Cugliandolo - Kurchan Equations for Dynamics of Spin - Glasses

Non-equilibrium fluctuation dissipation relations in binary glasses

We show that at short time aging is realized in a simple model of binary glasses. We find that below the transition point the off-equilibrium correlation functions and response functions are compatible with the relations that were originally derived Cugliandolo Kurchan for generalized spin glasses.

Numerical indications for the existence of a thermodynamic transition in binary glasses

In this note we present numerical simulations of binary mixtures and we find indications for a thermodynamic transition to a glassy phase. We find that below the transition point the off equilibrium correlation functions and response functions seems to be asymptotically compatible with the relations that were originally derived Cugliandolo Kurchan for generalized spin glasses.

Slow Dynamics and Aging in Spin Glasses

co nd - m at / 9 51 10 42 8 N ov 1 99 5 MODE - COUPLING APPROXIMATIONS , GLASS THEORYAND DISORDERED SYSTEMS

We discuss the general link between mode-coupling like equations (which serve as the basis of some recent theories of supercooled liquids) and the dynamical equations governing mean-eld spin-glass models, or the dynamics of a particle in a random potential. The physical consequences of this interrelation are underlined. It suggests to extend the mode-coupling approximation to temperatures well ...

Analytical solution of the off-equilibrium dynamics of a long-range spin-glass model.

We study the non-equilibrium relaxation of the spherical spin-glass model with p-spin interactions in the N → ∞ limit. We analytically solve the asymptotics of the magnetization and the correlation and response functions for long but finite times. Even in the thermodynamic limit the system exhibits 'weak' (as well as 'true') ergodicity breaking and aging effects. We determine a functional Paris...