Analytic properties of the Mayer-Montroll equation

DOI10.1007/BF00398547zbMath0581.47009MaRDI QIDQ1067571

Marek Gorzelańczyk

Publication date: 1985

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

zbMATH Keywords

thermodynamic limitphase transitionanalytic properties of solutions of the Mayer-Montroll equationanalytic version of the Fredholm alternativecompactness of the Mayer-Montroll operator with nonnegative potential in a finite volumemeromorphic function of the chemical activity

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26) (Semi-) Fredholm operators; index theories (47A53) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Cites Work

• Meromorphic families of compact operators
• Spectrum of the Kirkwood–Salsburg operator and phase transitions

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