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Information flow in a kinetic ising model peaks in the disordered phase

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posted on 2023-06-08, 18:15 authored by Lionel BarnettLionel Barnett, Joseph T Lizier, Michael Harré, Anil SethAnil Seth, Terry Bossomaier
There is growing evidence that for a range of dynamical systems featuring complex interactions between large ensembles of interacting elements, mutual information peaks at order-disorder phase transitions. We conjecture that, by contrast, information flow in such systems will generally peak strictly on the disordered side of a phase transition. This conjecture is verified for a ferromagnetic 2D lattice Ising model with Glauber dynamics and a transfer entropy-based measure of systemwide information flow. Implications of the conjecture are considered, in particular, that for a complex dynamical system in the process of transitioning from disordered to ordered dynamics (a mechanism implicated, for example, in financial market crashes and the onset of some types of epileptic seizures); information dynamics may be able to predict an imminent transition.

Funding

Towards a next-generation computational neuroscience; G0305; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/G007543/1

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review Letters (PRL)

ISSN

0031-9007

Publisher

American Physical Society

Issue

17

Volume

111

Page range

177203

Department affiliated with

  • Informatics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2014-09-09

First Open Access (FOA) Date

2014-09-09

First Compliant Deposit (FCD) Date

2014-09-09

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