Uniqueness of continuum one-dimensional Gibbs states for slowly decaying interactions
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Publication:1096260
DOI10.1007/BF01010578zbMath0633.60109MaRDI QIDQ1096260
Publication date: 1986
Published in: Journal of Statistical Physics (Search for Journal in Brave)
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)
Related Items (2)
A class of continuum models with no phase transitions ⋮ Absence of phase transitions for continuum models of dimension d>1
Cites Work
- Convergence of grand canonical Gibbs measures
- Absence of continuous symmetry breaking in a one-dimensional n**-2 model
- Uniqueness of one-dimensional continuum Gibbs states
- Analyticity for one-dimensional systems with long-range superstable interactions
- Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics
- Random point processes and DLR equations
- Existence of a phase-transition in a one-dimensional Ising ferromagnet
- Statistical mechanics of a one-dimensional lattice gas
- Superstable interactions in classical statistical mechanics
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