From damage percolation to crack nucleation through finite size criticality

A Shekhawat, S Zapperi, JP Sethna - Physical review letters, 2013 - APS
Physical review letters, 2013APS
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<? format?> 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 …
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 <?format ?>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.
American Physical Society
以上显示的是最相近的搜索结果。 查看全部搜索结果