On the inverse problem in statistical mechanics

DOI10.1007/BF02029131zbMath0525.46037OpenAlexW1973767882MaRDI QIDQ594356

N. M. Hugenholtz

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02029131

zbMATH Keywords

equilibrium stateshort range potentialshort range potentialsaverage entropyaverage energyaverage free energy per lattice pointBanach space of translation invariant potentialsquantum spin one half system

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) States of selfadjoint operator algebras (46L30)

Related Items

Renormalization group in the uniqueness region: weak Gibbsianity and convergence, Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory, An inverse problem in quantum statistical physics, Non-Gibbsian limit for large-block majority-spin transformations, A note on the uniqueness result for the inverse Henderson problem, The inverse problem in classical statistical mechanics

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• Existence of phase transitions for long-range interactions
• Statistical mechanics of quantum spin systems. II
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