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Related papers: Numerical Methods for a Poisson-Nernst-Planck-Ferm…

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We have studied the dynamics of chloride and potassium ions in the interior of the OmpF porin under the influence of an external electric field. From the results of extensive all-atom molecular dynamics simulations of the system we computed…

Soft Condensed Matter · Physics 2015-05-20 Carles Calero , Jordi Faraudo , Marcel Aguilella-Arzo

First-order energy dissipative schemes in time are available in literature for the Poisson-Nernst-Planck (PNP) equations, but second-order ones are still in lack. This work proposes novel second-order discretization in time and finite…

Numerical Analysis · Mathematics 2023-09-08 Jie Ding , Shenggao Zhou

Water-borne diseases are still a major public health concern, as there are circumstances under which water could act as a carrier of the pathogen, extending their modeling beyond direct contact between hosts. In the present work, we…

Analysis of PDEs · Mathematics 2025-11-10 Mohamed Mehdaoui , Yassine Ouzrour

The Position Based Fluids (PBF) method is a state-of-the-art approach for fluid simulations in the context of real-time applications like games. It uses an iterative solver concept that tries to maintain a constant fluid density…

Graphics · Computer Science 2016-08-17 Marcel Köster , Antonio Krüger

In ionic solutions, there are multi-species charged particles (ions) with different properties like mass, charge etc. Macroscopic continuum models like the Poisson-Nernst-Planck (PNP) systems have been extensively used to describe the…

Analysis of PDEs · Mathematics 2024-08-21 Hao Wu , Tai-Chia Lin , Chun Liu

In this paper we present a computer simulation study of ionic conductivity in solid polymeric electrolytes. The multiphase nature of the material is taken into account. The polymer is represented by a regular lattice whose sites represent…

Condensed Matter · Physics 2007-05-23 Aninda Jiban Bhattacharyya , T. R. Middya , S. Tarafdar

In this research, we explore how permanent charges affect the movement of ionic currents through ion channels. We use a quasi-one-dimensional classical Poisson-Nernst-Planck (PNP) model to study two types of ions, one positively charged and…

Dynamical Systems · Mathematics 2023-12-29 Hamid Mofidi

We perform a systematic application of the hybrid particle-field molecular dynamics technique [Milano et al, J. Chem. Phys. 2009, 130, 214106] to study interfacial properties and potential of mean force (PMF) for separating nanoparticles…

Modelling interfacial dynamics with soluble surfactants in a multiphase system is a challenging task. Here, we consider the numerical approximation of a phase-field surfactant model with fluid flow. The nonlinearly coupled model consists of…

Computational Physics · Physics 2020-03-02 Guangpu Zhu , Jisheng Kou , Shuyu Sun , Jun Yao , Aifen Li

The flow of charge carriers in materials can, under some circumstances, mimic the flow of viscous fluids. In order to visualize the consequences of such effects, new methodologies must be developed that can probe the quasiparticle flow…

Mesoscale and Nanoscale Physics · Physics 2023-02-24 Zachary J. Krebs , Wyatt A. Behn , Songci Li , Keenan J. Smith , Kenji Watanabe , Takashi Taniguchi , Alex Levchenko , Victor W. Brar

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

This is an early but comprehensive review of the PNP Poisson Nernst Planck theory of ion channels. Extensive reference is made to the earlier literature. The starting place for this theory of open channels is a theory of electrodiffusion…

Biomolecules · Quantitative Biology 2010-09-16 Bob Eisenberg

As the characteristic lengths of advanced electronic devices are approaching the atomic scale, ab initio simulation method, with fully consideration of quantum mechanical effects, becomes essential to study the quantum transport phenomenon…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Meng Ye , Xiangwei Jiang , Shu-Shen Li , Lin-Wang Wang

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

In a multiscale modeling approach, we present computer simulation results for a rectifying bipolar nanopore on two modeling levels. In an all-atom model, we use explicit water to simulate ion transport directly with the molecular dynamics…

Mesoscale and Nanoscale Physics · Physics 2018-03-13 Zoltán Ható , Mónika Valiskó , Tamás Kristóf , Dirk Gillespie , Dezső Boda

The synchronized molecular dynamics simulation via macroscopic heat and momentum transfer is proposed for the non-isothermal flow behaviors of complex fluids. In this method, the molecular dynamics simulations are assigned to small fluid…

Soft Condensed Matter · Physics 2014-10-29 Shugo Yasuda , Ryoichi Yamamoto

We present a method for performing path integral molecular dynamics (PIMD) simulations for fermions and address its sign problem. PIMD simulations are widely used for studying many-body quantum systems at thermal equilibrium. However, they…

Chemical Physics · Physics 2020-05-07 Barak Hirshberg , Michele Invernizzi , Michele Parrinello

In order to describe the dynamics of crowded ions (charged particles), we use an energetic variation approach to derive a modified Poisson-Nernst-Planck (PNP) system which includes an extra dissipation due to the effective velocity…

Mathematical Physics · Physics 2014-08-01 Chia-Yu Hsieh , YunKyong Hyon , Hijin Lee , Tai-Chia Lin , Chun Liu

Dissipative particle dynamics is a widely used mesoscale technique for the simulation of hydrodynamics (as well as immersed particles) utilizing coarse-grained molecular dynamics. While the method is capable of describing any fluid, the…

Computational Physics · Physics 2019-10-22 Ryan C. Krafnick , Angel E. Garcia

Severe accident analysis using system-level codes such as MELCOR is indispensable for nuclear safety assessment, yet the computational cost of repeated simulations poses a significant bottleneck for parametric studies and uncertainty…

Machine Learning · Computer Science 2026-04-06 Jeesuk Shin , Donggyun Seo , Sihyeong Yu , Joongoo Jeon