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Data collected using the galvanostatic intermittent titration technique (GITT) and application of the Sand equation is a ubiquitous method for inferring the solid-state diffusivity in lithium-ion battery active materials. However, the…

Applied Physics · Physics 2025-07-18 A. Emir Gumrukcuoglu , James Burridge , Kieran O'Regan , Emma Kendrick , Jamie M. Foster

Time-dependent diffusion behavior is probed over sub-millisecond timescales in a single shot using an NMR static gradient, time-incremented echo train acquisition (SG-TIETA) framework. The method extends the Carr-Purcell-Meiboom-Gill (CPMG)…

Quantitative Methods · Quantitative Biology 2021-03-18 Teddy X. Cai , Nathan H. Williamson , Velencia J. Witherspoon , Rea Ravin , Peter J. Basser

Translational diffusion coefficients are routinely estimated from molecular dynamics simulations. Linear fits to mean squared displacement (MSD) curves have become the de facto standard, from simple liquids to complex biomacromolecules.…

Computational Physics · Physics 2020-11-20 Jakob Tómas Bullerjahn , Sören von Bülow , Gerhard Hummer

We develop a mathematical framework to analyze electrochemical impedance spectra in terms of a distribution of diffusion times (DDT) for a parallel array of random finite-length Warburg (diffusion) or Gerischer (reaction-diffusion) circuit…

Chemical Physics · Physics 2018-03-21 Juhyun Song , Martin Z. Bazant

Data scarcity is a fundamental barrier in Electrical Impedance Tomography (EIT), as undersampled Dirichlet-to-Neumann (DtN) measurements can substantially degrade conductivity reconstructions. We address this bottleneck by completing…

Numerical Analysis · Mathematics 2026-02-10 Ke Chen , Haizhao Yang , Chugang Yi

The charging of insulating samples degrades the quality and complicates the interpretation of images in scanning electron microscopy and is important in other applications, such as particle detectors. In this paper we analyze this…

Classical Physics · Physics 2020-06-19 Behrouz Raftari , Neil Budko , Kees Vuik

A particle with internal unobserved states diffusing in a force field will generally display effective advection-diffusion. The drift velocity is proportional to the mobility averaged over the internal states, or effective mobility, while…

Statistical Mechanics · Physics 2017-10-13 Erik Aurell , Stefano Bo

Self-correction is an effective technique for maintaining parallel sampling in discrete diffusion models with minimal performance degradation. Prior work has explored self-correction at inference time or during post-training; however, such…

Machine Learning · Computer Science 2026-03-04 Linxuan Wang , Ziyi Wang , Yikun Bai , Wei Deng , Guang Lin , Qifan Song

Self-diffusion and interdiffusion coefficients of binary ionic mixtures are evaluated using the Effective Potential Theory (EPT), and the predictions are compared with the results of molecular dynamics simulations. We find that EPT agrees…

Plasma Physics · Physics 2017-02-01 Nathaniel R. Shaffer , Scott D. Baalrud , Jérôme Daligault

Diffusion coefficient measurements are important for many biological and material investigations, such as particle dynamics, kinetics, and size determinations. Amongst current measurement methods, single particle tracking (SPT) offers the…

Biomolecules · Quantitative Biology 2011-07-12 Shannon Kian Zareh , Michael C. DeSantis , Jonathan Kessler , Je-Luen Li , Y. M. Wang

Self-similar solutions of the coherent diffusion equation are derived and measured. The set of real similarity solutions is generalized by the introduction of a nonuniform phase surface, based on the elegant Gaussian modes of optical…

Quantum Physics · Physics 2015-05-19 O. Firstenberg , P. London , D. Yankelev , R. Pugatch , M. Shuker , N. Davidson

Molecular dynamics simulations are a powerful tool to study diffusion processes in battery electrolyte and electrode materials. From a single molecular dynamics simulation many properties relevant to diffusion can be obtained, including the…

Chemical Physics · Physics 2018-07-09 Niek J. J. de Klerk , Eveline van der Maas , Marnix Wagemaker

This paper describes the impedance spectroscopy adapted for analysis of small electrochemical changes in fluids. To increase accuracy of measurements the differential approach with temperature stabilization of fluid samples and electronics…

Instrumentation and Detectors · Physics 2016-07-26 S. Kernbach , I. Kuksin , O. Kernbach

The precision measurement of diffusion coefficient of solution is very important for the clear understanding of material transfer and interaction between the materials. But the high precision measurement of diffusion coefficient is very…

Instrumentation and Detectors · Physics 2017-09-07 Ju Dok-Yong , Jo Jong-Hyon , Kim Nam-Chol

Given the importance of continuous-time stochastic volatility models to describe the dynamics of interest rates, we propose a goodness-of-fit test for the parametric form of the drift and diffusion functions, based on a marked empirical…

Classical density functional theory (DFT) is a statistical mechanical theory for calculating the density profiles of the molecules in a liquid. It is widely used, for example. to calculate the density distribution of the molecules in the…

Statistical Mechanics · Physics 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

Time course measurement of single molecules on a cell surface provides detailed information on the dynamics of the molecules, which is otherwise inaccessible. To extract the quantitative information, single particle tracking (SPT) is…

Quantitative Methods · Quantitative Biology 2016-01-06 Shunsuke Teraguchi , Yutaro Kumagai

In this work we study the diffusion mechanisms in lithium disilicate melt using molecular dynamics simulation, which has an edge over other simulation methods because it can track down actual atomic rearrangements in materials once a…

Materials Science · Physics 2014-05-30 Luis G. V. Gonçalves , José P. Rino

The relative efficacy of electrochemical permeation (EP) and isothermal desorption spectroscopy (ITDS) methods for determining the hydrogen diffusivity is investigated using cold-rolled pure iron. The diffusivities determined from 13 first…

Chemical Physics · Physics 2022-10-05 A. Zafra , Z. Harris , E. Korec , E. Martínez-Pañeda

A variety of researchers have successfully obtained the parameters of low dimensional diffusion models using the data that comes out of atomistic simulations. This naturally raises a variety of questions about efficient estimation,…

Statistical Mechanics · Physics 2015-11-06 Christopher P. Calderon
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