8th Liquid Matter Conference September 6-10, 2011 Wien, Austria ...

P8.60Thu 811:10-14:00Gauge theory of glass transition in frustrated systemMikhail Vasin 11 Physical-Technical Institute, Ural Branch of Russian Academy of Sciences, Kiriva St. 132,426001, Izhevsk, Russian FederationA new analytical approach for description of glass transition in frustrated system [1] is suggestedin presented work. The theory is based on the non-equilibrium dynamics technique [2] andgauge model of spin-glasses [3], and takes into account the interaction of the local order fieldwith the massive gauge field, which describes frustration-induced plastic deformation. Glasstransition is regarded as a phase transition interrupted because of caused by the frustrations,premature critical slowing down one of the freedom degrees. It is shown that the freezing of thesystem appears when the correlation length and relaxation time of the gauge field diverge. TheVogel-Fulcher-Tammann relation for the transition kinetics and critical exponent for non-linearsusceptibility, 2.5 ∼ < γ ≤ 3, are derived in the framework of the suggested approach. Expressionfor the temperature dependence of the heat capacity near to glass transition is derived. Thisdependence qualitatively is in good agreement with experimental data. The presented theoryreproduces the characteristic form of the correlation function dependence on time, and explainsthe boson peak appearance on this curve. Besides, the function of the glass transition temperaturevalue on cooling rate is derived, this dependence fully conforms with known experimental data.[1] M. G. Vasin, JSTAT, in publishing (2011);[2] M. G. Vasin, N. M. Shchelkachev, and V. M. Vinokur, Theoretical and Mathematical Physics,163(1): 537-548 (2010)[3] J. A. Hertz, Phys. Rev. B, v. 18, 4875-4885 (1978).60