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Discrete Dynamics in Nature and Society

Volume 2013 (2013), Article ID 478353, 6 pages

http://dx.doi.org/10.1155/2013/478353

## Nobelist TD LEE Scientist Cooperation Network and Scientist Innovation Ability Model

China Institute of Atomic Energy, Beijing 102413, China

Received 24 July 2013; Accepted 7 August 2013

Academic Editor: Guanghui Wen

Copyright © 2013 Jin-Qing Fang and Qiang Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

Nobelist TD Lee scientist cooperation network (TDLSCN) and their innovation ability are studied. It is found that the TDLSCN not only has the common topological properties both of scale-free and small-world for a general scientist cooperation networks, but also appears the creation multiple-peak phenomenon for number of published paper with year evolution, which become Nobelist TD Lee’s significant mark distinguished from other scientists. This new phenomenon has not been revealed in the scientist cooperation networks before. To demonstrate and explain this new finding, we propose a theoretical model for a nature scientist and his/her team innovation ability. The theoretical results are consistent with the empirical studies very well. This research demonstrates that the model has a certain universality and can be extended to estimate innovation ability for any nature scientist and his/her team. It is a better method for evaluating scientist innovation ability and his/her team for the academic profession and is of application potential.

As is well known, scientist cooperation networks as an important issue in network science have been studied widely [1–8]. It is significant to study Nobelist Tsung-Dao Lee (TD Lee, Chinese: *李**政**道*) scientist cooperation networks, which is a typical nature scientist team. TD Lee is a celebrated Chinese-born American physicist, well known for his work [9] on parity violation, the Lee Model, particle physics, relativistic heavy ion (RHIC) physics, nontopological solitons, and soliton stars. In 1957, TD Lee, at the age of 30, won the Nobel Prize in Physics with CN Yang (Chinese: *杨**振**宁*) for their work on the violation of parity law in weak interaction, which Chien-Shiung Wu experimentally verified.

According to Lee Digital Library [9], we have constructed and studied TD Lee scientist cooperation networks (TDLSCN), as shown in Figure 1, where the nodes are TD Lee and his cooperators, and two nodes are connected if two scientists have written an article together. The TDLSCN includes published 195 papers and 92 network nodes during 1948–1996. TD Lee (*李**政**道*) and CN Yang (*杨**振**宁*) are two hubs in the TDLSCN, in which 37 papers were cooperated with CN Yang, both of them awarded the Nobel Prize in Physics at 1957. Table 1 and Figures 2 and 3 show the common topological properties and main features for the TDLSCN, respectively.

It can be seen from Figures 1 and 2 and Table 1 that the TDLSCN has general topological properties, that is, scale-free property with 3 power laws: the degree exponent , the node strength exponent , and the edge weight exponent , as well as small-world effect: the shortest path length and clustering coefficient .

It is found from Figure 3 that the most important feature of the TDLSCN is the multiple peak phenomenon for number of published papers with year evolution, or so-called creation multiple-peak for a nature scientist lifetime, which is revealed for the first time and is not explained yet at home and abroad. One model for the creativity of scientific knowledge was proposed by Soler [10], but he has not found and cannot explain the creation multiple peak at all. In addition, Wen and his cooperators proposed a weighted local-world evolving network model with aging nodes [11] and revealed scale-free as well as small-world properties in the model but did not have a chance to find creation multiple-peak phenomenon yet.

To explain the creation multiple peak phenomenon above, we propose a theoretical model of innovation ability for a nature scientist and his/her team. Our model is based on the network of citations among research articles and mainly includes two parts of contribution, one is the first author (TD Lee) contribution in his papers and the second is the first author contribution contained in the cooperation papers, and it considered their citations and influence factors of the journal published papers in the TDLSCN. The model allows assigning to each article a positive value for its creativity, that is, for its creation of new knowledge. Therefore, the innovation ability for a nature scientist and his/her team should obey following dynamical equations, respectively: where and , respectively, are the weighted probability with number of papers in the year for the first author and the other contributions for number of cooperator papers. We consider that the first author TD Lee’s weighted probability should be bigger than his cooperators, which is reasonable and may be taken as follows: , by random selection; , are the number of papers selected by SCI published journal for the first author and cooperators, respectively. and are influence factors of the journal published papers for the first author and cooperators. and are SCI times cited, respectively, for the first author TD Lee and his cooperators.

It is noted that there is a hypothesis in our model that any reference’s contribution only is a very small part for the whole paper, so it can be canceled. According to (1)-(2), we have carried out 1000 random calculations, and then average innovation ability of TD Lee, collaborators, and his team can be obtained, respectively. Figures 4, 5, and 6 show the theoretical results with multiple peak for the innovation ability of TD Lee and his team, which are consistent with the empirical studies very well.

The cumulative creative ability of a scientist and of his/her team in merit of research are expressed respectively as follows: where is a normalized beginning year of published paper and is a number of ending years of publication, for example, TD Lee has since his beginning year of published paper is 1948 and ending year is 1996.

The cumulative and single creative abilities for an author and his/her team are proposed as an indicator of his or her merit of research. Figure 7 shows the comparison of cumulative creative ability with single-year creative ability for TD Lee (a) and his team (b), respectively.

#### Acknowledgment

This work is supported by the Nature Science Foundation of China Grant nos. 61174151 and 60874087.

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