A closed form solution of the one-dimensional Born–Green–Yvon equation for a hard-rod fluid

DOI10.1063/1.529838zbMath0760.34053OpenAlexW2013626499MaRDI QIDQ4030994

D. J. Kaup, Gregory H. Paine

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529838

zbMATH Keywords

inverse scattering transformone-dimensionalclosed form solutionshard rodsequilibrium pair correlation functionnonlinear Born-Green-Yvon differential-difference equation

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Statistical mechanics of liquids (82D15)

Related Items (1)

Thermal disorder, fluctuations, growth and fragmentation of finite one-dimensional atomic chains

Cites Work

• Monodromy- and spectrum-preserving deformations. I
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Associated integrable systems
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• On the Toda Lattice. II: Inverse-Scattering Solution
• Statistical Mechanics of Fluid Mixtures
• The Complete Equation of State of One, Two and Three-Dimensional Gases of Hard Elastic Spheres
• A general kinetic theory of liquids I. The molecular distribution functions

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