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For multispecies ions, we study boundary layer solutions of charge conserving Poisson-Boltzmann (CCPB) equations [50] (with a small parameter \k{o}) over a finite one-dimensional (1D) spatial domain, subjected to Robin type boundary…

Analysis of PDEs · Mathematics 2015-04-28 Chiun-Chang Lee , Hijin Lee , YunKyong Hyon , Tai-Chia Lin , Chun Liu

A new modified Poisson-Boltzmann equation accounting for the finite size of the ions valid for realistic salt-free concentrated suspensions has been derived, extending the formalism developed for pure salt-free suspensions [Roa et al.,…

Soft Condensed Matter · Physics 2017-09-13 Rafael Roa , Félix Carrique , Emilio Ruiz-Reina

Battery electrode surfaces are generally coated with electronically insulating solid films of thickness 1-50 nm. Both electrons and Li+ can move at the electrode-surface film interface in response to the voltage, which adds complexity to…

Materials Science · Physics 2015-07-10 Kevin Leung , Andrew Leenheer

We generalize linearized Gouy-Chapman-Stern theory of electric double layer for nanostructured and morphologically disordered electrodes. Equation for capacitance is obtained using linear Gouy-Chapman (GC) or Debye-$\rm{\ddot{u}}$ckel…

Materials Science · Physics 2015-06-04 Rama Kant , Birla S. Maibam

The nanoscopic mass and charge distribution within the double layer at electrified interfaces plays a key role in electrochemical phenomena of huge technological relevance for energy production and conversion. However, in spite of its…

Chemical Physics · Physics 2019-05-29 Remi Khatib , Ashwinee Kumar , Stefano Sanvito , Marialore Sulpizi , Clotilde S. Cucinotta

A better understanding of interfacial mechanisms is needed to improve the performances of electrochemical devices. Yet, simulating an electrode surface at fixed electrolyte composition remains a challenge. Here we apply a finite electric…

Materials Science · Physics 2019-11-13 Thomas Dufils , Guillaume Jeanmairet , Benjamin Rotenberg , Michiel Sprik , Mathieu Salanne

We explore the effect of steric interaction on the ionic density distribution near a charged hard wall. For weakly charged walls, small particles, and monovalent ions the mean-field Poisson-Boltzmann equation provides an excellent…

Soft Condensed Matter · Physics 2015-06-05 Derek Frydel , Yan Levin

The electrostatic potential of a highly charged disc (clay platelet) in an electrolyte is investigated in detail. The corresponding non-linear Poisson-Boltzmann (PB) equation is solved numerically, and we show that the far-field behaviour…

Soft Condensed Matter · Physics 2009-11-10 R. Agra , E. Trizac , L. Bocquet

Using Poisson-Boltzmann equation and linear response theory, we derive an effective interaction potential due to a fixed charge distribution in a solution containing polyelectrolytes and point salt. We obtain an expression for the effective…

Soft Condensed Matter · Physics 2016-01-08 Sandipan Dutta , and Y. S. Jho

The linear Boltzmann equation for elastic and/or inelastic scattering is applied to derive the distribution function of a spatially homogeneous system of charged particles spreading in a host medium of two-level atoms and subjected to…

Statistical Mechanics · Physics 2009-11-13 A. Rossani , A. M. Scarfone

The electric microfield distribution at charged particles is studied for two-component electron-ion plasmas using molecular dynamics simulation and theoretical models. The particles are treated within classical statistical mechanics using…

Plasma Physics · Physics 2009-11-11 H. B. Nersisyan , C. Toepffer , G. Zwicknagel

Electrochemical devices often consist of multicomponent electrolyte solutions. Two processes influence the overall dynamics of these devices: the formation of electrical double layers and chemical conversion due to redox reactions. However,…

Chemical Physics · Physics 2022-06-20 Nathan Jarvey , Filipe Henrique , Ankur Gupta

Continuum electrolyte models represent a practical tool to account for the presence of the diffuse layer at electrochemical interfaces. However, despite the increasing popularity of these in the field of materials science it remains unclear…

Computational Physics · Physics 2019-01-18 Francesco Nattino , Matthew Truscott , Nicola Marzari , Oliviero Andreussi

The Electron Localization Function (ELF) by Becke and Edgecombe [J. Chem. Phys. {\bf 92}, 5397 (1990)] is routinely adopted as a descriptor of atomic shells and covalent bonds. Since the ELF and its related quantities find useful…

Materials Science · Physics 2018-08-29 Stefano Pittalis , Daniele Varsano , Alain Delgado , Carlo Andrea Rozzi

Whereas the majority of ions in the bulk of a solvent-free ionic liquid is bound into clusters, this is expected to change in the electrical double layer (EDL), in which the resulting electric field 'prefers' to interact with electrical…

Chemical Physics · Physics 2020-04-27 Yufan Zhang , Ting Ye , Ming Chen , Zachary Goodwin , Jun Huang , Guang Feng , Alexei Kornyshev

The effect of the dielectric permittivity of the electrolytic medium in the Electrical Double Layer (EDL) in Nanochannel is an important factor that requires a correction, before the application of the model in various chemical and…

Soft Condensed Matter · Physics 2016-02-23 Rajendra Padidhapu , Shahnaz Bathul , V. Brahmajirao

Ions in ionic liquids and concentrated electrolytes reside in a crowded, strongly-interacting environment, leading to the formation of discrete layers of charges at interfaces. Here, we propose a continuum theory that captures the…

The interfacial nature of the electric double layer (EDL) assumes that electrode surface morphology significantly impacts the EDL properties. Since molecular-scale roughness modifies the structure of EDL, it is expected to disturb the…

Chemical Physics · Physics 2024-02-09 Irina Nesterova , Aleksey Khlyupin , Nikolay Evstigneev , Oleg Ryabkov , Kirill M. Gerke

In a previous paper a method was developed to subtract the interactions due to periodically replicated charges (or other long-range entities) in one spatial dimension. The method constitutes a generalized "electrostatic layer correction"…

Materials Science · Physics 2009-11-07 Jason de Joannis , Axel Arnold , Christian Holm

Current research presents an innovative model of half-space plasmon excitations for electron gas of arbitrary degeneracy in an ambient jellium-like positive background . The linearized Schr\"{o}dinger-Poisson system is used to derive…

Plasma Physics · Physics 2021-01-15 M. Akbari-Moghanjoughi