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A few decades earlier, Kirkaldy and Lane proposed an indirect method of estimating the tracer and intrinsic diffusion coefficients in a ternary system (without showing experimental verification), which is otherwise impossible following the…

Materials Science · Physics 2020-09-11 Neelamegan Esakkiraja , Anuj Dash , Avik Mondal , K. C. Hari Kumar , Aloke Paul

A pseudo ternary diffusion couple technique in a multicomponent system by simplifying the mathematical complications of Onsager formalism is proposed for the estimation of composition dependent values of the interdiffusion coefficients.…

Materials Science · Physics 2018-01-15 Neelamegan Esakkiraja , Aloke Paul

The earlier-suggested master equation approach is used to develop the consistent statistical theory of diffusion in alloys using the five-frequency model of FCC alloys as an example. Expressions for the Onsager coefficients in terms of…

Statistical Mechanics · Physics 2013-10-28 V. G. Vaks , A. Yu. Stroev , I. R. Pankratov , I. A. Zhuravlev

Vacancy is known to play a critical role in solid state diffusion and determine many properties of the materials. We report a proof-of-principle result on Mn in the role of tuning vacancy diffusion by an anomalous Friedel Oscillations…

Materials Science · Physics 2021-11-02 Shaosong Huanga , Huaqing Guan , Fuyang Tian , Chenyang Lu , Qiu Xu , Jijun Zhao

We study the shear-induced diffusion effect and the transition to irreversibility in suspensions under oscillatory shear flow by performing an analysis of the entropy production associated to the motion of the particles. We show that the…

Statistical Mechanics · Physics 2009-11-13 I. Santamaría Holek , G. Barrios del Valle , J. M. Rubi

We discuss Onsager's thermodynamic formalism for transport coefficients and apply it to the calculation of the shear modulus and shear viscosity of a monodisperse system of repulsive particles. We focus on the concept of extensive…

Statistical Mechanics · Physics 2017-04-12 Thomas Palmer , Thomas Speck

Governing equations for evolution of concentration and temperature in three-component systems were derived in the framework of classical irreversible thermodynamics using Onsager variational principle and were presented for…

Chemical Physics · Physics 2016-05-17 S. Shams Es-haghi , M. Cakmak

The problem of estimation of the tracer diffusion coefficients is solved by utilizing a novel tracer-interdiffusion couple technique even in the absence suitable radioisotope of one of the components and absence of reliable thermodynamic…

Excluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically…

Analysis of PDEs · Mathematics 2012-01-06 Maria Bruna , S. Jonathan Chapman

The global-in-time existence of bounded weak solutions to the Maxwell-Stefan-Fourier equations in Fick-Onsager form is proved. The model consists of the mass balance equations for the partial mass densities and and the energy balance…

Analysis of PDEs · Mathematics 2020-11-02 Christoph Helmer , Ansgar Jüngel

The interdiffusion coefficients are estimated either following the Wagner's method expressed with respect to the composition (mol or atomic fraction) normalized variable after considering the molar volume variation or the den Broeder's…

Applied Physics · Physics 2018-09-27 Varun A. Baheti , Aloke Paul

Manipulating point defects for tailored macroscopic properties remains a formidable challenge in materials science. This study demonstrates a proof-of-principle for a universal law involving element Mn, significantly enhancing vacancy…

A comprehensive experimental and physics informed neural network numerical inverse diffusion analysis is conducted in technologically important NiAlTi ternary and NiCoFeAlTi quinary solid solutions for estimating and extracting composition…

Materials Science · Physics 2025-11-20 Ismail Kamil Worke , Suman Sadhu , Saswata Bhattacharyya , Aloke Paul

Until recently, it was textbook knowledge that the diffusion coefficients could not be estimated in a multi-component system following the widely practised diffusion couple method. The recently proposed constrained diffusion couple methods…

Materials Science · Physics 2024-01-22 Suman Sadhu , Anindita Chakraborty , Surendra Makineni , Saswata Bhattacharyya , Aloke Paul

We re-examine the nature of the turbulent magnetic diffusivity tensor of mean field electrodynamics and show that an inconsistency arises if it is calculated via consideration of time-independent magnetic fields. Specifically, the predicted…

Solar and Stellar Astrophysics · Physics 2010-01-14 David W. Hughes , Michael R. E. Proctor

The diffusive motion of colloidal particles dispersed in a premelting solid is analyzed within the framework of irreversible thermodynamics. We determine the mass diffusion coefficient, thermal diffusion coefficient and Soret coefficient of…

Soft Condensed Matter · Physics 2009-11-13 S. S. L. Peppin , M. Spannuth , J. S. Wettlaufer

We examine the interdiffusion in multicomponent systems using the approach analogically to one developed earlier for description of interdiffusion in binary alloys. This approach in opposite to traditional theory, takes into consideration…

Materials Science · Physics 2019-05-10 A. V. Nazarov , D. A. Belobraga , A. P. Melnikov

Continuum fluid dynamic models based on the Navier-Stokes equations have previously been used to simulate granular media undergoing fluid-like shearing. These models, however, typically fail to predict the flow behaviour in confined…

Fluid Dynamics · Physics 2024-03-05 Duncan Dockar , M. H. Lakshminarayana Reddy , Matthew K. Borg , S. Kokou Dadzie

In this paper the problem of determination of the diffusion coefficients in a ternary multiphase system is discussed. In the literature there is a lack of data concerning the approximation method which allows to determine diffusion…

Materials Science · Physics 2020-11-19 Daria Serafin , Wojciech J. Nowak , Bartek Wierzba

The purpose of this work was to obtain diffusion coefficient for the magnetic angular momentum transport and material transport in a rotating solar model. We assumed that the transport of both angular momentum and chemical elements caused…

Astrophysics · Physics 2008-05-26 W. M. Yang , S. L. Bi
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