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arXiv 0812.4296cs.DLphysics.data-an
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Tsallis $q$ -指数描述科学引文的分布-影响的新表征

Tsallis $q$-exponential describes the distribution of scientific citations - A new characterization of the impact

A. D. Anastasiadis, Marcelo P. de Albuquerque, Marcio P. de Albuquerque, Diogo B. Mussi

摘要:

在这项工作中,我们研究了1945年至2008年11月期间欧洲,拉丁美洲和非洲国家所有科学的研究活动。所有数据都是在此期间从Web of Science数据库中获取的。实验数据的分析表明,在一个非广泛的热统计形式主义,Tsallis \emph{q}指数分布$N(c)$令人满意地描述了科学信息引文研究所。作为第一种方法,通过应用{ \it单一}曲线(即,对于{ \it all},$c$,$T$是“有效温度”,$N(c) \propto 1/[1+(q-1) c/T]^{\frac{1}{q-1}}$和$q\simeq 4/3$),可以成功地拟合本调查中检查的数据。目前的分析最终表明,这种现象可能本质上是{ \it one and the same}沿着引用数的{ \it整个}范围。最后,这份手稿提供了一个新的排名指数,通过“有效温度”$T$,在这些国家的研究活动的影响水平,考虑到出版物的数量和它们的引用。

英文摘要:

In this work we have studied the research activity for countries of Europe, Latin America and Africa for all sciences between 1945 and November 2008. All the data are captured from the Web of Science database during this period. The analysis of the experimental data shows that, within a nonextensive thermostatistical formalism, the Tsallis \emph{q}-exponential distribution $N(c)$ satisfactorily describes Institute of Scientific Information citations. The data which are examined in the present survey can be fitted successfully as a first approach by applying a {\it single} curve (namely, $N(c) \propto 1/[1+(q-1) c/T]^{\frac{1}{q-1}}$ with $q\simeq 4/3$ for {\it all} the available citations $c$, $T$ being an "effective temperature". The present analysis ultimately suggests that the phenomenon might essentially be {\it one and the same} along the {\it entire} range of the citation number. Finally, this manuscript provides a new ranking index, via the "effective temperature" $T$, for the impact level of the research activity in these countries, taking into account the number of the publications and their citations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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