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Information × Registration Number 0215U003860, 0112U001013 , R & D reports Title Development of new mathematical methods and their application to problems of phase transitions, the constuction of exact solutions of the equations of superconductivity and magnetic monopole popup.stage_title Head Belokolos E., Registration Date 13-05-2015 Organization Institute of magnetism of NASU popup.description2 1. For macroscopic bodies which is described by infinitely-devisable Gibbs dictribution it is proved that any excitation may always represent as gas of quasi-particles or elementary excitations. We prove that a phase transition is a special state of macroscopic body when appropriate infinitely-devisable random variables becomes a stable random variables in a sense of P.Levy, and the characteristic exponents of the stable random variable are nothing else as the critical indices of phase transitons. 2. We have studied static non-abelien monopoles which satisfied to completely integrable ordinary differential Nahm equation and which transformed a construction problem of monopoles in a problem of algebraic geometry. These non-abelian monopoles correspond to special algebraic curves which satisfy to Hitchin conditions. Very important theorem is proved on the existence of special non-abelian thetrahedral monopoles which correspond to algebraic curves with the symmetry. Product Description popup.authors Білоколос Є.Д. Лейкін Д.В. Токарь В.І. popup.nrat_date 2020-04-02 Close