Several constants arising in statistical mechanics

DOI10.1007/BF01608791zbMath0937.05007arXivmath/9810155MaRDI QIDQ1306604

Steven R. Finch

Publication date: 7 June 2000

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9810155

zbMATH Keywords

enumerationrandom lattice models

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Asymptotic enumeration (05A16) Polyominoes (05B50) Evaluation of number-theoretic constants (11Y60)

Related Items (6)

Extremal polyomino chains on \(k\)-matchings and \(k\)-independent sets ⋮ Merrifield-Simmons index and its entropy of the 4-8-8 lattice ⋮ Random maximal independent sets and the unfriendly theater seating arrangement problem ⋮ Planar lattice gases with nearest-neighbor exclusion ⋮ Enumeration of the self-avoiding polygons on a lattice by the Schwinger-Dyson equations ⋮ Excuse me! or the courteous theatregoers' problem

Uses Software

• NAIVE
• DAVID_IAN
• JODO
• BLANKS
• SYMGJ
• SPGJ
• GJseries
• GJSAW
• GJsqfree

Cites Work

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• A Procedure for Improving the Upper Bound for the Number of n-Ominoes

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