.185505]
Abstract:
We present a unified theory of fracture in disordered brittle media that reconciles apparently conflicting results reported in the literature. Our renormalization group based approach yields a phase diagram in which the percolation fixed point, expected for infinite disorder, is unstable for finite disorder and flows to a zero-disorder nucleation-type fixed point, thus showing that fracture has a mixed first order and continuous character. In a region of intermediate disorder and finite system sizes, we predict a crossover with mean-field avalanche scaling. We discuss intriguing connections to other phenomena where critical scaling is only observed in finite size systems and disappears in the thermodynamic limit.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
A. Shekhawat, S. Zapperi, J.P. Sethna
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