000			a
999			_c23128 _d23128
003			OSt
005			20250721100055.0
008			250721b xxu||||| |||| 00| 0 eng d
040			_aAIKTC-KRRC _cAIKTC-KRRC
100			_926784 _aBasu, Rahul
245			_aPerturbation solution of cahn-hilliard equations for spinodal transformations
250			_aVol.17(3), Aug
260			_aHyderabad _bIUP Publications _c2024
300			_a7-16p.
520			_aThe Cahn-Hilliard equation is a fundamental model in the study of phase separation and coarsening phenomena in binary mixtures. The paper investigates the perturbative solutions of the one-dimensional Cahn-Hilliard equation for small spatial and temporal variables. Starting with a uniform state, a small perturbation was introduced and first-order perturbation expansion was derived. Utilizing Fourier transforms, the linearized form of Cahn-Hilliard equation was solved to obtain the general solution. The dispersion relation revealed the growth rates of perturbation modes, providing insight into the early-time dynamics of phase separation. The analytical approach lays the groundwork for understanding the evolution of small perturbations and their impact on the phase separation process in binary systems. This work has potential applications in materials science, particularly in understanding the microstructural development of alloys and polymer blends.
650		0	_94626 _aMechanical Engineering
773	0		_tIUP journal of mechanical engineering _x0974-6536 _dHyderabad IUP Publications
856			_uhttps://iupindia.in/ViewArticleDetails.asp?ArticleID=1272 _yClick here
942			_2ddc _cAR