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Abstract: In my PhD thesis I studied cooperative phenomena arise in complex systemsusing the methods of statistical and computational physics. The aim of my workwas also to study the critical behaviour of interacting many-body systemsduring their phase transitions and describe their universal featuresanalytically and by means of numerical calculations. In order to do so Icompleted studies in four different subjects. My first investigated subject wasa study of non-equilibrium phase transitions in weighted scale-free networks.The second problem I examined was the ferromagnetic random bond Potts modelwith large values of q on evolving scale-free networks which problem isequivalent to an optimal cooperation problem. The third examined problem wasrelated to the large-q sate random bond Potts model also and I examined thecritical density of clusters which touched a certain border of a perpendicularstrip like geometry and expected to hold analytical forms deduced fromconformal invariance. The last investigated problem was a study of thenon-equilibrium dynamical behaviour of the antiferromagnetic Ising model ontwo-dimensional triangular lattice at zero temperature in the absence ofexternal field and at the Kosterlitz-Thouless phase transition point.



Autor: Márton Karsai

Fuente: https://arxiv.org/







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