Understanding phase transition in communication networks to enable robust and resilient control

Soumik Sarkar, Kushal Mukherjee, Abhishek Srivastav, Asok Ray

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

This paper presents an application of Statistical Mechanics for analysis of critical phenomena in complex networks. Using the simulation model of a wired communication grid, the nature of phase transition is characterized and the corresponding critical exponent is computed. Network analogs of thermodynamic quantities such as order parameter, temperature, pressure, and composition are defined and the associated network phase diagrams are constructed. The notion of network eutectic point is introduced by showing characteristic similarities between the network phase diagram and the binary phase diagram. A concept of robust and resilient control in communication networks is presented based on network phase diagrams.

Original languageEnglish (US)
Title of host publication2009 American Control Conference, ACC 2009
Pages1549-1554
Number of pages6
DOIs
StatePublished - Nov 23 2009
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: Jun 10 2009Jun 12 2009

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2009 American Control Conference, ACC 2009
CountryUnited States
CitySt. Louis, MO
Period6/10/096/12/09

Fingerprint

Telecommunication networks
Phase diagrams
Phase transitions
Statistical mechanics
Complex networks
Eutectics
Thermodynamics
Communication
Chemical analysis
Temperature

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Sarkar, S., Mukherjee, K., Srivastav, A., & Ray, A. (2009). Understanding phase transition in communication networks to enable robust and resilient control. In 2009 American Control Conference, ACC 2009 (pp. 1549-1554). [5159994] (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2009.5159994
Sarkar, Soumik ; Mukherjee, Kushal ; Srivastav, Abhishek ; Ray, Asok. / Understanding phase transition in communication networks to enable robust and resilient control. 2009 American Control Conference, ACC 2009. 2009. pp. 1549-1554 (Proceedings of the American Control Conference).
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Sarkar, S, Mukherjee, K, Srivastav, A & Ray, A 2009, Understanding phase transition in communication networks to enable robust and resilient control. in 2009 American Control Conference, ACC 2009., 5159994, Proceedings of the American Control Conference, pp. 1549-1554, 2009 American Control Conference, ACC 2009, St. Louis, MO, United States, 6/10/09. https://doi.org/10.1109/ACC.2009.5159994

Understanding phase transition in communication networks to enable robust and resilient control. / Sarkar, Soumik; Mukherjee, Kushal; Srivastav, Abhishek; Ray, Asok.

2009 American Control Conference, ACC 2009. 2009. p. 1549-1554 5159994 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - This paper presents an application of Statistical Mechanics for analysis of critical phenomena in complex networks. Using the simulation model of a wired communication grid, the nature of phase transition is characterized and the corresponding critical exponent is computed. Network analogs of thermodynamic quantities such as order parameter, temperature, pressure, and composition are defined and the associated network phase diagrams are constructed. The notion of network eutectic point is introduced by showing characteristic similarities between the network phase diagram and the binary phase diagram. A concept of robust and resilient control in communication networks is presented based on network phase diagrams.

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Sarkar S, Mukherjee K, Srivastav A, Ray A. Understanding phase transition in communication networks to enable robust and resilient control. In 2009 American Control Conference, ACC 2009. 2009. p. 1549-1554. 5159994. (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2009.5159994