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Condensed Matter > Statistical Mechanics
Title: Universality classes for percolation models with long-range correlations
(Submitted on 27 Mar 2024 (v1), last revised 30 Apr 2024 (this version, v2))
Abstract: We consider a class of percolation models where the local occupation variables have long-range correlations decaying as a power law $\sim r^{-a}$ at large distances $r$, for some $0< a< d$ where $d$ is the underlying spatial dimension. For several of these models, we present both, rigorous analytical results and matching simulations that determine the critical exponents characterizing the fixed point associated to their phase transition, which is of second order. The exact values we obtain are rational functions of the two parameters $a$ and $d$ alone, and do not depend on the specifics of the model.
Submission history
From: Christopher Chalhoub [view email][v1] Wed, 27 Mar 2024 17:33:49 GMT (70kb,D)
[v2] Tue, 30 Apr 2024 16:41:44 GMT (87kb,D)
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