Studying nonlinear effects on the early stage of phase ordering using a decomposition method
نویسندگان
چکیده
Nonlinear effects on the early stage of phase ordering are studied using Adomian's decomposition method for the Ginzburg-Landau equation for a nonconserved order parameter. While the long-time regime and the linear behavior at short times of the theory are well understood, the onset of nonlinearities at short times and the breaking of the linear theory at different length scales are less understood. In the Adomians decomposition method, the solution is systematically calculated in the form of a polynomial expansion for the order parameter, with a time dependence given as a series expansion. The method is very accurate for short times, which allows to incorporate the short-time dynamics of the nonlinear terms in a analytical and controllable way.
منابع مشابه
The Transient Dynamics of a Beam Mounted on Spring Supports and Equipped with the Nonlinear Energy Sink
The transient dynamics of a beam mounted on springer-damper support and equipped with a nonlinear energy sink (NES) is investigated under the effects of shock loads. The equations of motion are derived using the Hamilton’s principle leading to four hybrid ordinary and partial differential equations and descritized using the Galerkin method. An adaptive Newmark method is employed for accurate an...
متن کاملPhase Tuning in Synchronization of Nonlinear Master-slave Oscillating Systems Using Decomposition Method
متن کامل
Disguised Face Recognition by Using Local Phase Quantization and Singular Value Decomposition
Disguised face recognition is a major challenge in the field of face recognition which has been taken less attention. Therefore, in this paper a disguised face recognition algorithm based on Local Phase Quantization (LPQ) method and Singular Value Decomposition (SVD) is presented which deals with two main challenges. The first challenge is when an individual intentionally alters the appearance ...
متن کاملA T.E.M INVESTIGATION OF THE MECHANISM OF EARLY STAGE ORDERING IN THE INTERMETTALIC COMPOUND PT2FECU
Abstract: The microstructural features of the early stage of ordering of the intermetallic compound Pt2FeCu have been examined using optical and transmission electron microscopy in conjunction with X-ray diffraction technique. It was found that the compound has similar morphological alteration to that of FePt in which the ordering cannot be suppressed by rapid quenching. The early stage of ...
متن کاملNonlinear and Non-stationary Vibration Analysis for Mechanical Fault Detection by Using EMD-FFT Method
The Hilbert-Huang transform (HHT) is a powerful method for nonlinear and non-stationary vibrations analysis. This approach consists of two basic parts of empirical mode decomposition (EMD) and Hilbert spectral analysis (HSA). To achieve the reliable results, Bedrosian and Nuttall theorems should be satisfied. Otherwise, the phase and amplitude functions are mixed together and consequently, the ...
متن کامل