Effective interaction between guest charges immersed in 2D jellium

DOI10.1088/1751-8121/ad24c9zbMATH Open1548.82087WikidataQ129077179 ScholiaQ129077179MaRDI QIDQ6561759

Ladislav Šamaj

Publication date: 25 June 2024

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

zbMATH Keywords

jellium2D logarithmic interactioneffective attraction of like-charged colloidsexactly solvable 2D Coulomb systems

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Statistical mechanics of plasmas (82D10) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Cites Work

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• Counter-ions near a charged wall: exact results for disc and planar geometries
• The two-dimensional one-component plasma at \(\Gamma =2:\) The semiperiodic strip
• A functional relation among the pair correlations of the two-dimensional one-component plasma.
• Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma
• Exact finite-size study of the 2D OCP at \(\Gamma=4\) and \(\Gamma=6\)
• Is the two-dimensional one-component plasma exactly solvable?
• Relations among two methods for computing the partition function of the two-dimensional one-component plasma
• An analytic treatment of the first-order correction to the Poisson-Boltzmann interaction free energy in the case of counterion-only Coulomb fluid
• Electric double layers with modulated surface charge density: exact 2D results

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