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ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

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Spectral method study of domain coarsening.

David J Horntrop¹

¹Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA. horntrop@njit.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 16, 2007

Summary

Ostwald ripening, a particle self-organization process, was studied using a mesoscopic model. The late stages showed non-power law growth, differing from earlier stages, and revealed interaction effects on morphology.

Area of Science:

Physical Chemistry
Materials Science
Statistical Mechanics

Background:

Ostwald ripening describes particle self-organization in two-phase systems via diffusion.
Understanding late-stage Ostwald ripening is crucial for controlling material morphology and properties.

Purpose of the Study:

To investigate the late stage of Ostwald ripening using a mesoscopic model.
To analyze domain size evolution and the impact of interparticle interactions.

Main Methods:

Utilized a mesoscopic model represented by a stochastic partial integrodifferential equation.
Employed recently developed and benchmarked spectral schemes for numerical analysis.
Implemented a special configuration for direct measurement of system characteristics like domain size.

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Main Results:

Observed that the growing region size does not follow a power law in the late stages of self-organization.
Contrasted this non-power law growth with the power law growth seen in earlier stages.
Demonstrated the influence of adjusting interparticle interactions on the system's morphological evolution.

Conclusions:

The late stage of Ostwald ripening exhibits distinct growth dynamics compared to earlier stages.
Interparticle interactions play a significant role in shaping the morphological evolution of self-organizing systems.
The mesoscopic model provides a valuable tool for studying complex self-organization phenomena.