The three-dimensional critical Ising model exhibits a single percolation transition for geometric spin clusters, in contrast to two transitions in two dimensions, and an embedded 2D layer shows a new universality class with measured exponents y_p = 0.426(6), d_f = 1.8926(20), d_hull = 1.663(4), and
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cond-mat.stat-mech 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Percolation and sandpile dynamics exhibit previously unreported temporal self-similarity, with quantitative relations linking dynamic scaling exponents to static critical exponents that allow critical behavior to be determined independently of the critical point.
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Percolation in the three-dimensional Ising model
The three-dimensional critical Ising model exhibits a single percolation transition for geometric spin clusters, in contrast to two transitions in two dimensions, and an embedded 2D layer shows a new universality class with measured exponents y_p = 0.426(6), d_f = 1.8926(20), d_hull = 1.663(4), and
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Self-similar Dynamics in Percolation and Sandpile
Percolation and sandpile dynamics exhibit previously unreported temporal self-similarity, with quantitative relations linking dynamic scaling exponents to static critical exponents that allow critical behavior to be determined independently of the critical point.