Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 1,287

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Rapid estimation of elastic constants by molecular dynamics simulation under constant stress

Shinoda, Wataru, Shiga, Motoyuki, Mikami, Masuhiro·2004·Physical Review B

Abstract

Molecular simulations, when they are used to understand properties characterizing the mechanical strength of solid materials, such as stress-strain relation or Born stability criterion, by using elastic constants, are sometimes seriously time consuming. In order to resolve this problem, we propose an efficient simulation approach under constant external stress and temperature, modifying Parrinello-Rahman (PR) method using useful sampling techniques developed recently---massive Nos\'e-Hoover chain method and hybrid Monte Carlo method. Test calculations on the Ni crystal employing the embedded atom method have shown that our method greatly improved the efficiency in sampling the elastic properties compared with the conventional PR method.

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 · 10.1103/physrevb.69.134103

Cites

1 of 1 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 1 references

Research works printed but not linked: 35

  1. T. Çaǧin, 1999, Phys. Rev. B, 59, 3468, 10.1103/PhysRevB.59.3468 · DOI
  2. G. Dereli, 1997, Philos. Mag. Lett., 75, 209, 10.1080/095008397179633 · DOI
  3. K.M. Aoki, 2003, J. Chem. Phys., 118, 9926, 10.1063/1.1571054 · DOI
  4. J.S. Tse, 1991, Phys. Rev. Lett., 67, 3559, 10.1103/PhysRevLett.67.3559 · DOI
  5. J.R. Ray, 1988, Comput. Phys. Rep., 8, 109, 10.1016/0167-7977(88)90009-3 · DOI
  6. M. Parrinello, 1981, J. Appl. Phys., 52, 7182, 10.1063/1.328693 · DOI · Paper page
  7. M. Parrinello, 1982, J. Chem. Phys., 76, 2662, 10.1063/1.443248 · DOI · Paper page
  8. J. Wang, 1993, Phys. Rev. Lett., 71, 4182, 10.1103/PhysRevLett.71.4182 · DOI
  9. J. Wang, 1995, Phys. Rev. B, 52, 12, 10.1103/PhysRevB.52.12 · DOI
  10. Z. Zhou, 1996, Phys. Rev. B, 54, 3841, 10.1103/PhysRevB.54.3841 · DOI
  11. J.R. Ray, 1984, J. Chem. Phys., 80, 4423, 10.1063/1.447221 · DOI
  12. M. Sprik, 1984, Phys. Rev. B, 29, 4368, 10.1103/PhysRevB.29.4368 · DOI
  13. G.J. Martyna, 1992, J. Chem. Phys., 97, 2635, 10.1063/1.463940 · DOI
  14. B. Mehlig, 1992, Phys. Rev. B, 45, 679, 10.1103/PhysRevB.45.679 · DOI · Paper page
  15. M.E. Tuckerman, 1999, Europhys. Lett., 45, 149, 10.1209/epl/i1999-00139-0 · DOI
  16. M.E. Tuckerman, 2001, J. Chem. Phys., 115, 1678, 10.1063/1.1378321 · DOI · Paper page
  17. G.J. Martyna, 1994, J. Chem. Phys., 101, 4177, 10.1063/1.467468 · DOI
  18. M. Tuckerman, 1992, J. Chem. Phys., 97, 1990, 10.1063/1.463137 · DOI
  19. G.J. Martyna, 1996, Mol. Phys., 87, 1117, 10.1080/00268979600100761 · DOI
  20. S. Nosé, 1984, Mol. Phys., 52, 255, 10.1080/00268978400101201 · DOI · Paper page
  21. S. Nosé, 1984, J. Chem. Phys., 81, 511, 10.1063/1.447334 · DOI · Paper page
  22. W.G. Hoover, 1985, Phys. Rev. A, 31, 1695, 10.1103/PhysRevA.31.1695 · DOI · Paper page
  23. M.S. Daw, 1983, Phys. Rev. Lett., 50, 1285, 10.1103/PhysRevLett.50.1285 · DOI · Paper page
  24. M.S. Daw, 1984, Phys. Rev. B, 29, 6443, 10.1103/PhysRevB.29.6443 · DOI
  25. J.E. Angelo, 1995, Modell. Simul. Mater. Sci. Eng., 3, 289, 10.1088/0965-0393/3/3/001 · DOI · Paper page
  26. M.I. Baskes, 1997, Modell. Simul. Mater. Sci. Eng., 651, 10.1088/0965-0393/5/6/007 · DOI
  27. S.M. Foiles, 1986, Phys. Rev. B, 33, 7983, 10.1103/PhysRevB.33.7983 · DOI · Paper page
  28. S.M. Foiles, 1987, J. Less-Common Met., 130, 465, 10.1016/0022-5088(87)90144-5 · DOI
  29. M. Karimi, 1997, Modell. Simul. Mater. Sci. Eng., 5, 337, 10.1088/0965-0393/5/4/003 · DOI
  30. T. Çaǧin, 1989, Phys. Rev. B, 39, 12
  31. P.J. Fay, 1992, Phys. Rev. A, 46, 4645, 10.1103/PhysRevA.46.4645 · DOI
  32. M. Karimi, 1998, Phys. Rev. B, 58, 6019, 10.1103/PhysRevB.58.6019 · DOI
  33. W. Zhong, 1992, Phys. Rev. B, 46, 8099, 10.1103/PhysRevB.46.8099 · DOI
  34. R.J. Wolf, 1992, Phys. Rev. B, 46, 8027, 10.1103/PhysRevB.46.8027 · DOI
  35. M. Shiga, 2003, Phys. Rev. B, 68, 245402, 10.1103/PhysRevB.68.245402 · DOI

Cited by

See all 1,287

Metadata

Authors
Shinoda, W., Shiga, M., & Mikami, M.
Venue
Physical Review B
Published
2004-04-07
Volume
69
Issue
13
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W2008602852
Cited by
1,287
References
1
FWCI
0.45
Type
journal article
Language
en
Open access
closed

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: Rapid estimation of elastic constants by molecular dynamics simulation under constant stress. https://app.cochat.ai/papers/10.1103/physrevb.69.134103
The paper
Shinoda, W., Shiga, M., & Mikami, M. (2004). Rapid estimation of elastic constants by molecular dynamics simulation under constant stress. Physical Review B. https://doi.org/10.1103/physrevb.69.134103

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.