Generic triviality of phase diagrams in spaces of long-range interactions

DOI10.1007/BF01207256zbMath0613.60096MaRDI QIDQ1819476

Robert B. Israel

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

long-range interactionslattice systemsGibbs Phase Rule

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (10)

Decimations for two-dimensional Ising and rotator models ⋮ Typical ground states for large sets of interactions ⋮ Stability of uniqueness and coexistence of equilibrium states of the Ising model under long range perturbations ⋮ Breaking of periodicity at positive temperatures ⋮ Criteria for the density of the graph of the entropy map restricted to ergodic states ⋮ On the absence of ferromagnetism in typical 2D ferromagnets ⋮ Regularity properties and pathologies of position-space renormalization-group transformations ⋮ Markov approximation of homogeneous lattice random fields ⋮ Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory ⋮ Non–cooperative equilibria of Fermi systems with long range interactions

Cites Work

• Differentiability properties of the pressure in lattice systems
• Existence of phase transitions for long-range interactions
• Some convexity questions arising in statistical mechanics.

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