Distribution of backbone mass between non-parallel lines

Luciano R. Da Silva; Gerald Paul; Shlomo Havlin; Don R. Baker; H. Eugene Stanley

doi:10.1016/s0378-4371(02)01154-8

Distribution of backbone mass between non-parallel lines

Luciano R. Da Silva, Gerald Paul, Shlomo Havlin, Don R. Baker, H. Eugene Stanley

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We determine the backbone mass distributions for bond percolation between two lines of arbitrary orientations in three dimensions. All simulations were performed at the percolation threshold p_c. The slope of the power law regime of the backbone mass distribution is dependent upon the angle between the lines, θ, but the characteristic backbone mass is only weakly affected by θ. We propose new scaling functions that reproduce the θ dependence of the characteristic backbone mass found in the simulations.

Original language	English
Pages (from-to)	140-145
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	314
Issue number	1-4
DOIs	https://doi.org/10.1016/s0378-4371(02)01154-8
State	Published - 2002

Bibliographical note

Funding Information:
We thank L. Braunstein and S.V. Buldyrev for helpful discussions, and British Petroleum, CPNq, and the National Science Foundation for support.

Funding

We thank L. Braunstein and S.V. Buldyrev for helpful discussions, and British Petroleum, CPNq, and the National Science Foundation for support.

Funders	Funder number
British Petroleum
CPNq
National Science Foundation

Keywords

Backbone
Fractal
Percolation
Power-law

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10.1016/s0378-4371(02)01154-8

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title = "Distribution of backbone mass between non-parallel lines",

abstract = "We determine the backbone mass distributions for bond percolation between two lines of arbitrary orientations in three dimensions. All simulations were performed at the percolation threshold pc. The slope of the power law regime of the backbone mass distribution is dependent upon the angle between the lines, θ, but the characteristic backbone mass is only weakly affected by θ. We propose new scaling functions that reproduce the θ dependence of the characteristic backbone mass found in the simulations.",

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author = "{Da Silva}, {Luciano R.} and Gerald Paul and Shlomo Havlin and Baker, {Don R.} and Stanley, {H. Eugene}",

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T1 - Distribution of backbone mass between non-parallel lines

AU - Da Silva, Luciano R.

AU - Paul, Gerald

AU - Havlin, Shlomo

AU - Baker, Don R.

AU - Stanley, H. Eugene

N1 - Funding Information: We thank L. Braunstein and S.V. Buldyrev for helpful discussions, and British Petroleum, CPNq, and the National Science Foundation for support.

PY - 2002

Y1 - 2002

N2 - We determine the backbone mass distributions for bond percolation between two lines of arbitrary orientations in three dimensions. All simulations were performed at the percolation threshold pc. The slope of the power law regime of the backbone mass distribution is dependent upon the angle between the lines, θ, but the characteristic backbone mass is only weakly affected by θ. We propose new scaling functions that reproduce the θ dependence of the characteristic backbone mass found in the simulations.

AB - We determine the backbone mass distributions for bond percolation between two lines of arbitrary orientations in three dimensions. All simulations were performed at the percolation threshold pc. The slope of the power law regime of the backbone mass distribution is dependent upon the angle between the lines, θ, but the characteristic backbone mass is only weakly affected by θ. We propose new scaling functions that reproduce the θ dependence of the characteristic backbone mass found in the simulations.

KW - Backbone

KW - Fractal

KW - Percolation

KW - Power-law

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-4

ER -

Distribution of backbone mass between non-parallel lines

Abstract

Bibliographical note

Funding

Keywords

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