title: Nonuniversal power law scaling in the probability distribution of scientific citations.
abstract: We develop a model for the distribution of scientific citations. The model involves a dual mechanism: in the direct mechanism, the author of a new paper finds an old paper A and cites it. In the indirect mechanism, the author of a new paper finds an old paper A only via the reference list of a newer intermediary paper B, which has previously cited A. By comparison to citation databases, we find that papers having few citations are cited mainly by the direct mechanism. Papers already having many citations ("classics") are cited mainly by the indirect mechanism. The indirect mechanism gives a power-law tail. The "tipping point" at which a paper becomes a classic is about 25 citations for papers published in the Institute for Scientific Information (ISI) Web of Science database in 1981, 31 for Physical Review D papers published from 1975-1994, and 37 for all publications from a list of high h-index chemists assembled in 2007. The power-law exponent is not universal. Individuals who are highly cited have a systematically smaller exponent than individuals who are less cited.
authors.affiliation: Biophysics Graduate Group, and Department of Pharmaceutical Chemistry, University of California, San Francisco, CA 94158, USA.
authors.forename: George J
authors.initials: GJ
authors.lastname: Peterson
authors.forename: Steve
authors.initials: S
authors.lastname: Pressé
authors.forename: Ken A
authors.initials: KA
authors.lastname: Dill
mesh_terms: D016208:Databases, Factual; D055811:Journal Impact Factor; D015233:Models, Statistical; D010506:Periodicals as Topic / Q000706:statistics & numerical data*; D011336:Probability
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2 Pt 2):026113
references.pmid: 14525055
references.citation: Phys Rev Lett. 2000 Nov 20;85(21):4633-6
references.pmid: 11082614
references.citation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Nov;60(5 Pt A):5305-16
references.pmid: 11970400
references.citation: Science. 1999 Oct 15;286(5439):509-12
references.pmid: 10521342
references.citation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Dec;60(6 Pt A):6519-29
references.pmid: 11970569
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 2A):036123
references.pmid: 11909181
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Nov;70(5 Pt 2):056107
references.pmid: 15600692
references.citation: Proc Natl Acad Sci U S A. 2005 Nov 15;102(46):16569-72
references.pmid: 16275915
references.citation: Nature. 2000 Jul 27;406(6794):378-82
references.pmid: 10935628
references.citation: Science. 1968 Jan 5;159(3810):56-63
references.pmid: 5634379
references.citation: Proc Natl Acad Sci U S A. 2001 Jan 16;98(2):404-9
references.pmid: 11149952
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jun;63(6 Pt 2):066123
references.pmid: 11415189
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Feb;67(2 Pt 2):026112
references.pmid: 12636753
references.citation: Science. 2001 Sep 7;293(5536):1818-20
references.pmid: 11546870