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An extensive diffusion analysis is presented for binary Ni-X and ternary Ni-Al-X (X = Cr, Mo, Ta, W, Re) systems, which play a crucial role in microstructural evolution and phase stability in Ni-Al-based superalloys. Specifically, we…

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

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 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,…

Materials Science · Physics 2018-05-08 Marek Zajsuz

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

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 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

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…

Materials Science · Physics 2022-08-23 Sangeeta Santra , 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

A method is proposed for the calculation of diffusion constants for one-dimensional maps exhibiting deterministic diffusion. The procedure is based on harmonic inversion and uses a known relation between the diffusion constant and the…

Chaotic Dynamics · Physics 2009-11-07 K. Weibert , J. Main , G. Wunner

The experimental data in the literature for the hcp phase of the Mg-Al-Zn ternary system have been critically reviewed. Based on the concentration profiles from the literature, the diffusion coefficients have been re-extracted using the…

Materials Science · Physics 2016-08-09 J. Wang , N. Li , C. Wang , J. I. Beltran , J. LLorca , Y. Cui

The bulk nuclear matter produced in heavy ion collisions carries a multitude of conserved quantum numbers: electric charge, baryon number, and strangeness. Therefore, the diffusion processes associated to these conserved charges cannot…

High Energy Physics - Phenomenology · Physics 2020-04-15 Jan A. Fotakis , Moritz Greif , Gabriel Denicol , Harri Niemi , Carsten Greiner

A method for estimating the relative content of crystalline phases of a multiphase sample, based on probabilistic analysis of the intensities of the diffraction pattern reflexes, has been developed. The method is based on the introduction…

Materials Science · Physics 2023-11-21 S. V. Gabielkov , I. V. Zhyganiuk , A. D. Skorbun

Bulk matter produced in heavy ion collisions has multiple conserved quantum numbers like baryon number, strangeness and electric charge. The diffusion process of these charges can be described by a diffusion matrix describing the…

Nuclear Theory · Physics 2022-08-31 Arpan Das , Hiranmaya Mishra , Ranjita K. Mohapatra

Predicting diffusion coefficients in mixtures is crucial for many applications, as experimental data remain scarce, and machine learning (ML) offers promising alternatives to established semi-empirical models. Among ML models, matrix…

Machine Learning · Computer Science 2026-02-27 Zeno Romero , Kerstin Münnemann , Hans Hasse , Fabian Jirasek

In recent years, kinetic equations have been used to model many social phenomena. A key feature of these models is that transition rate kernels involve Dirac delta functions, which capture sudden, discontinuous state changes. Here, we study…

Numerical Analysis · Mathematics 2025-12-12 Yassin Bahid , Eduardo Corona , Nancy Rodriguez

Ionic conductivity is a critical property of solid ionic conductors, directly influencing the performance of energy storage devices such as batteries. However, accurately calculating ionic conductivity or diffusion coefficient remains…

Materials Science · Physics 2025-03-07 Yuxiang Gao , Xiaodong Cao , Zhicheng Zhong

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

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
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