Statistical Physics Gibbs Ensemble Theory Application to Internet System

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.