Skip to main content
SpringerLink
Log in

On the Identification of Distorted Solid-Like Clusters

  • CONDENSED MATTER
  • Published:
JETP Letters Aims and scope Submit manuscript

The modified rotational invariant method has been used to identify distorted solid-like clusters in disordered media. A new method is proposed to identify these clusters, including bcc crystallites, which can be hardly identified by standard methods. The feature of such clusters is the second shell consisting of six particles, which can be joined with the first shell under thermal distortion, which strongly complicates the identification of such crystallites. However, it has been shown in this work that this problem can be simply solved using second-order, q4 and q6, and third-order, w4 and w6, rotational invariants.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.

Similar content being viewed by others

REFERENCES

  1. A. Hirata, L. J. Kang, T. Fujita, B. Klumov, K. Matsue, M. Kotani, A. R. Yavari, and M. W. Chen, Science (Washington, DC, U. S.) 341, 376 (2013).

    Article  ADS  Google Scholar 

  2. Y. Yang, J. Zhou, F. Zhu, et al., Nature (London, U.K.) 592, 1 (2021).

    Article  Google Scholar 

  3. S. Plimpton, J. Comput. Phys. 117, 1 (1995).

    Article  ADS  Google Scholar 

  4. S. Hamaguchi, R. T. Farouki, and D. H. E. Dubin, J. Chem. Phys. 105, 7641 (1996).

    Article  ADS  Google Scholar 

  5. P. J. Steinhardt, D. Nelson, and M. Ronchetti, Phys. Rev. Lett. 47, 1297 (1981).

    Article  ADS  Google Scholar 

  6. P. J. Steinhardt, D. R. Nelson, and M. Ronchetti, Phys. Rev. B 28, 784 (1983).

    Article  ADS  Google Scholar 

  7. A. C. Mitus and A. Z. Patashinskii, Phys. Lett. A 87, 179 (1982).

    Article  ADS  Google Scholar 

  8. A. C. Mitus and A. Z. Patashinskii, Phys. Lett. A 88, 31 (1983).

    Article  ADS  Google Scholar 

  9. P. R. ten Wolde, R. J. Ruiz-Montero, and D. Frenkel, J. Chem. Phys. 104, 9932 (1996).

    Article  ADS  Google Scholar 

  10. J. R. Errington and P. G. Debenedetti, J. Chem. Phys. 118, 2256 (2003).

    Article  ADS  Google Scholar 

  11. B. A. Klumov, JETP Lett. 98, 259 (2013).

    Article  ADS  Google Scholar 

  12. S. Torquato, T. M. Truskett, and P. G. Debenedetti, Phys Rev. Lett. 84, 2064 (2000).

    Article  ADS  Google Scholar 

  13. Y. Jin and H. A. Makse, Phys. A (Amsterdam, Neth.) 98, 5362 (2010).

  14. B. A. Klumov, S. A. Khrapak, and G. E. Morfill, Phys. Rev. B 83, 184105 (2011).

  15. B. A. Klumov, Y. Jin, and H. A. Makse, J. Phys. Chem. B 118, 10761 (2014).

    Article  Google Scholar 

  16. A. Blaaderen and P. Wiltzius, Science (Washington, DC, U. S.) 270, 1177 (1995).

    Article  Google Scholar 

  17. U. Gasser, E. R. Weeks, A. Schofield, P. N. Pusey, and D. A. Weitz, Science (Washington, DC, U. S.) 292, 5515 (2001).

    Article  Google Scholar 

  18. O. A. Vasilyev, B. A. Klumov, and A. V. Tkachenko, Phys. Rev. E 88, 012302 (2013).

  19. G. E. Morfill, S. A. Khrapak, A. V. Ivlev, B. A. Klumov, M. Rubin-Zuzic, and H. M. Thomas, Phys. Scr. T 107, 59 (2004).

    Article  ADS  Google Scholar 

  20. G. E. Morfill, A. V. Ivlev, S. A. Khrapak, B. A. Klumov, M. Rubin-Zuzic, U. Konopka, and H. M. Thomas, Contrib. Plasma Phys. 44, 450 (2004).

