Differentiability properties of the pressure in lattice systems
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Publication:1133742
DOI10.1007/BF01230087zbMath0422.46059OpenAlexW2159385995MaRDI QIDQ1133742
H. A. M. Daniels, Aernout C. D. van Enter
Publication date: 1980
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01230087
Phase transitions (general) in equilibrium statistical mechanics (82B26) Miscellaneous applications of functional analysis (46N99)
Related Items (16)
Differentiability of the pressure in non-compact spaces ⋮ A convex analysis approach to entropy functions, variational principles and equilibrium states ⋮ On the inverse problem in statistical mechanics ⋮ Typical ground states for large sets of interactions ⋮ Chaos: butterflies also generate phase transitions ⋮ Stability of uniqueness and coexistence of equilibrium states of the Ising model under long range perturbations ⋮ The double transpose of the Ruelle operator ⋮ Differentiability properties of the pre-image pressure ⋮ Breaking of periodicity at positive temperatures ⋮ On the absence of ferromagnetism in typical 2D ferromagnets ⋮ Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory ⋮ Multiple phase transitions on compact symbolic systems ⋮ Sturmian ground states in classical lattice-gas models ⋮ Generic triviality of phase diagrams in spaces of long-range interactions ⋮ Generic Fréchet differentiability of the pressure in certain lattice systems ⋮ Stability of ground state degeneracy to long-range interactions
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