ABS: Tsallis, Are citations o f scientific papers a case of nonextensivity?
Gretchen Whitney
gwhitney at UTKUX.UTCC.UTK.EDU
Mon Jun 5 18:30:45 EDT 2000
Author's email address:tsallis at cbpf.br
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FN ISI Export Forma
VR 1.0
PT J
AU Tsallis, C
de Albuquerque, MP
TI Are citations of scientific papers a case of nonextensivity?
SO EUROPEAN PHYSICAL JOURNAL B
NR 38
C1 Ctr Brasileiro Pesquisas Fis, Rua Xavier Sigaud 150, BR-
22290180 Rio De Janeiro, Brazil.
Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil.
ID TIME-DEPENDENT SOLUTIONS; STATISTICAL-MECHANICS; INITIAL
CONDITIONS; ANOMALOUS DIFFUSION; TSALLIS STATISTICS;
THERMODYNAMICS; SENSITIVITY; UNIVERSE; EQUATION; SYSTEMS
AB The distribution N(x) of citations of scientific papers has
recently been illustrated (on ISI and PRE data sets) and
analyzed by Redner (Eur. Phys. J. B 4, 131 (1998)). To fit the
data, a stretched exponential (N(x) proportional to exp -
(x/x(0))(beta)) has been used with only partial success. The
success is not complete because the data exhibit, for large
citation count x, a power law (roughly N(x) proportional to x(-
3) for the ISI data), which, clearly, the stretched exponential
does not reproduce. This fact is then attributed to a possibly
different nature of rarely cited and largely cited papers. We
show here that, within a nonextensive thermostatistical
formalism, the same data can be quite satisfactorily fitted
with a single curve (namely, N(x) proportional to 1/[1 + (q -
1) lambda x](q/q-1) for the available values of x. This is
consistent with the connection recently established by Denisov
(Phys. Lett. A 235, 447 (1997)) between this nonextensive
formalism and the Zipf-Mandelbrot law. What the present
analysis ultimately suggests is that, in contrast to Redner's
conclusion, the phenomenon might essentially be one and the
sane along the entire range of the citation number x.
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BP 777
EP 780
PG 4
JI Eur. Phys. J. B
PY 2000
PD FEB
VL 13
IS 4
GA 288QL
RP Tsallis C
Ctr Brasileiro Pesquisas Fis, Rua Xavier Sigaud 150, BR-22290180 Rio De
Janeiro, Brazil.
J9 EUR PHYS J B
UT ISI:000085574700022
ER
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