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We investigate the effect on biomembrane mechanical properties due to the presence an external potential for a non-conductive non-compressible membrane surrounded by different electrolytes. By solving the Debye-Huckel and Laplace equations…

Soft Condensed Matter · Physics 2007-06-13 Tobias Ambjornsson , Michael A. Lomholt , Per Lyngs Hansen

We study the effect of Debye screening of hypercharge when a net fermion number is reflected from a domain wall during a first order phase transition, which may be relevant for electroweak baryogenesis. We give a simple method for computing…

High Energy Physics - Phenomenology · Physics 2009-10-28 James M. Cline , Kimmo Kainulainen

Understanding how electrolyte-filled porous electrodes respond to an applied potential is important to many electrochemical technologies. Here, we consider a model supercapacitor of two blocking cylindrical pores on either side of a…

Soft Condensed Matter · Physics 2022-04-05 Jie Yang , Mathijs Janssen , Cheng Lian , René van Roij

According to classical electrolyte theories interactions in dilute (low ion density) electrolytes decay exponentially with distance, with the Debye screening length the characteristic length-scale. This decay length decreases monotonically…

Soft Condensed Matter · Physics 2016-07-15 Alexander M. Smith , Alpha A. Lee , Susan Perkin

We consider the translocation of a neutral (uncharged) nanoparticle through a pore in a thin membrane with constant surface charge density. If the concomitant Debye screening layer is sufficiently thin, the resulting forces experienced by…

Soft Condensed Matter · Physics 2014-01-09 Sebastian Getfert , Thomas Töws , Peter Reimann

We present several aspects of the screening of charged macromolecules in an electrolyte. After a review of the basic mean field approach, based on the linear Debye-Huckel theory, we consider the case of highly charged macromolecules, where…

Soft Condensed Matter · Physics 2012-04-27 Gabriel Tellez

The classical Debye-H\"{u}ckel screening effect of the electrostatic field generated by isolated charged particles immersed in a plasma is reviewed. The validity of the underlying mathematical model, and particularly of the weak-field…

Plasma Physics · Physics 2009-11-11 D. Sarmah , M. Tessarotto , M. Salimullah

We study the charging dynamics of a long electrolyte-filled slit pore in response to a suddenly applied potential. In particular, we analytically solve the Poisson-Nernst-Planck (PNP) equations for a pore for which $\lambda_D\ll H\ll L$,…

Soft Condensed Matter · Physics 2022-01-28 Timur Aslyamov , Mathijs Janssen

In this work we examine the electrostatic screening potential due to a point charge located off-centre in a spherical dielectric cavity. This potential is expanded for the case in which the dielectric constant $\epsilon$ is large, several…

Classical Physics · Physics 2009-11-13 Christopher J Glosser , Roger C Hill

Mapping the electrostatic potential (ESP) distribution around ions in electrolyte solution is crucial for the establishment of a microscopic understanding of electrolyte solution properties. For solutions in the bulk phase, it has not been…

Understanding how electric fields destabilize biological membranes is important for electroporation-based technologies and bioelectronic interfaces. However, theoretical descriptions of this phenomenon remain fragmented. Existing theories…

Soft Condensed Matter · Physics 2026-03-25 Sirui Ning , Yannick A. D. Omar , Karthik Shekhar , Kranthi K. Mandadapu

Electrochemical phenomena in biology often unfold in confined geometries where micrometer- to millimeter-scale domains coexist with nanometer-scale interfacial diffuse charge layers. We analyze a model lipid membrane-electrolyte system…

Soft Condensed Matter · Physics 2025-08-20 Joshua B. Fernandes , Hyeongjoo Row , Kranthi K. Mandadapu , Karthik Shekhar

Porous electrodes are found in energy storage devices such as supercapacitors and pseudocapacitors. However, the effect of electrode-pore-size distribution over their energy storage properties remains unclear. Here, we develop a model for…

Chemical Physics · Physics 2021-12-03 Filipe Henrique , Pawel J. Zuk , Ankur Gupta

We characterize the dynamics of an electrolyte embedded in a varying-section channel under the action of a constant external electrostatic field. By means of molecular dynamics simulations we determine the stationary density, charge and…

Soft Condensed Matter · Physics 2018-10-31 Mauro Chinappi , Paolo Malgaretti

This modeling work investigates the electrical modulation characteristics of field-effect gated nanopores. Highly nonlinear current modulations are observed in nanopores with non-overlapping electric double layers, including those with pore…

Mesoscale and Nanoscale Physics · Physics 2010-10-07 Yang Liu , David E. Huber , Vincent Tabard-Cossa , Robert W. Dutton

An immobile charged species provides a charged medium for transport of charge carriers that is exploited in many applications, such as permselective membranes, doped semiconductors, biological ion channels, as well as porous media and…

Chemical Physics · Physics 2019-10-09 Juhyun Song , Edwin Khoo , Martin Z. Bazant

An expression is derived within the framework of the Debye-H\"uckel approximation for the screening length of a field in a p-type semiconductor taking into account the energy spread of immobile acceptor levels and the density of states tail…

Materials Science · Physics 2014-07-21 N. A. Poklonski

An ubiquitous property of plasmas is the so-called Debye shielding of the electrostatic potential. Important aspects of Debye screening concern, in particular, the investigation of non-linear charge screening effects taking place in…

Plasma Physics · Physics 2007-05-23 D. Sarmah , M. Tessarotto , M. Salimullah

We study a model problem on the filtration of a conducting fluid through a porous layer. A porous medium is presented as an assemblage of identical spherical cells. Each cell consists of a porous core and liquid shell. We show the…

Analysis of PDEs · Mathematics 2026-04-20 Yulia Koroleva

The response of a semiflexible polyelectrolyte chain to stretching in the regimes of moderate and weak screening is studied theoretically, with a special focus on DNA experiments. By using the nonlinear Poisson--Boltzmann description of…

Soft Condensed Matter · Physics 2007-05-23 Alexei V. Tkachenko
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