    Article  ADS  Google Scholar 

  21. B. A. Klumov, Phys. Usp. 53, 1053 (2010).

    Article  ADS  Google Scholar 

  22. B. A. Klumov and G. Morfill, JETP Lett. 90, 444 (2009).

    Article  ADS  Google Scholar 

  23. D. I. Zhukhovitskii, V. N. Naumkin, A. I. Khusnulgatin, V. I. Molotkov, and A. M. Lipaev, J. Exp. Theor. Phys. 130, 616 (2020).

    Article  ADS  Google Scholar 

  24. V. V. Reshetnyak, O. B. Reshetnyak, and A. V. Filippov, J. Exp. Theor. Phys. 132, 277 (2021).

    Article  ADS  Google Scholar 

  25. A. Hirata, P. Guan, T. Fujita, Y. Hirotsu, A. Inoue, A. R. Yavari, T. Sakurai, and M. Chen, Nat. Mater. 10, 28 (2010).

    Article  ADS  Google Scholar 

  26. R. Xu, C. Chen, L. Wu, M. C. Scott, W. Theis, C. Ophus, M. Bartels, Y. Yang, H. Ramezani-Dakhel, M. R. Sawaya, H. Heinz, L. D. Marks, P. Ercius, and J. Miao, Nat. Mater. 14, 1099 (2015).

    Article  ADS  Google Scholar 

  27. Y. Yang, C. Chen, M. C. Scottet, et al., Nature (London, U.K.) 542, 75 (2017).

    Article  ADS  Google Scholar 

  28. R. E. Ryltsev, B. A. Klumov, N. M. Chtchelkatchev, and K. Yu. Shunyaev, J. Chem. Phys. 145, 034506 (2016).

  29. H. W. Sheng, W. K. Luo, F. M. Alamgir, J. M. Bai, and E. Ma, Nature (London, U.K.) 439, 419 (2006).

    Article  ADS  Google Scholar 

  30. A. Baule, F. Morone, H. J. Herrmann, and H. A. Makse, Rev. Mod. Phys. 90, 015006 (2018).

  31. M. Hanifpour, N. Francois, S. M. V. Allaei, T. Senden, and M. Saadatfar, Phys. Rev. Lett. 113, 148001 (2014).

  32. Yu. Fomin, V. N. Ryzhov, B. A. Klumov, and E. N. Tsiok, J. Chem. Phys. 141, 034508 (2014).

  33. R. M. Khusnutdinoff and A. V. Mokshin, JETP Lett. 110, 557 (2019).

    Article  ADS  Google Scholar 

  34. R. Ryltsev, B. Klumov, and N. Chtchelkatchev, Soft Matter 11, 6991 (2015).

    Article  ADS  Google Scholar 

  35. W. Mickel, S. C. Kapfer, G. E. Schroder-Turk, and K. Mecke, J. Chem. Phys. 138, 044501 (2013).

  36. G. I. Voronoi, Reine Angew. Math. 134, 198 (1908).

    Article  MathSciNet  Google Scholar 

  37. B. A. Klumov, R. E. Ryltsev, and N. M. Chtchelkatchev, J. Chem. Phys. 149, 134501 (2018).

  38. R. E. Ryltsev, B. A. Klumov, N. M. Chtchelkatchev, and K. Yu. Shunyaev, J. Chem. Phys. 149, 164502 (2018).

  39. B. A. Klumov, R. E. Ryltsev, and N. M. Chtchelkatchev, JETP Lett. 104, 546 (2016).

    Article  ADS  Google Scholar 

Download references

Funding

This work was supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2020-785 on September 23, 2020, with the Joint Institute for High Temperatures, Russian Academy of Sciences).

Author information

Authors and Affiliations

  1. Joint Institute for High Temperatures, Russian Academy of Sciences, 125412, Moscow, Russia

    B. A. Klumov

Authors
  1. B. A. Klumov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. A. Klumov.

Additional information

Translated by R. Tyapaev

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Klumov, B.A. On the Identification of Distorted Solid-Like Clusters. Jetp Lett. 114, 406–411 (2021). https://doi.org/10.1134/S0021364021190085

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364021190085

Search

Navigation