On the nature of the nearest singularities of the free energy in the neighborhood of a critical point

DOI10.1007/BF01009747zbMath0599.58009MaRDI QIDQ1080236

Michael Coopersmith

Publication date: 1983

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

free energysingularitycritical pointIsing modelRiemann surfacebranch pointsAlgebraic functionsspinodal line

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Cites Work

• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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