Percolation critical exponent

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Percolation critical exponent

2023年10月31日 — 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 ... ,Critical exponents describe the behavior of physical quantities near continuous phase transitions. It is believed, though not proven, that they are universal. ,由 A Drewitz 著作 · 2023 · 被引用 28 次 — We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian free field on the ... ,由 D Stauffer 著作 · 1978 · 被引用 17 次 — For d=1, percolation clusters follow a scaling law with critical exponents σ=1 and τ=2. For the limit d→1, critical exponents can differ from their d=1 ... ,由 A Okazaki 著作 · 1996 · 被引用 13 次 — A simulation is carried out in order to investigate percolation threshold and critical exponents of a two- dimensional continuum percolation system. ,由 S Sadeghnejad 著作 · 2013 · 被引用 15 次 — In this study, the effect of power law size distribution on the critical exponents of the percolation theory of the two dimensional models is investigated. ,由 T Hutchcroft 著作 · 2019 · 被引用 31 次 — The critical exponent inequalities -gamma -leq -delta-1 and -Delta -leq -gamma +1 hold for percolation and the random cluster model on any transitive graph. ,A percolation transition is characterized by a set of universal critical exponents, which describe the fractal properties of the percolating medium at large ... ,由 L Ménard 著作 · 2022 · 被引用 5 次 — Abstract:We derive three critical exponents for Bernoulli site percolation on the on the Uniform Infinite Planar Triangulation (UIPT).

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Percolation critical exponent 相關參考資料
4 Critical Exponents In Percolation Theory - Oxford Academic

2023年10月31日 — 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 ...

https://academic.oup.com

Critical exponent

Critical exponents describe the behavior of physical quantities near continuous phase transitions. It is believed, though not proven, that they are universal.

https://en.wikipedia.org

Critical exponents for a percolation model on transient ...

由 A Drewitz 著作 · 2023 · 被引用 28 次 — We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian free field on the ...

https://link.springer.com

Critical exponents for one-dimensional percolation clusters

由 D Stauffer 著作 · 1978 · 被引用 17 次 — For d=1, percolation clusters follow a scaling law with critical exponents σ=1 and τ=2. For the limit d→1, critical exponents can differ from their d=1 ...

https://www.sciencedirect.com

Critical exponents of a two-dimensional continuum percolation ...

由 A Okazaki 著作 · 1996 · 被引用 13 次 — A simulation is carried out in order to investigate percolation threshold and critical exponents of a two- dimensional continuum percolation system.

https://link.aps.org

Dependency of percolation critical exponents on the ...

由 S Sadeghnejad 著作 · 2013 · 被引用 15 次 — In this study, the effect of power law size distribution on the critical exponents of the percolation theory of the two dimensional models is investigated....

https://www.sciencedirect.com

New critical exponent inequalities for percolation and the ...

由 T Hutchcroft 著作 · 2019 · 被引用 31 次 — The critical exponent inequalities -gamma -leq -delta-1 and -Delta -leq -gamma +1 hold for percolation and the random cluster model on any transitive graph....

https://arxiv.org

Percolation critical exponents

A percolation transition is characterized by a set of universal critical exponents, which describe the fractal properties of the percolating medium at large ...

https://en.wikipedia.org

[2201.11920] Percolation probability and critical exponents ...

由 L Ménard 著作 · 2022 · 被引用 5 次 — Abstract:We derive three critical exponents for Bernoulli site percolation on the on the Uniform Infinite Planar Triangulation (UIPT).

https://arxiv.org