Exact asymptotic expansions for the cylindrical Poisson–Boltzmann equation

DOI10.1088/1742-5468/2006/06/P06018zbMath1244.82091arXivcond-mat/0606068MaRDI QIDQ2903741

Emmanuel Trizac, Gabriel Téllez

Publication date: 12 August 2012

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0606068

zbMATH Keywords

cylindrical Poisson-Boltzmann equationintegrable Painlevé/Toda type systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Statistical mechanics of polymers (82D60) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (3)

Renormalized surface charge density for a strongly charged plate in asymmetric electrolytes: exact asymptotic expansion in Poisson Boltzmann theory ⋮ Integrability and dynamics of the Poisson-Boltzmann equation in simple geometries ⋮ Guest charges in an electrolyte: renormalized charge, long- and short-distance behavior of the electric potential and density profiles

Cites Work

• Asymptotics of a \(\tau\)-function arising in the two-dimensional Ising model
• Asymptotics of a class of solutions to the cylindrical Toda equations
• Some classes of solutions to the Toda lattice hierarchy
• On the two-dimensional Coulomb gas
• Painlevé functions of the third kind
• The Potential of an Infinite Rod-Like Molecule and the Distribution of the Counter Ions
• Thermodynamic properties of the two-dimensional two-component plasma

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