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Phase-Transition in the Information Flow on the Internet

In [28] we show maps of the information flow on subsystems of the global Internet with a strong concentration within the US. The main increase in the information flow rate has been observed in the past few years. In Fig. 6 we plot the NSFNET backbone traffic (see Fig. 4 in [28]) normalized by the number of Internet hosts for each of the information services WWW, Gopher, and WAIS gif.


 Fig.6: NSFNET Backbone Traffic normalized by the Number of Internet hosts for each Service: WWW, Gopher, WAIS

The data are plotted on a logarithmic scale for the time since end of 1992. We can observe that the hyper-media based WWW is growing at a rate of about 37% per month up to the first quarter of 1993. At that time an advanced user interface to WWW was introduced, NCSA's Mosaic [44]. Since it is available for most of the common computer operating systems, it misses some of the advanced drag-and-drop features that we had available 1991 for the NeXTstep based Diagram interface. At the same time it created a very common, easy to use environment which appears to have triggered a sharp transition to a higher information flow rate which still continues to grow at 25% per month (status: May 1994) gif. During the transition period the temporary growth rates exceeded 600% per month [38].

In the context of non-equilibrium phase transitions we would identify the number of Internet hosts as control parameter and the traffic per Internet host as order parameter (see [12]). The analog of the free energy or generalized potential would be an information deficit that induces the generation of different unstable modes (in the sense of positive growth rates) of information flow or transport services (WWW,Gopher, WAIS).

The interpretation of fig. 6 could then be that there is a phase transition between two levels of information flow both of which have about the same stable growth rates with respect to the growth of the number of Internet hosts. The rapid transitions between those levels is induced by the release of X-Mosaic. The over-shooting during the summer could either indicate a novelty/exploratory effect or it could be a seasonal effect, which could be tested during the following summers.

Due to the highly connected nature of the Internet, information can propagate very rapidly through avalanche effects: Once a hyper-media-document has been released and made known to an active group of users, a link to it will be included in the local hyper-media-document of that user and consequently the news about the original document can spread rapidly like a global rumor. There are also key archive sites that are frequented by many users and thus has a dramatic effect on the visibility of specific documents. For example the document in [37] had an increase in access-frequency by more than 100% after it was announced in the NCSA ``What's New?'' page gif



next up previous
Next: Global Tele-Conferencing on Up: The Global Brain Previous: The Global Brain



Gottfried Mayer-Kress
Sat Apr 22 21:04:59 MDT 1995