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Analysis of complexity in interacting diffusion systems by entropy characteristic

  • Beihang University
  • Peking University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We investigate a class of systems with finite-capacity effect which has a more complex configuration than a well-known diffusion process featured by random walk. To answer how complex such a diffusion process is, entropy rate is introduced. Systems with finite-capacity effect are characterized by variable capacity of routers locating on highly heterogeneous complex networks. It is shown that the combinational behavior of complex topology and variable capacity is the main origin of complexity described by positive entropy. Further, analytical expressions are derived and convinced by simulations. Also, Maximum entropy principle provides an effective measure to design an optimal diffusion process.

Original languageEnglish
Title of host publicationRecent Researches in Applied Mathematics - 15th WSEAS International Conference on Applied Mathematics, MATH'10
Pages128-133
Number of pages6
StatePublished - 2010
Event15th WSEAS International Conference on Applied Mathematics, MATH'10 - Vouliagmeni, Athens, Greece
Duration: 29 Dec 201031 Dec 2010

Publication series

NameInternational conference on Applied Mathematics - Proceedings

Conference

Conference15th WSEAS International Conference on Applied Mathematics, MATH'10
Country/TerritoryGreece
CityVouliagmeni, Athens
Period29/12/1031/12/10

Keywords

  • Entropy
  • Phase transition
  • Routing strategy
  • Scale-free networks
  • Zero range process

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