Antiphase domain growth: Correlation functions and structure factors in the scaling regime Article Swipe
Ulrike Zweck
,
Michael Leitner
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.104.094101
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.104.094101
We study the coarsening of three-dimensional antiphase domain structures via Monte Carlo simulations. Linear lattice dimensions of $N=1024$ enable us to reach a scaling regime covering about 2.5 orders of magnitude of linear scale. With short-range interactions on cubic lattices at temperatures of $0.75\phantom{\rule{0.16em}{0ex}}{T}_{\text{c}}$, the resulting antiphase domain structures are isotropic, which allows us to describe the real-space correlation functions by a common function scaled by a time-dependent parameter. We compare abstract Potts models and realistic models of atomic order in compounds and show that those with same ground-state degeneracy $q$ lead to equivalent antiphase domain structures, while the scaling functions for different $q$ show slight but significant deviations. Finally, we quantitatively discuss notions of real-space scale (specific interface area) and reciprocal-space scale (superstructure peak width) and thus give numerically exact values for the corresponding parameter $K$ of the Scherrer equation.
Related Topics
Concepts
Scaling
Physics
Lattice (music)
Isotropy
Statistical physics
Reciprocal lattice
Correlation function (quantum field theory)
Potts model
Domain (mathematical analysis)
Square lattice
Superstructure
Condensed matter physics
Parameter space
Linear scale
Space (punctuation)
Degeneracy (biology)
Quantum mechanics
Mathematical analysis
Mathematics
Geometry
Ising model
Thermodynamics
Biology
Geodesy
Acoustics
Geography
Linguistics
Philosophy
Diffraction
Dielectric
Bioinformatics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevb.104.094101
- OA Status
- hybrid
- Cited By
- 2
- References
- 61
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3197790281
All OpenAlex metadata
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https://openalex.org/W3197790281Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physrevb.104.094101Digital Object Identifier
- Title
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Antiphase domain growth: Correlation functions and structure factors in the scaling regimeWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-09-02Full publication date if available
- Authors
-
Ulrike Zweck, Michael LeitnerList of authors in order
- Landing page
-
https://doi.org/10.1103/physrevb.104.094101Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1103/physrevb.104.094101Direct OA link when available
- Concepts
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Scaling, Physics, Lattice (music), Isotropy, Statistical physics, Reciprocal lattice, Correlation function (quantum field theory), Potts model, Domain (mathematical analysis), Square lattice, Superstructure, Condensed matter physics, Parameter space, Linear scale, Space (punctuation), Degeneracy (biology), Quantum mechanics, Mathematical analysis, Mathematics, Geometry, Ising model, Thermodynamics, Biology, Geodesy, Acoustics, Geography, Linguistics, Philosophy, Diffraction, Dielectric, BioinformaticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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2Total citation count in OpenAlex
- Citations by year (recent)
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2023: 1, 2022: 1Per-year citation counts (last 5 years)
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61Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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