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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…

Materials Science · Physics 2016-06-29 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

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

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…

Materials Science · Physics 2017-07-25 Bengü Tas Kavakbasi , Igor S. Golovin , Aloke Paul , Sergiy V. Divinski

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…

Materials Science · Physics 2020-05-19 Anuj Dash , Neelamegan Esakkiraja , Aloke Paul

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

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…

Materials Science · Physics 2022-05-16 Anuj Dash , 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…

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

The diffusion coefficient of a circular shaped inclusion in a liquid membrane is investigated by taking into account the interaction between membranes and bulk solvents of arbitrary thickness. As illustrative examples, the diffusion…

Soft Condensed Matter · Physics 2015-05-28 Kazuhiko Seki , Sanoop Ramachandran , Shigeyuki Komura

The problem of diffusion in a porous medium with a spatially varying porosity is considered. The particular microstructure analyzed comprises a collection of impenetrable spheres, though the methods developed are general. Two different…

Fluid Dynamics · Physics 2017-10-12 Maria Bruna , S. Jonathan Chapman

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

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

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…

Materials Science · Physics 2025-06-17 Suman Sadhu , Saswata Bhattacharyya , 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…

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

We present a microfluidic method leading to accurate measurements of the mutual diffusion coefficient of a liquid binary mixture over the whole solute concentration range in a single experiment. This method fully exploits solvent…

Soft Condensed Matter · Physics 2017-09-21 Anne Bouchaudy , Charles Loussert , Jean-Baptiste Salmon

Particle diffusion in rotating drums is studied via computer simulations using a full 3-D model which does not involve any arbitrary input parameters. The diffusion coefficient for single-component systems agree qualitatively with previous…

Condensed Matter · Physics 2009-10-28 G. A. Kohring

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

Social and Information Networks · Computer Science 2016-05-12 Shohreh Shaghaghian , Mark Coates

We consider the inverse problem of determining different type of information about a diffusion process, described by ordinary or fractional diffusion equations stated on a bounded domain, like the density of the medium or the velocity field…

Analysis of PDEs · Mathematics 2019-07-05 Yavar Kian , Zhiyuan Li , Yikan Liu , Masahiro Yamamoto

We present a new modeling scheme for ion self-diffusion coefficient, which broadens the applicable scope of ab initio approach. The essential concepts of the scheme are `domain division' and `coarse graining' of the diffusion network based…

Materials Science · Physics 2020-08-25 Tom Ichibha , Genki Prayogo , Kenta Hongo , Ryo Maezono

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
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