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The nonlinear electrokinetic response of ionic solutions is important in nanofluidics. However, quantitatively understanding the mechanisms is still a challenging problem because of a lack of analytic approaches. Here, a general framework…

Fluid Dynamics · Physics 2023-05-26 Yuki Uematsu

The comprehensive depiction of the many-body effects governing nanoconfined electrolytes is an essential step for the conception of nanofluidic devices with optimized performance. By incorporating self-consistently multivalent charges into…

Soft Condensed Matter · Physics 2020-12-14 Sahin Buyukdagli

A model of a finite cylindrical ion channel through a phospholipid membrane of width $L$ separating two electrolyte reservoirs is studied. Analytical solution of the Poisson equation is obtained for an arbitrary distribution of ions inside…

Soft Condensed Matter · Physics 2009-11-11 Yan Levin

The phase offset between surface charge modulation and geometric undulations in a corrugated nanochannel provides a tunable mechanism for rectified, diode-like ion transport under purely pressure-driven conditions: reversing the applied…

Fluid Dynamics · Physics 2026-05-15 Thomas Petersen , Pouya Golchin , Jinwoo Im , Felipe P. J. de Barros

We perform computational investigations of electrolyte-mediated interactions of charged colloidal particles confined within nanochannels. We investigate the role of discrete ion effects, valence, and electrolyte strength on colloid-wall…

Soft Condensed Matter · Physics 2023-02-28 Inderbir S. Sidhu , Amalie L. Frischknecht , Paul J. Atzberger

In the present study, the ionic transport and selectivity of electrokinetically-driven flow of power-law fluids in a long pH-regulated rectangular nanochannel are analyzed. The electrical potential and momentum equations are numerically…

Fluid Dynamics · Physics 2021-11-09 Mohammad Ali Vakili , Morteza Sadeghi , Mohammad Hassan Saidi , Ali Moosavi

Recent advance in nanotechnology has led to rapid advances in nanofluidics, which has been established as a reliable means for a wide variety of applications, including molecular separation, detection, crystallization and biosynthesis.…

Quantitative Methods · Quantitative Biology 2015-03-03 Jin Kyoung Park , Kelin Xia , Guo-Wei We

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

The self-consistent quantum-electrostatic (also known as Poisson-Schr\"odinger) problem is notoriously difficult in situations where the density of states varies rapidly with energy. At low temperatures, these fluctuations make the problem…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 P. Armagnat , A. Lacerda-Santos , B. Rossignol , C. Groth , X. Waintal

We investigate the flow of an electrolyte through a rigid nanochannel decorated with a surface charge pattern. Employing lattice Boltzmann and dissipative particle dynamics methods, as well as analytical theory, we show that the…

Soft Condensed Matter · Physics 2024-01-12 Tine Curk , Sergi G. Leyva , Ignacio Pagonabarraga

The transport of fluids at the nanoscale is fundamental to manifold biological and industrial processes, ranging from neurotransmission to ultrafiltration. Yet, it is only recently that well-controlled channels with cross-sections as small…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Nikita Kavokine , Paul Robin , Lydéric Bocquet

Ion channels are of major interest and form an area of intensive research in the fields of biophysics and medicine since they control many vital physiological functions. The aim of this work is on one hand to propose a fully stochastic and…

Biomolecules · Quantitative Biology 2016-01-11 Daniela Morale , Mattia Zanella , Vincenzo Capasso , Willi Jaeger

We consider a coupled system of Navier Stokes, Maxwell Stefan and Poisson Boltzmann equations by incorporating the variation of dielectric constant, which governs the electro osmotic flow in nano channel, describing the evolution of the…

Fluid Dynamics · Physics 2016-02-24 Rajendra Padidhapu , Shahnaz Bathul , V. Brahmajirao

The description of electron-electron interactions in transport problems is both analytically and numerically difficult. Here we show that a much simpler description of electron transport in the presence of interactions can be achieved in…

Strongly Correlated Electrons · Physics 2009-11-11 Roberto D'Agosta , Massimiliano Di Ventra

Nanofluidic devices prompts unconventional ion transports appealing to energy and information technologies, thanks to the susceptibility of confined electric double layers (EDL) to various external physical fields. Although experimental…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 Zhongyuan Zhao , Chudi Qi , Yuheng Li , Shoushan Fan , Qunqing Li , Yang Wei

Confined ion transport is involved in nanoporous ionic systems. However, it is challenging to mechanistically predict its electrical characteristics for rational system design and performance evaluation using electrical circuit model due to…

Mesoscale and Nanoscale Physics · Physics 2024-06-03 Hualin Zhan , Richard Sandberg , Fan Feng , Qinghua Liang , Ke Xie , Lianhai Zu , Dan Li , Jefferson Zhe Liu

We demonstrate the role of selectivity variation in the structure of the non-equilibrium extended space-charge using 1D analytic and 2D numerical Poisson-Nernst-Planck models for the electro- diffusive transport of a symmetric electrolyte.…

Soft Condensed Matter · Physics 2015-03-25 Jarrod Schiffbauer , Neta Leibowitz , Gilad Yossifon

We consider the compressible Navier-Stokes-Poisson equations in $\mathbb{R}^d$ ($d\geq2$), a classical model for barotropic compressible flows coupled with a self-consistent electrostatic potential. We show that the electrostatic coupling…

Analysis of PDEs · Mathematics 2026-02-11 Ling-yun Shou , Zihao Song

Classical and quantum dynamics are important limits for the understanding of the transport characteristics of interacting electrons in nanodevices. Here we apply an intermediate semiclassical approach to investigate the dynamics of two…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Christoph M. Puetter , Satoru Konabe , Yasuhiro Hatsugai , Kenji Ohmori , Kenji Shiraishi

We propose in this paper to derive and analyze a self-consistent model describing the diffusive transport in a nanowire. From a physical point of view, it describes the electron transport in an ultra-scaled confined structure, taking in…

Analysis of PDEs · Mathematics 2011-05-19 Jourdana Clément , Nicolas Vauchelet
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