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We have investigated ion current rectification properties of a recently prepared bipolar nanofluidic diode. This device is based on a single conically shaped nanopore in a polymer film whose pore walls contain a sharp boundary between…

Other Condensed Matter · Physics 2009-11-13 D. Constantin , Z. S. Siwy

Ion transport measurements are widely used as an indirect probe for various properties of confined electrolytes. It is generally assumed that the ion concentration in a nanoscale channel is equal to the ion concentration in the macroscopic…

Soft Condensed Matter · Physics 2023-04-05 Paul Robin , Adrien Delahais , Lydéric Bocquet , Nikita Kavokine

The mechanism allowing a protein to search of a target sequence on DNA is currently described as an intermittent process composed of 3D diffusion in bulk and 1D diffusion along the DNA molecule. Due to the relevant charge of protein and…

Biological Physics · Physics 2013-12-02 Maria Barbi , Fabien Paillusson

We present an equilibrium statistical-mechanical theory of selectivity in biological ion channels. In doing so, we introduce a grand canonical ensemble for ions in a channel's selectivity filter coupled to internal and external bath…

Biological Physics · Physics 2016-05-11 D. G. Luchinsky , W. A. T. Gibby , I. Kaufman , D. A. Timucin , P. V. E. McClintock

Diffusion theory establishes a fundamental connection between stochastic differential equations and partial differential equations. The solution of a partial differential equation known as the Fokker-Planck equation describes the…

Probability · Mathematics 2025-10-24 Carlos Escudero , Helder Rojas

Ion-conducting glasses and polymer systems show several characteristic peculiarities in their composition-dependent diffusion properties and in their dynamic response. First we give a brief review of the current understanding of the ion…

Condensed Matter · Physics 2016-08-31 O. Durr , P. Pendzig , W. Dieterich , A. Nitzan

The standard model for diffuse charge phenomena in colloid science, electrokinetics and biology is the Poisson-Boltzmann mean-field theory, which breaks down for multivalent ions and large surface charge densities due to electrostatic…

Soft Condensed Matter · Physics 2020-02-14 J. Pedro de Souza , Martin Z. Bazant

The electro-osmotic flow through a channel between two undulated surfaces induced by an external electric field is investigated. The gap of the channel is very small and comparable to the thickness of the electrical double layers. A lattice…

Soft Condensed Matter · Physics 2016-05-24 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

Cellular membranes are elastic lipid bilayers that contain a variety of proteins, including ion channels, receptors, and scaffolding proteins. These proteins are known to diffuse in the plane of the membrane and to influence the bending of…

Soft Condensed Matter · Physics 2020-10-28 Arijit Mahapatra , David Saintillan , Padmini Rangamani

Absorption and emission in inorganic bipolar solar cells based on low dimensional structures exhibiting the effects of quantum confinement is investigated in the framework of a comprehensive microscopic theory of the optical and electronic…

Mesoscale and Nanoscale Physics · Physics 2009-12-09 U. Aeberhard , U. Rau

We study self-regulating processes modeling biological transportation networks. Firstly, we write the formal $L^2$-gradient flow for the symmetric tensor valued diffusivity $D$ of a broad class of entropy dissipations associated with a…

Analysis of PDEs · Mathematics 2024-03-14 Jan Haskovec , Peter Markowich , Simone Portaro

A theory of spin-polarized electron transport in ferromagnet-semiconductor heterostructures, based on a unified semiclassical description of ballistic and diffusive transport in semiconductors, is outlined. The aim is to provide a framework…

Materials Science · Physics 2007-05-23 R. Lipperheide , U. Wille

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

The driving of vibrational motion by external electric fields is a topic of continued interest, due to the possibility of assessing new or metastable material phases with desirable properties. Here, we combine ab initio molecular dynamics…

Materials Science · Physics 2025-09-15 Elia Stocco , Christian Carbogno , Mariana Rossi

In this paper, we study effects of permanent charges on ion flows through membrane channels via a quasi-one-dimensional classical Poisson-Nernst-Planck system. This system includes three ion species, two cations with different valences and…

Soft Condensed Matter · Physics 2023-12-07 Ning Sun , Weishi Liu

The Poisson Boltzmann equation is known for its success in describing the Debye layer that arises from the charge separation phenomenon at the silica/water interface. However, by treating only the mobile ionic charges in the liquid, the…

Soft Condensed Matter · Physics 2019-07-30 Maijia Liao , Li Wan , Shixin Xu , Chun Liu , Ping Sheng

The interaction between charged bodies in an ionic solution is a general problem in colloid physics and becomes a central topic in the study of biological systems where the electrostatic interaction between proteins, nucleic acids,…

Soft Condensed Matter · Physics 2015-05-13 Fabien Paillusson , Maria Barbi , Jean-Marc Victor

At mesoscopic scales electrolyte solutions are modeled by the fluctuating generalized Poisson-Nernst-Planck (PNP) equations [J.-P. P\'eraud et al., Phys. Rev. F, 1(7):074103, 2016]. However, at length and time scales larger than the Debye…

Computational Physics · Physics 2019-04-10 Aleksandar Donev , Andrew J. Nonaka , Changho Kim , Alejandro L. Garcia , John B. Bell

The distribution of the electric microfield at a charged particle moving in a two-component plasma is calculated. The theoretical approximations are obtained via the parameter integration technique and using the screened pair approximation…

Plasma Physics · Physics 2015-06-26 J. Ortner , I. Valuev , W. Ebeling

Ionic currents accompanying DNA translocation strongly depend on molarity of the electrolyte solution and the shape and surface charge of the nanopore. By means of the Poisson-Nernst-Planck equations it is shown how conductance is modulated…

Soft Condensed Matter · Physics 2015-07-16 Valerio Mazzone , Simone Melchionna , Umberto Marini Bettolo Marconi
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