Emergent behaviour in electrodiffusion: Planck's other quanta

DOI10.1016/S0034-4877(14)60032-XzbMath1314.82037OpenAlexW2036259184MaRDI QIDQ2450212

A. J. Bracken, Ludvik Bass

Publication date: 19 May 2014

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(14)60032-x

zbMATH Keywords

Bäcklund transformationsflux quantizationPainlevé II equationemergent behaviournonlinear electrodiffusion

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Transport processes in time-dependent statistical mechanics (82C70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items

Moving boundary problems for an extended Dym equation. Reciprocal connection ⋮ Moving boundary problems for the Harry Dym equation and its reciprocal associates ⋮ Series solution of Painlevé II in electrodiffusion: conjectured convergence ⋮ Differential Equations of Electrodiffusion: Constant Field Solutions, Uniqueness, and New Formulas of Goldman--Hodgkin--Katz Type ⋮ Solutions of Painlevé II on Real Intervals: Novel Approximating Sequences

Cites Work

• Bäcklund transformations and their applications
• On a Painlevé II model in steady electrolysis: Application of a Bäcklund transformation
• Bäcklund flux quantization in a model of electrodiffusion based on Painlevé II
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Electrical structures of interfaces: a Painlevé II model
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
• New transformations for Painlevé’s third transcendent
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