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Reverse osmosis (RO) is a method to desalinate water with membranes and an applied pressure. Very important in the theory of mass transport in RO is the concentration polarization (CP) layer, which develops on the upstream side of the…

Chemical Physics · Physics 2023-10-03 P. M. Biesheuvel , S. Porada , I. Ryzhkov , M. Elimelech

Reverse osmosis and nanofiltration are membrane-based methods that remove solutes from solvent, for instance they remove salts from water (desalination). In these methods, an applied pressure is the driving force for solvent to pass the…

Chemical Physics · Physics 2024-01-23 P. M. Biesheuvel , S. Porada , B. Blankert , I. Ryzhkov , M. Elimelech

Ion concentration polarization (CP, current-induced concentration gradient adjacent to a charge-selective interface) has been well studied for single-phase mixed conductors (e.g., liquid electrolyte), but multiphase CP has been rarely…

Materials Science · Physics 2022-12-21 Huanhuan Tian , Ju Li , Martin Bazant

We present an analytical model of salt- and water-ion transport across an ion-selective interface based on an assumption of local equilibrium of the water-dissociation reaction. The model yields current-voltage characteristics and curves of…

Fluid Dynamics · Physics 2014-04-18 Christoffer P. Nielsen , Henrik Bruus

This paper studies mechanism of preconcentration of charged particles in a straight micro-channel embedded with permselective membranes, by numerically solving coupled transport equations of ions, charged particles and solvent fluid without…

Fluid Dynamics · Physics 2018-02-14 Zirui Li , Wei Liu , Yudan Zhu , Xiaohua Lu , Yuantong Gu , Jongyoon Han

The transport and dispersion of multiple species of charged ions are central to many biological and physical processes, including electrokinetic ion separation. However, most theoretical studies of dispersion in channels have focused on…

Soft Condensed Matter · Physics 2026-05-04 Thakurdas Mahata , Anirban Chatterjee , Ameeya Kumar Nayak

Ion transport in perm-selective media has been extensively investigated in recent years owing to its applications in advancements of fundamental understanding of nanoscale electrokinetics as well as innovative engineering applications. A…

Fluid Dynamics · Physics 2019-10-31 Junsuk Kim , Keon Huh , Ali Mani , Sung Jae Kim

Ion transport in highly-confined space is important to various applications, such as biosensing and seawater desalination with nanopores. All-atom molecular dynamics simulations are conducted to investigate the transport of Na$^+$ and…

Mesoscale and Nanoscale Physics · Physics 2019-07-30 Zhongwu Li , Yinghua Qiu , Yan Zhang , Min Yue , Yunfei Chen

Polymer translocation experiments typically involve anionic polyelectrolytes such as DNA molecules driven through negatively charged nanopores. Quantitative modelling of polymer capture to the nanopore followed by translocation therefore…

Soft Condensed Matter · Physics 2017-10-11 Sahin Buyukdagli , Tapio Ala-Nissila

We develop a correlation-corrected transport theory in order to predict ionic and polymer transport properties of membrane nanopores in physical conditions where mean-field electrostatics breaks down. The experimentally observed low KCl…

Soft Condensed Matter · Physics 2014-11-06 Sahin Buyukdagli , Tapio Ala-Nissila

Polyamide membranes, such as nanofiltration (NF) and reverse osmosis (RO) membranes, are widely used for water desalination and purification. However, the mechanisms of solute transport and solute rejection due to charge interactions remain…

Soft Condensed Matter · Physics 2025-03-17 Suwei Liu , Zi Hao Foo , John H. Lienhard , Sinan Keten , Richard M. Lueptow

Nanoporous membranes, leveraging their high-throughput characteristics, have been widely applied in fields such as molecular separation and energy conversion. Due to interpore interactions, besides the applied voltage and solution…

Soft Condensed Matter · Physics 2025-10-21 Hongwen Zhang , Bowen Ai , Zekun Gong , Tianyi Sui , Zuzanna S. Siwy , Yinghua Qiu

The differential migration of ions in an applied electric field is the basis for separation of chemical species by capillary electrophoresis. Axial diffusion of the concentration peak limits the separation efficiency. Electromigration…

Quantitative Methods · Quantitative Biology 2015-06-04 S. Ghosal , Z. Chen

Molecular dynamics simulation is utilized to investigate the ionic transport of NaCl in solution through a graphene nanopore under an applied electric field. Results show the formation of concentration polarization layers in the vicinity of…

Biological Physics · Physics 2013-01-10 Guohui Hu , Mao Mao , Sandip Ghosal

A cross-diffusion system describing ion transport through biological membranes or nanopores in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. The ion concentrations solve strongly coupled diffusion equations…

Analysis of PDEs · Mathematics 2017-06-23 Anita Gerstenmayer , Ansgar Jüngel

Groundwater pollution poses a significant threat to environmental sustainability during urbanization. Existing remediation methods like pump-and-treat and electrokinetics have limited ion transport control. This study introduces a coupled…

Correlated anion and cation motion can significantly reduce the overall ion conductivity in electrolytes versus the ideal conductivity calculated based on the diffusion constants alone. Using coarse-grained molecular dynamics simulations,…

Soft Condensed Matter · Physics 2020-06-01 Kuan-Hsuan Shen , Lisa M. Hall

Transport of water through ion-exchange membranes is of importance both for electrodialysis (ED) and reverse electrodialysis (RED). In this work, we extend our previous theory [J. Membrane Sci., 510, (2016) 370-381] and include water…

Chemical Physics · Physics 2019-12-24 M. Tedesco , H. V. M. Hamelers , P. M. Biesheuvel

We present theory for ion and water transport through reverse osmosis membranes based on a Maxwell-Stefan framework combined with hydrodynamic theory for the reduced motion of particles in thin pores. We include all driving forces and…

Chemical Physics · Physics 2018-03-07 Y. S. Oren , P. M. Biesheuvel

We construct a coarse-grained molecular dynamics model based on poly(ethylene oxide) and lithium bis-(trifluoromethane)sulfonimide salt to examine the combined effects of temperature and salt concentration on the transport properties. Salt…

Soft Condensed Matter · Physics 2023-12-27 Alexandros J. Tsamopoulos , Zhen-Gang Wang
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