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Statistical Physics Gibbs Ensemble Theory Application to Internet System

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 143)

Abstract

In this paper, we first give a brief review of Statistical physics Gibbs ensemble theory, then present a detail analysis and discuss for its essence, characteristics, applicable conditions, applicable scope and application domain. After the analysis of data indicators such as number of servers (order of magnitude), global and regional market share, global hits of some large sites such as Google, Yahoo, Facebook, Baidu, Bing, etc. We think that rapid developing Internet Scale has reached or near the requirements of thermodynamic limitation and internet package Sockets have satisfied the basic requirements of Statistical physics. After analysis of its structure, composition and essence, we defined it as Socketon. The third section describes its behavior composition and gives out a integrated mathematical expression, then we use the Gibbs ensemble theory into Internet system and deduced the partition function of Internet grand canonical ensemble. So produce a series of means, concepts and parameters to describe the Internet and the inner relations among websites and between website and clients. This opens a new research field.

Keywords

Internet dynamics Internet Gibbs ensemble theory Socketon website heat website potential 

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References

  1. 1.
    Paluch, A.S., Shen, V.K., Errington, J.R.: Comparing the Use of Gibbs Ensemble and Grand-Canonical Transition-Matrix Monte Carlo Methods to Determine Phase Equilibri. Industrial & Engineering Chemistry Research 47(13) (2008)Google Scholar
  2. 2.
    Maslov, V.P.: On the Number of Eigenvalues for a Gibbs Ensemble of Self-Adjoint Operators. Mat. Zametki 83(3), 465–467 (2008)MathSciNetGoogle Scholar
  3. 3.
    Chun, M.-S.: A Novel Simulation Architecture of Configurational-Bias Gibbs Ensemble Monte Carlo for the Conformation of Polyelectrolytes Partitioned in Confined Spaces. Macromolecular Research 11(5), 393–397 (2003)MathSciNetCrossRefGoogle Scholar
  4. 4.
  5. 5.

Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Direction des Systèmes d’Iformation de University Panthéon-AssasParis 2France
  2. 2.School of ComputerHubei University of EconomicsWuhanChina

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