Lattice animals on a class of hierarchical graphs

DOI10.1088/1742-5468/2007/12/P12007zbMath1456.82281OpenAlexW2077436113MaRDI QIDQ5239338

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Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1742-5468/2007/12/p12007

zbMATH Keywords

renormalization groupsolvable lattice modelsloop models and polymerscritical exponents and amplitudes (theory)

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (2)

A model of compact polymers on a family of three-dimensional fractal lattices ⋮ Pulling self-interacting linear polymers on a family of fractal lattices embedded in three-dimensional space

Cites Work

• Quenched averages for self-avoiding walks and polygons on deterministic fractals
• Waves in the sandpile model on fractal lattices
• Self-avoiding random walks: Some exactly soluble cases
• Statistics of equally weighted random paths on a class of self-similar structures

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