Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 663

The DOI matches its Crossref record; 52 of the 52 references it cites were found in a registry or an index.

Anharmonic force constants extracted from first-principles molecular dynamics: applications to heat transfer simulations

Open access
Tadano, T, Gohda, Y, Tsuneyuki, S·2014·Journal of Physics: Condensed Matter

Abstract

A systematic method to calculate anharmonic force constants of crystals is presented. The method employs the direct-method approach, where anharmonic force constants are extracted from the trajectory of first-principles molecular dynamics simulations at high temperature. The method is applied to Si where accurate cubic and quartic force constants are obtained. We observe that higher-order correction is crucial to obtain accurate force constants from the trajectory with large atomic displacements. The calculated harmonic and anharmonic force constants are, then, combined with the Boltzmann transport equation (BTE) and non-equilibrium molecular dynamics (NEMD) methods in calculating the thermal conductivity. The BTE approach successfully predicts the lattice thermal conductivity of bulk Si, whereas NEMD shows considerable underestimates. To evaluate the linear extrapolation method employed in NEMD to estimate bulk values, we analyze the size dependence in NEMD based on BTE calculations. We observe strong nonlinearity in the size dependence of NEMD in Si, which can be ascribed to acoustic phonons having long mean-free-paths and carrying considerable heat. Subsequently, we also apply the whole method to a thermoelectric material Mg2Si and demonstrate the reliability of the NEMD method for systems with low thermal conductivities.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1088/0953-8984/26/22/225402

Cites

52 of 52 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 52 references

Research works printed but not linked: 4

  1. 10.1103/PhysRevLett.104.208501 · doi:10.1103/physrevlett.104.208501
  2. 10.1103/PhysRevB.77.125209 · doi:10.1103/physrevb.77.125209
  3. 10.1103/PhysRevB.50.13347 · doi:10.1103/physrevb.50.13347
  4. 10.1016/S0022-3697(72)80273-7 · doi:10.1016/s0022-3697(72)80273-7

Cited by

See all 663

Metadata

Authors
Tadano, T., Gohda, Y., & Tsuneyuki, S.
Venue
Journal of Physics: Condensed Matter
Published
2014-05-14
Volume
26
Issue
22
Pages
225402
ISSN
  • 0953-8984 (ISSN-L)
  • 1361-648X
OpenAlex
W2075833840
Cited by
663
References
52
FWCI
5.51
Type
journal article
Language
en
Open access
bronze
Licence

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Anharmonic force constants extracted from first-principles molecular dynamics: applications to heat transfer simulations. https://app.cochat.ai/papers/10.1088/0953-8984/26/22/225402
The paper
Tadano, T., Gohda, Y., & Tsuneyuki, S. (2014). Anharmonic force constants extracted from first-principles molecular dynamics: applications to heat transfer simulations. Journal of Physics: Condensed Matter. https://doi.org/10.1088/0953-8984/26/22/225402

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.