Bulk transport properties and exponent inequalities for random resistor and flow networks

DOI10.1007/BF01212346zbMath0617.60099OpenAlexW2066915495MaRDI QIDQ1822149

Jennifer T. Chayes, Lincoln Chayes

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01212346

zbMATH Keywords

percolationpercolation thresholdconductivity exponentpercolation exponentsrandom resistor

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Transport processes in time-dependent statistical mechanics (82C70)

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Cites Work

• On a sharp transition from area law to perimeter law in a system of random surfaces
• Critical behavior of the two-dimensional first passage time
• The critical probability of bond percolation on the square lattice equals 1/2
• Correlation inequalities on some partially ordered sets
• First-passage percolation, network flows and electrical resistances
• Inequalities with applications to percolation and reliability
• A note on percolation
• Percolation Probabilities on the Square Lattice
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