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Application of progressive nucleation mechanism for the citation behavior of individual papers of different authors

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  • Keshra Sangwal

    (Lublin University of Technology)

Abstract

The basic concepts and equations of the progressive nucleation mechanism (PNM) are presented first for the growth and decay of items. The mechanism is then applied to describe the cumulative citations L and citations ΔL per year of the individual most-cited papers i of four selected Polish professors as a function of citation duration t. It was found that the PNM satisfactorily describes the time dependence of cumulative citations L of the papers published by different authors with sufficiently high citations ΔL, as represented by the highest yearly citations ΔL max during the entire citation period t (normal citation behavior). The citation period for these papers is less than 15 years and it is even 6–8 years in several cases. However, for papers with citation periods exceeding about 15 years, the growth behavior of citations does not follow the PNM in the entire citation period (anomalous citation behavior), and there are regions of citations in which the citation data may be described by the PNM. Normal and anomalous citation behaviors are attributed, respectively, to the occurrence and nonoccurrence of stationary nucleation of citations for the papers. The PNM also explains the growth and decay of citations ΔL per year of papers exhibiting normal citation behavior.

Suggested Citation

  • Keshra Sangwal, 2012. "Application of progressive nucleation mechanism for the citation behavior of individual papers of different authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 92(3), pages 643-655, September.
    • Handle: RePEc:spr:scient:v:92:y:2012:i:3:d:10.1007_s11192-011-0564-x
    DOI: 10.1007/s11192-011-0564-x
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    References listed on IDEAS

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    1. Keshra Sangwal, 2012. "Progressive nucleation mechanism for the growth behavior of items and its application to cumulative papers and citations of individual authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 92(3), pages 575-591, September.
    2. Aurel Avramescu, 1979. "Actuality and Obsolescence of Scientific Literature," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 30(5), pages 296-303, September.
    3. D. Gnana Bharathi, 2011. "Methodology for the evaluation of scientific journals: Aggregated Citations of Cited Articles," Scientometrics, Springer;Akadémiai Kiadó, vol. 86(3), pages 563-574, March.
    4. Sangwal, Keshra, 2011. "Progressive nucleation mechanism and its application to the growth of journals, articles and authors in scientific fields," Journal of Informetrics, Elsevier, vol. 5(4), pages 529-536.
    5. Sangwal, K., 2011. "On the growth of citations of publication output of individual authors," Journal of Informetrics, Elsevier, vol. 5(4), pages 554-564.
    6. Usha Gupta, 1990. "Obsolescence of physics literature: Exponential decrease of the density of citations to Physical Review articles with age," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 41(4), pages 282-287, June.
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    Cited by:

    1. Sangwal, Keshra, 2015. "On the growth dynamics of citations of articles by some Nobel Prize winners," Journal of Informetrics, Elsevier, vol. 9(3), pages 466-476.
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    3. Sangwal, Keshra, 2013. "Comparison of different mathematical functions for the analysis of citation distribution of papers of individual authors," Journal of Informetrics, Elsevier, vol. 7(1), pages 36-49.
    4. Sangwal, Keshra, 2013. "Citation and impact factor distributions of scientific journals published in individual countries," Journal of Informetrics, Elsevier, vol. 7(2), pages 487-504.

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