Phase transitions on fractal lattices with long-range interactions

DOI10.1007/BF01033078zbMath0663.58044MaRDI QIDQ1114213

Oliver Penrose

Publication date: 1986

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

phase transitionIsing ferromagnetfractal latticeslong range force

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

The Boltzmann equation for dissipative disparate mixtures, Quantum field-theory models on fractal spacetime. I: Introduction and overview. II: Hierarchical propagators

Cites Work

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• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Phase Transition and Fractals