323 research outputs found

    Dynamical fluctuations in an exactly solvable model of spin glasses

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    In this work we calculate the dynamical fluctuations at O(1/N) in the low temperature phase of the p=2p=2 spherical spin glass model. We study the large-times asymptotic regimes and we find, in a short time-differences regime, a fluctuation dissipation relation for the four-point correlation functions. This relation can be extended to the out of equilibrium regimes introducing a function XtX_{t} which, for large time tt, we find scales as t1/2t^{-1/2} as in the case of the two-point functions.Comment: Latex, 8 page

    Complexity and line of critical points in a short-range spin-glass model

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    We investigate the critical behavior of a three-dimensional short-range spin glass model in the presence of an external field \eps conjugated to the Edwards-Anderson order parameter. In the mean-field approximation this model is described by the Adam-Gibbs-DiMarzio approach for the glass transition. By Monte Carlo numerical simulations we find indications for the existence of a line of critical points in the plane (\eps,T) which separates two paramagnetic phases and terminates in a critical endpoint. This line of critical points appears due to the large degeneracy of metastable states present in the system (configurational entropy) and is reminiscent of the first-order phase transition present in the mean-field limit. We propose a scenario for the spin-glass transition at \eps=0, driven by a spinodal point present above TcT_c, which induces strong metastability through Griffiths singularities effects and induces the absence of a two-step shape relaxation curve characteristic of glasses.Comment: 5 pages, 4 postscript figure, revte

    Some non perturbative calculations on spin glasses

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    Models of spin glasses are studied with a phase transition discontinuous in the Parisi order parameter. It is assumed that the leading order corrections to the thermodynamic limit of the high temperature free energy are due to the existence of a metastable saddle point in the replica formalism. An ansatz is made on the form of the metastable point and its contribution to the free energy is calculated. The Random Energy Model is considered along with the p-spin and the p-state Potts Models in their p < infinity expansion.Comment: 12 pages, LaTe

    Finite dimensional corrections to mean field in a short-range p-spin glassy model

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    In this work we discuss a short range version of the pp-spin model. The model is provided with a parameter that allows to control the crossover with the mean field behaviour. We detect a discrepancy between the perturbative approach and numerical simulation. We attribute it to non-perturbative effects due to the finite probability that each particular realization of the disorder allows for the formation of regions where the system is less frustrated and locally freezes at a higher temperature.Comment: 18 pages, 5 figures, submitted to Phys Rev

    Glass transition in the quenched and annealed version of the frustrated lattice gas model

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    In this paper we study the 3d frustrated lattice gas model in the annealed version, where the disorder is allowed to evolve in time with a suitable kinetic constraint. Although the model does not exhibit any thermodynamic transition it shows a diverging peak at some characteristic time in the dynamical non-linear susceptibility, similar to the results on the p-spin model in mean field and Lennard-Jones mixture recently found by Donati et al. [cond-mat/9905433]. Comparing these results to those obtained in the model with quenched interactions, we conclude that the critical behavior of the dynamical susceptibility is reminiscent of the thermodynamic transition present in the quenched model, and signaled by the divergence of the static non-linear susceptibility, suggesting therefore a similar mechanism also in supercooled glass-forming liquids.Comment: 8 pages, 14 figure

    Self Consistent Screening Approximation For Critical Dynamics

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    We generalise Bray's self-consistent screening approximation to describe the critical dynamics of the ϕ4\phi^4 theory. In order to obtain the dynamical exponent zz, we have to make an ansatz for the form of the scaling functions, which fortunately can be much constrained by general arguments. Numerical values of zz for d=3d=3, and n=1,...,10n=1,...,10 are obtained using two different ans\"atze, and differ by a very small amount. In particular, the value of z2.115z \simeq 2.115 obtained for the 3-d Ising model agrees well with recent Monte-Carlo simulations.Comment: 21 pages, LaTeX file + 4 (EPS) figure

    Spin and density overlaps in the frustrated Ising lattice gas

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    We perform large scale simulations of the frustrated Ising lattice gas, a three-dimensional lattice model of a structural glass, using the parallel tempering technique. We evaluate the spin and density overlap distributions, and the corresponding non-linear susceptibilities, as a function of the chemical potential. We then evaluate the relaxation functions of the spin and density self-overlap, and study the behavior of the relaxation times. The results suggest that the spin variables undergo a transition very similar to the one of the Ising spin glass, while the density variables do not show any sign of transition at the same chemical potential. It may be that the density variables undergo a transition at a higher chemical potential, inside the phase where the spins are frozen.Comment: 7 pages, 10 figure

    Langevin dynamics of the Coulomb frustrated ferromagnet: a mode-coupling analysis

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    We study the Langevin dynamics of the soft-spin, continuum version of the Coulomb frustrated Ising ferromagnet. By using the dynamical mode-coupling approximation, supplemented by reasonable approximations for describing the equilibrium static correlation function, and the somewhat improved dynamical self-consistent screening approximation, we find that the system displays a transition from an ergodic to a non-ergodic behavior. This transition is similar to that obtained in the idealized mode-coupling theory of glassforming liquids and in the mean-field generalized spin glasses with one-step replica symmetry breaking. The significance of this result and the relation to the appearance of a complex free-energy landscape are also discussed.Comment: 13 pages, 11 figures, submitted to Phys. Rev.
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