Skip to main content
SpringerLink
Log in

Effect of temperature on the complexity of solid Argon system

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

We study the measure of complexity in solid Argon system from the time series data of kinetic energy of single Argon atoms at different equilibrated temperatures. To account the inherent multi-scale dependence of the complexity, the multi-scale entropy of the time series of kinetic energy of individual Argon atoms are computed at different equilibrated temperatures. The multi-scale entropy study reveals that the dynamics of an atom becomes more complex at higher temperatures and the result corroborates well with the variation of the pair correlation function of the atoms in the solid Argon crystal. Also, we repeat the multi-scale entropy analysis for synthetically generated Levy noise time series and for time series data obtained from the outcomes of exponential decay with noise \(\,d x(t)=-x(t)\,dt+\sigma \,dB(t)\) (Langevin equation). Our study establishes that the scale dependence of sample entropy for time series of kinetic energy of individual atoms in solid Argon system has similar tendency as that of Levy noise time series and the outcomes of exponential decay with noise (Langevin equation).

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
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. F Takens Detecting Strange Attractors in Turbulence Dynamical Systems and Turbulence, Lecture Notes in Mathematics: Proceedings of a Symposium held at the University of Warwick 1979/80 898 (Berlin: Springer) p 366 (1981)

  2. M Costa, A L Goldberger and C-K Peng Phys. Rev. Lett. 89 068102 (2002)

    Article  ADS  Google Scholar 

  3. M Costa, A L Goldberger and C-K Peng Phys. Rev. E 71 021906 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  4. M Costa, A L Goldberger and C-K Peng Phys. A 330 53 (2003)

    Article  Google Scholar 

  5. M Costa, C-K Peng and A L Goldberger Cardiovasc. Eng. 8 88 (2008)

    Article  Google Scholar 

  6. M Costa et al. Europhys. Lett. 77 68008 (2007)

    Article  ADS  Google Scholar 

  7. M Costa, I Ghiran, C-K Peng, A Nicholson-Weller and A L Goldberger Phys. Rev. E 78 020901 (2008)(R)

    Article  ADS  Google Scholar 

  8. H G Kang et al. J. Gerontol. A Biol. Sci. Med. Sci. 64A 1304 (2009)

    Article  Google Scholar 

  9. B Manor et al. J. Appl. Physiol. 109 1786 (2010)

    Article  Google Scholar 

  10. S J-J Leistedt et al. Transl. Psychiatry 1 e27 (2011)

    Article  Google Scholar 

  11. P Debye Ann. Phys. (Leipzig) 39 (1912)

    Article  ADS  Google Scholar 

  12. http://micro.stanford.edu

  13. S M Pincus Proc. Natl. Acad. Sci. 88 2297 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  14. A N Kolmogorov Dokl. Russ. Acad. Sci. 119 861 (1958)

    MathSciNet  Google Scholar 

  15. Y G Sinai Dokl. Russ. Acad. Sci. 124 768 (1959)

    MathSciNet  Google Scholar 

  16. V I Oseledets Trans. Moscow Math. Soc. 19 197 (1968)

    Google Scholar 

  17. S M Pincus Chaos 5 110 (1995)

    Article  ADS  Google Scholar 

  18. S M Pincus Proc. Natl. Acad. Sci. 89 4432 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  19. L A Fleisher, S M Pincus and S H Rosenbaum Anesthesiology 78 683 (1993)

    Article  Google Scholar 

  20. D T Kaplan, M I Furman, S M Pincus, S M Ryan, L A Lipsitz and A L Goldberger Biophys. J. 59 945 (1991)

    Article  ADS  Google Scholar 

  21. S M Pincus, T R Cummins and G G Haddad Am. J. Physiol. Regul. Integr. Comp. Physiol. 264 R638 (1993)

    Google Scholar 

  22. S M Pincus, I M Gladstone and R A Ehrenkranz J. Clin. Monit. 7 335 (1991)

    Article  Google Scholar 

  23. S M Pincus and R R Viscarello Obstet. Gynecol. 79 249 (1992)

    Google Scholar 

  24. M L Hartman et al. J. Clin.Invest. 94 1277 (1994)

    Article  Google Scholar 

  25. J P Eckmann and D Ruelle Rev. Mod. Phys. 57 617 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  26. A Ben-Mizrachi, I Procaccia and P Grassberger Phys. Rev. A 29A 975 (1984)

    Article  ADS  Google Scholar 

  27. P Grassberger Phys. Lett. A 128 369 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  28. P Grassberger and I Procaccia Phys. Rev. A 28 2591 (1983)

    Article  ADS  Google Scholar 

  29. P Grassberger, T Schreiber and C Schaffrath Int. J. Bifurcat. Chaos 1 547 (1991)

    Article  MathSciNet  Google Scholar 

  30. J S Richmann and J R Moorman Am. J. Physiol. 278 H2039 (2000)

    Google Scholar 

  31. Y-C Zhang J. Phys. I 1 971 (1991)

    Google Scholar 

  32. A Sarkar and P Barat Mod. Phys. Lett. B 20 1075 (2006)

    Article  ADS  Google Scholar 

  33. A Sarkar, P Barat and P Mukherjee Fractals 18 319 (2010)

    Article  Google Scholar 

  34. J E Lennard-Jones Proc. R. Soc. Lond. A 106 463 (1924)

    Article  ADS  Google Scholar 

  35. P Barat, A Giri, M Bhattacharya, N K Das and A Dutta Europhys. Lett. 104 50003 (2013)

    Article  ADS  Google Scholar 

  36. G W Ford and M Kac J. Stat. Phys. 46 803 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  37. A O Caldeira and A J Leggett Phys. Rev. Lett. 46 211 (1981)

    Article  ADS  Google Scholar 

  38. A O Caldeira and A J Leggett Ann. Phys. 149 374 (1983)

    Article  ADS  Google Scholar 

  39. H Hasegawa Phys. Rev. E 83 021104 (2011)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata, West Bangal, 700064, India

    A Giri, S Dey & P Barat

Authors
  1. A Giri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S Dey
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P Barat
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A Giri.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Giri, A., Dey, S. & Barat, P. Effect of temperature on the complexity of solid Argon system. Indian J Phys 90, 725–732 (2016). https://doi.org/10.1007/s12648-015-0803-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-015-0803-8

Keywords

PACS Nos

Search

Navigation