Multiple scaling power in liquid gallium under pressure conditions
Abstract
Generally, a single scaling exponent, Df, can characterize the fractal structures of metallic glasses according to the scaling power law. However, when the scaling power law is applied to liquid gallium upon compression, the results show multiple scaling exponents and the values are beyond 3 within the first four coordination spheres in real space, indicating that the power law fails to describe the fractal feature in liquid gallium. The increase in the first coordination number with pressure leads to the fact that first coordination spheres at different pressures are not similar to each other in a geometrical sense. This multiple scaling power behavior is confined within a correlation length of ξ ≈ 14–15 Å at applied pressure according to decay of G(r) in liquid gallium. Beyond this length the liquid gallium system could roughly be viewed as homogeneous, as indicated by the scaling exponent, Ds, which is close to 3 beyond the first four coordination spheres.
- Authors:
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- National Science Foundation (NSF) - Directorate for Geosciences Division of Earth Sciences (GEO/EAR); USDOE Office of Science - Office of Basic Energy Sciences - Chemical Sciences, Geosciences, and Biosciences Division; National Natural Science Foundation of China (NNSFC); USDOE Office of Science - Office of Basic Energy Sciences - Scientific User Facilities Division
- OSTI Identifier:
- 1393202
- DOE Contract Number:
- AC02-06CH11357
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 22; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Li, Renfeng, Wang, Luhong, Li, Liangliang, Yu, Tony, Zhao, Haiyan, Chapman, Karena W., Rivers, Mark L., Chupas, Peter J., Mao, Ho-kwang, and Liu, Haozhe. Multiple scaling power in liquid gallium under pressure conditions. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.224204.
Li, Renfeng, Wang, Luhong, Li, Liangliang, Yu, Tony, Zhao, Haiyan, Chapman, Karena W., Rivers, Mark L., Chupas, Peter J., Mao, Ho-kwang, & Liu, Haozhe. Multiple scaling power in liquid gallium under pressure conditions. United States. doi:10.1103/PhysRevB.95.224204.
Li, Renfeng, Wang, Luhong, Li, Liangliang, Yu, Tony, Zhao, Haiyan, Chapman, Karena W., Rivers, Mark L., Chupas, Peter J., Mao, Ho-kwang, and Liu, Haozhe. Thu .
"Multiple scaling power in liquid gallium under pressure conditions". United States. doi:10.1103/PhysRevB.95.224204.
@article{osti_1393202,
title = {Multiple scaling power in liquid gallium under pressure conditions},
author = {Li, Renfeng and Wang, Luhong and Li, Liangliang and Yu, Tony and Zhao, Haiyan and Chapman, Karena W. and Rivers, Mark L. and Chupas, Peter J. and Mao, Ho-kwang and Liu, Haozhe},
abstractNote = {Generally, a single scaling exponent, Df, can characterize the fractal structures of metallic glasses according to the scaling power law. However, when the scaling power law is applied to liquid gallium upon compression, the results show multiple scaling exponents and the values are beyond 3 within the first four coordination spheres in real space, indicating that the power law fails to describe the fractal feature in liquid gallium. The increase in the first coordination number with pressure leads to the fact that first coordination spheres at different pressures are not similar to each other in a geometrical sense. This multiple scaling power behavior is confined within a correlation length of ξ ≈ 14–15 Å at applied pressure according to decay of G(r) in liquid gallium. Beyond this length the liquid gallium system could roughly be viewed as homogeneous, as indicated by the scaling exponent, Ds, which is close to 3 beyond the first four coordination spheres.},
doi = {10.1103/PhysRevB.95.224204},
journal = {Physical Review B},
issn = {2469-9950},
number = 22,
volume = 95,
place = {United States},
year = {2017},
month = {6}
}
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