Abstract
We develop a phenomenological model to describe the structure of radially symmetric paracrystals whose long-range order are destroyed by propagation of particle fluctuations. General expressions are derived for the spatial correlation functions in one-, two-, and three-dimensional spaces. And the spatial correlation in paracrystals in reciprocal space is further discussed and clarified. The developed method can be used to quantitatively analyze the microstructure of paracrystalline materials in both real and reciprocal spaces via scattering experiments and computer simulations.
| Original language | English |
|---|---|
| Article number | 032110 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 102 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2020 |
Bibliographical note
Publisher Copyright:© 2020 American Physical Society.
Funding
This research was supported by the Laboratory Directed Research and Development Program of Oak Ridge National Laboratory, managed by UT-Battelle, LLC, for the U.S. Department of Energy, and performed at SNS, which is DOE Office of Science User Facilities operated by the Oak Ridge National Laboratory. W.-R.C. and G.-R.H. were supported in part by the USANS at SNS. Y.W. acknowledges support by the U.S. Department of Energy (DOE), Office of Science, Office of Basic Energy Sciences, Early Career Research Program Award KC0402010, under Contract No. DE-AC05-00OR22725. G.-R.H. acknowledges the support from Ministry of Science and Technology in Taiwan under Grant No. MOST 108-2917-I-564-013. This work has been partially supported by UT-Battelle, LLC under Contract No. DE-AC05-00OR22725 with the U.S. Department of Energy. The United States Government retains and the publisher, by accepting the article for publication, acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes. The Department of Energy will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan [25]. This work has been partially supported by UT-Battelle, LLC under Contract No. DE-AC05-00OR22725 with the U.S. Department of Energy. The United States Government retains and the publisher, by accepting the article for publication, acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes. The Department of Energy will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan .
| Funders | Funder number |
|---|---|
| USANS | |
| UT-Battelle, LLC | |
| United States Government | |
| U.S. Department of Energy | |
| Office of Science | |
| Basic Energy Sciences | DE-AC05-00OR22725, KC0402010 |
| Oak Ridge National Laboratory | |
| UT-Battelle | |
| Ministry of Science and Technology, Taiwan | 108-2917-I-564-013 |