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The IUP Journal of Mechanical Engineering

Estimation of the Effect of Spinodal Decomposition in Thin Films

Article Details

Pub. Date	: Nov, 2023
Product Name	: The IUP Journal of Marketing Management
Product Type	: Article
Product Code	: IJMM031123
Author Name	: Rahul Basu
Availability	: YES
Subject/Domain	: Marketing
Download Format	: PDF Format
No. of Pages	: 18

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Abstract

The paper illustrates the effect of additional terms in diffusion equations, particularly spinodal equations. The spinodal mechanism is described by secondorder diffusion with additional terms of 4th order coupled with a constant. Solutions are seldom found in a simple manner. These materials can yield nanostructures and alloys with advanced properties. In this study, a perturbation for small values of x and t was applied. Similarity variables with x and t are employed along with the separation of variable solutions that can produce an exact series solution. The results illustrate how growth proceeds and the effect of material parameters on growth, along with the important combinations of physical properties. The solutions vary depending on the transcendental equations for the moving boundaries. The rate dependencies changed from the square root of t to the 4th root of t at the small-parameter level. For example, a Cu-Ni alloy has been simulated. This study is primarily hypothetical, and focuses on the analysis of mathematical models. Important findings have recently appeared, showing the applicability of these transformations in the design of energy-storage cells, solar energy, nanocomposites, and other areas.

Introduction

Traditional wisdom concerning phase nucleation states that heterogeneous or homogeneous nucleation depends on the critical growth size. Growth depends on the balance between free energy and surface tension. The diffusion and moving interface balances were neglected. The alternative mechanism involves the 'spinodal decomposition', where the transformation occurs throughout the original solution, relying on an inflection in the free-energy curves. This requires a miscibility region, in which a range of solubilities occurs.

The equations describing the process are diffusion equations modified by a coupled 4th order term, which is a double Laplacian. Normally, such term is of smaller order; however, under certain parameter combinations, it can dominate. However, no equation dictates the presence of two or more components.