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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…

材料科学 · 物理学 2020-09-11 Neelamegan Esakkiraja , Anuj Dash , Avik Mondal , K. C. Hari Kumar , Aloke Paul

Interdiffusion studies become increasingly difficult to perform with the increasing number of elements in a system. It is rather easy to calculate the interdiffusion coefficients for all the compositions in the interdiffusion zone in a…

材料科学 · 物理学 2016-06-29 Aloke Paul

Major drawback of studying diffusion in multi-component systems is the lack of suitable techniques to estimate the diffusion parameters. In this study, a generalized treatment to determine the intrinsic diffusion coefficients in…

材料科学 · 物理学 2022-08-23 Sangeeta Santra , Aloke Paul

Diffusion couple technique is an efficient tool for the estimating the chemical diffusion coefficients. Typical experimental uncertainties of the composition profile measurements complicate a correct determination of the interdiffusion…

材料科学 · 物理学 2017-07-25 Bengü Tas Kavakbasi , Igor S. Golovin , Aloke Paul , Sergiy V. Divinski

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…

Estimating the diffusion coefficients experimentally in a four-component inhomogeneous alloy following the conventional diffusion couple method by intersecting three couples at the same composition is difficult unless a small composition…

材料科学 · 物理学 2020-05-19 Anuj Dash , Neelamegan Esakkiraja , Aloke Paul

The estimation of (n-1)2 interdiffusion coefficients in an n component system requires (n-1) diffusion paths to intersect or pass closely in the (n-1) dimensional space according to the body diagonal diffusion couple method. These…

材料科学 · 物理学 2022-05-16 Anuj Dash , Aloke Paul

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…

材料科学 · 物理学 2020-11-19 Daria Serafin , Wojciech J. Nowak , Bartek Wierzba

Estimating composition dependent diffusion coefficients in multicomponent alloys was a longstanding challenge due to limitations in experimental methods. In this study, we have first demonstrated a strategic design of producing only three…

材料科学 · 物理学 2025-06-17 Suman Sadhu , Saswata Bhattacharyya , Aloke Paul

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…

应用物理 · 物理学 2018-09-27 Varun A. Baheti , Aloke Paul

The correlation between intrinsic and tracer diffusion coefficients considering the molar volume of the diffusing elements and cross phenomenological constants of Onsager contributing to the vacancy wind effect in ternary and multicomponent…

材料科学 · 物理学 2025-02-05 Aloke Paul

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…

材料科学 · 物理学 2025-11-20 Ismail Kamil Worke , Suman Sadhu , Saswata Bhattacharyya , Aloke Paul

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…

材料科学 · 物理学 2019-05-10 A. V. Nazarov , D. A. Belobraga , A. P. Melnikov

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…

化学物理 · 物理学 2016-05-17 S. Shams Es-haghi , M. Cakmak

Ordinary differential equations (ODEs) are widely used to describe dynamical systems in science, but identifying parameters that explain experimental measurements is challenging. In particular, although ODEs are differentiable and would…

Cross-diffusion systems arise as hydrodynamic limits of lattice multi-species interacting particle models. The objective of this work is to provide a numerical scheme for the simulation of the cross-diffusion system identified in [J.…

数值分析 · 数学 2023-09-06 Jad Dabaghi , Virginie Ehrlacher , Christoph Strössner

Polydisperse systems are commonly encountered when dealing with soft matter in general or any non simple fluid. Yet their treatment within the framework of statistical thermodynamics is a delicate task as the latter has been essentially…

统计力学 · 物理学 2015-06-22 Fabien Paillusson , Ignacio Pagonabarraga

A cross-diffusion system for two compoments with a Laplacian structure is analyzed on the multi-dimensional torus. This system, which was recently suggested by P.-L. Lions, is formally derived from a Fokker-Planck equation for the…

偏微分方程分析 · 数学 2017-03-08 Ansgar Jüngel , Nicola Zamponi

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…

Diffusion in ternary, multiphase systems was studied theoretically and experimentally in Ni-Cr-Al system at 1200C. The samples were prepared by the multiple method. It has been shown that the method allows obtaining good quality, planar,…

材料科学 · 物理学 2018-05-08 Marek Zajsuz
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