Smooth phase in the one-dimensional discrete Gaussian model with \(1/(i-j)^2\) interaction at inverse temperature \(\beta> 1\)

DOI10.1007/BF01054424zbMath0925.82029OpenAlexW1997703223MaRDI QIDQ1203272

Domingos H. U. Marchetti

Publication date: 1 September 1994

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

Full work available at URL: https://doi.org/10.1007/bf01054424

zbMATH Keywords

critical temperaturemultiscale analysisPeierls expansion

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Power-law falloff in two-dimensional Coulomb gases at inverse temperature \(\beta>8\pi\)
• Power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional lattice Coulomb gas.

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