Discrete lattice systems and the equivalence of microcanonical, canonical and grand canonical Gibbs states

DOI10.1007/BF01218756zbMath0573.60097MaRDI QIDQ1062693

Paul Vanheuverzwijn

Publication date: 1985

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

zbMATH Keywords

correlation functionsstatistical mechanicsclassical discrete lattice systemmicrocanonical Gibbs measuremixture of canonical Gibbs measuresmixture of grand canonical measures

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (1)

The equivalence of ensembles for classical systems of particles.

Cites Work

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• Random fields
• Conditional equilibrium and the equivalence of microcanonical and grandcanonical ensembles in the thermodynamic limit
• Canonical Gibbs measures. Some extensions of de Finetti's representation theorem for interacting particle systems
• On the canonical Gibbs states associated with certain Markov chains
• Equilibrium states on thin energy shells
• Canonical and microcanonical Gibbs states

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