Power laws in zero-range processes on random networks

نویسندگان

  • B. Waclaw
  • W. Janke
چکیده

We study statistical properties of a zero-range process (ZRP) on random networks. We derive an analytic expression for the distribution of particles (also called node occupation distribution) in the steady state of the ZRP in the ensemble of uncorrelated random graphs. We analyze the dependence of this distribution on the node-degree distribution. In particular, we show that when the degree distribution is tuned properly, one can obtain scale-free fluctuations in the distribution of particles. Such fluctuations lead to a power law in the distribution of particles, just like in the ZRP with the hopping rate u(m) = 1+ b/m on homogeneous graphs. PACS. 89.75.-k Complex systems – 05.20.-y Classical statistical mechanics – 05.70.Fh Phase transitions: general studies

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Convergent Multiplicative Processes Repelled from Zero: Power Laws and Truncated Power Laws

Levy and Solomon have found that random multiplicative processes wi =11 A2. At

متن کامل

The finite density scaling laws of condensation transition in the stationary and dynamical zero range processes on scale-free networks

The dynamics of zero-range processes on complex networks is expected to be influenced by the underlying topological structure of networks. A real space complete condensation transition in the stationary state may occur. We have studied the finite density effects of the condensation transition in both the static and dynamical zero-range process on scale-free network. By means of grand canonical ...

متن کامل

Strictly Positive and Continuous Random Fibonacci Sequences and Network Theory Applications

We motivate the study of a certain class of random Fibonacci sequences which we call continuous random Fibonacci sequences by demonstrating that their exponential growth rate can be used to establish capacity and power scaling laws for multihop cooperative amplify-and-forward (AF) relay networks. With these laws, we show that it is possible to construct multihop cooperative AF networks that sim...

متن کامل

Recent Progress in Complex Network Analysis: Properties of Random Intersection Graphs

Experimental results show that in large complex networks (such as internet, social or biological networks) there exists a tendency to connect elements which have a common neighbor. In theoretical random graph models, this tendency is described by the clustering coefficient being bounded away from zero. Complex networks also have power-law degree distributions and short average distances (small ...

متن کامل

Generalization of Decomposed Integration Methods for Cost Effective Heat Exchanger Networks with Multiple Cost Laws

At many circumstances, in heat exchange processes several exchangers were used with different cost laws due to their pressure ratings, materials of construction and exchange3r types. In such circumstances traditional methods of pinch technology can not be led to minimum total annual cost may cause some other disadvantages like more complexity or higher maintenance. In this research work a n...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008