On the universality of the nonphase transition singularity in hard- particle systems

DOI10.1007/BF01014388zbMath0589.76097OpenAlexW1975818808MaRDI QIDQ1074451

Douglas Poland

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01014388

zbMATH Keywords

radius of convergenceActivity seriesapproximately spherical particleshard particles in continuous spacehard-particle lattice gasesnonphase transition singularitysingularity on the negative activity axis

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (6)

From steady-state TASEP model with open boundaries to 1D Ising model at negative fugacity ⋮ Estimation of critical exponents from cluster coefficients and the application of this estimation to hard spheres ⋮ Transfer matrices and partition-function zeros for antiferromagnetic Potts models. IV. Chromatic polynomial with cyclic boundary conditions ⋮ TRANSFER-MATRIX STUDY OF NEGATIVE-FUGACITY SINGULARITY OF HARD-CORE LATTICE GAS ⋮ Spanning forests and the \(q\)-state Potts model in the limit \(q \to 0\) ⋮ Binary lattice-gases of particles with soft exclusion: exact phase diagrams for tree-like lattices

Cites Work

• Two theorems on classical many-particle systems
• Convergence of Fugacity Expansions for Fluids and Lattice Gases
• The Complete Equation of State of One, Two and Three-Dimensional Gases of Hard Elastic Spheres

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