A percolation transition is characterized by a set of universal critical exponents, which describe the fractal properties of the percolating medium at large ... Definitions of exponents · Exponents for protected... |
A scaling hypothesis in percolation theory is formulated, making it possible to relate the correlation-length index to the exponents of the infinite-cluster ... |
20 февр. 2019 г. · The exponents are universal in the sense that they only depend on the type of percolation model and on the space dimension. They are expected to ... |
A simulation is carried out in order to investigate percolation threshold and critical exponents of a two- dimensional continuum percolation system. |
It is shown that if the diagrammatic triangle condition is satisfied, then the critical exponents δ δ and ^β β ^ exist and take their mean-field values. |
14 янв. 2021 г. · They unveil the values of the associated critical exponents, which are explicit but not mean-field and consistent with predictions from scaling ... |
In statistical physics, directed percolation (DP) refers to a class of models that mimic filtering of fluids through porous materials along a given direction. |
31 окт. 2023 г. · Some of the critical exponents are defined solely in terms of the cluster-size distribution Pn(p) and functions related to it, such as the mean ... |
9 дек. 2022 г. · We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian free field on the ... |
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