Estimation of information theoretic measures on the ising model

Fatimah Abdul Razak, Henrik Jeldtoft Jensen

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

Abstract

Information theoretic measures are especially of interest to complex systems since these are typically strongly interconnected. We propose looking at these measures in the context of statistical mechanics, the setting being the Ising model. The model is famous for the ability to replicate critical transition with simple nearest neighbour interactions. Complex systems whose main characteristic consist in essential collective behaviour takes into account instances when the whole system is interdependent and may benefit from investigations on the Ising Model. We simulate the Ising model with the Metropolis Monte Carlo algorithm and estimate these measures using time average values of the simulations with interesting results.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages56-61
Number of pages6
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

Ising model
complex systems
statistical mechanics
estimates
simulation
interactions

Keywords

  • Critical transition
  • Information theory
  • Ising model
  • Metropolis monte carlo

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Abdul Razak, F., & Jensen, H. J. (2014). Estimation of information theoretic measures on the ising model. In AIP Conference Proceedings (Vol. 1602, pp. 56-61). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882466

Estimation of information theoretic measures on the ising model. / Abdul Razak, Fatimah; Jensen, Henrik Jeldtoft.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 56-61.

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

Abdul Razak, F & Jensen, HJ 2014, Estimation of information theoretic measures on the ising model. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 56-61, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882466
Abdul Razak F, Jensen HJ. Estimation of information theoretic measures on the ising model. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 56-61 https://doi.org/10.1063/1.4882466
Abdul Razak, Fatimah ; Jensen, Henrik Jeldtoft. / Estimation of information theoretic measures on the ising model. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 56-61
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