Krasnytska M. Phase transitions on complex networks

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U005212

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

07-09-2016

Specialized Academic Board

Д 35.156.01

Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine

Essay

Objects of the research: spin models on graphs. The goal: critical behaviour analysis, searching the universal characteristics of phase transitions. Methods: an inhomogeneous mean field approach, the partition function zeros analysis. Theoretical and practical results: the phase diagram, the description of critical behaviour in terms of characteristics of zeros location. Novelty: the partition function zeros analysis has been applied for the first time to spin model on scale-free networks. Implementation is planed. The region of application: statystical physics, sociophysics.

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