Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

The Electrical Double Layer01:30

The Electrical Double Layer

In the region where two bulk phases meet, an intricate electric charge distribution arises due to charge transfer, ion adsorption, molecular orientation, and charge distortion. This complex distribution is commonly referred to as the electrical double layer.When a solid electrode interfaces with ions in an electrolyte solution, the speed of electron transfer dictates the rates of oxidation and reduction. The electrode acquires a charge through the escape of atoms into the solution as cations or...
Electrochemical Systems01:24

Electrochemical Systems

Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution, the Zn metal, composed...
Processes at Electrodes01:30

Processes at Electrodes

The electrode interacts with ions in the electrolyte solution at its interface. The rate of oxidation and reduction depends on the speed at which electrons can transfer through this interface. As ions attach to or leave the electrode surface, the electrode acquires a charge, and an electrical potential forms across the interface, making the process more difficult to reach equilibrium. The charge on the electrode affects the local ion concentrations in the solution, though thermal motion...
Interfacial Electrochemical Methods: Overview01:06

Interfacial Electrochemical Methods: Overview

Interfacial electrochemical methods focus on the phenomena occurring at the boundary between an electrode and a solution, as opposed to bulk methods that concentrate on the solution's overall properties. These interfacial methods are classified as either static or dynamic based on the presence of a nonzero current in the electrochemical cell and the consistency of analyte concentrations. Static methods, such as potentiometry, measure the cell's potential without any significant current passing...
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
Junction Potentials in Galvanic Cells01:21

Junction Potentials in Galvanic Cells

The Nernst equation, derived under the assumption of thermodynamic equilibrium, calculates the electromotive force (emf) as the sum of potential differences at phase boundaries in a reversible cell without a liquid junction. However, in irreversible cells such as the Daniell cell, an additional potential difference named the liquid-junction potential (EJ) arises across the interface of two electrolyte solutions due to different ion diffusion rates. This EJ represents the potential difference...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Association between physical activity patterns and symptoms of obstructive sleep apnea: a cross-sectional analysis of NHANES data.

BMC pulmonary medicine·2024
Same author

Improving Methodologic Approaches in COPD and Air Pollution Research.

Chest·2024
Same author

Relationship between METS-IR and ABSI index and the prevalence of nocturia: a cross-sectional analysis from the 2005-2020 NHANES data.

Scientific reports·2024
Same author

Selective light-driven methane oxidation to ethanol.

Nature communications·2024
Same author

Characterization of acetolactate synthase genes and resistance mechanisms of multiple herbicide resistant Lolium multiflorum.

Plant physiology and biochemistry : PPB·2024
Same author

Comparison of proximal gastrectomy with tubular esophagogastric anastomosis and total gastrectomy with Roux-en-Y reconstruction in the treatment of adenocarcinoma of the esophagogastric junction of Siewert type II/III at stage II.

BMC surgery·2024
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Related Experiment Video

Updated: May 16, 2026

Precise Electrochemical Sizing of Individual Electro-Inactive Particles
05:03

Precise Electrochemical Sizing of Individual Electro-Inactive Particles

Published on: August 4, 2023

Nonlinear phase-field model for electrode-electrolyte interface evolution.

Linyun Liang1, Yue Qi, Fei Xue

  • 1Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA. lul22@psu.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

A new nonlinear phase-field model captures microstructure evolution in nonequilibrium processes like electroplating. It accurately describes interface motion and electrochemical kinetics, offering broader applicability than existing models.

More Related Videos

In Situ Neutron Powder Diffraction Using Custom-made Lithium-ion Batteries
11:25

In Situ Neutron Powder Diffraction Using Custom-made Lithium-ion Batteries

Published on: November 10, 2014

The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids
10:03

The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids

Published on: September 30, 2014

Related Experiment Videos

Last Updated: May 16, 2026

Precise Electrochemical Sizing of Individual Electro-Inactive Particles
05:03

Precise Electrochemical Sizing of Individual Electro-Inactive Particles

Published on: August 4, 2023

In Situ Neutron Powder Diffraction Using Custom-made Lithium-ion Batteries
11:25

In Situ Neutron Powder Diffraction Using Custom-made Lithium-ion Batteries

Published on: November 10, 2014

The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids
10:03

The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids

Published on: September 30, 2014

Area of Science:

  • Materials Science
  • Chemical Engineering
  • Computational Modeling

Background:

  • Microstructure evolution is critical in materials processing.
  • Existing phase-field models often assume linear kinetics, limiting their application to highly nonequilibrium processes.
  • Electrochemical reactions at interfaces drive processes like electroplating and electrode evolution.

Purpose of the Study:

  • To propose a novel nonlinear phase-field model for microstructure evolution.
  • To accurately model electrochemical reactions and interface dynamics.
  • To extend the applicability of phase-field models to highly nonequilibrium scenarios.

Main Methods:

  • Development of a nonlinear phase-field model.
  • Incorporation of Butler-Volmer-type kinetics for interfacial velocity.
  • Analysis of the model at sharp-interface and low overpotential limits.

Main Results:

  • The model demonstrates nonlinear dependence of phase-field evolution on the thermodynamic driving force.
  • It reproduces Butler-Volmer kinetics for interfacial velocity versus overpotential.
  • At low overpotentials, the model recovers the conventional Allen-Cahn equation.

Conclusions:

  • The proposed nonlinear phase-field model offers a more general approach to simulating microstructure evolution.
  • It accurately captures complex electrochemical kinetics at electrode-electrolyte interfaces.
  • This model is applicable to diverse highly nonequilibrium processes where linear kinetics are insufficient.