{ "id": "0907.3858", "version": "v1", "published": "2009-07-22T14:34:49.000Z", "updated": "2009-07-22T14:34:49.000Z", "title": "Cooperative behaviour in complex systems", "authors": [ "Márton Karsai" ], "comment": "PhD thesis, 155 pages, 42 figures", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "In my PhD thesis I studied cooperative phenomena arise in complex systems using the methods of statistical and computational physics. The aim of my work was also to study the critical behaviour of interacting many-body systems during their phase transitions and describe their universal features analytically and by means of numerical calculations. In order to do so I completed studies in four different subjects. My first investigated subject was a study of non-equilibrium phase transitions in weighted scale-free networks. The second problem I examined was the ferromagnetic random bond Potts model with large values of q on evolving scale-free networks which problem is equivalent to an optimal cooperation problem. The third examined problem was related to the large-q sate random bond Potts model also and I examined the critical density of clusters which touched a certain border of a perpendicular strip like geometry and expected to hold analytical forms deduced from conformal invariance. The last investigated problem was a study of the non-equilibrium dynamical behaviour of the antiferromagnetic Ising model on two-dimensional triangular lattice at zero temperature in the absence of external field and at the Kosterlitz-Thouless phase transition point.", "revisions": [ { "version": "v1", "updated": "2009-07-22T14:34:49.000Z" } ], "analyses": { "keywords": [ "complex systems", "cooperative behaviour", "phase transition", "ferromagnetic random bond potts model", "large-q sate random bond potts" ], "tags": [ "dissertation" ], "publication": { "journal": "Ph.D. Thesis", "year": 2009, "month": "Jul" }, "note": { "typesetting": "TeX", "pages": 155, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhDT.......276K" } } }