A ug 2 00 1 Real space application of the mean - field description of spin glass dynamics
نویسنده
چکیده
The out of equilibrium dynamics of finite dimensional spin glasses is considered from a point of view going beyond the standard ‘mean-field theory’ versus ‘droplet picture’ debate of the last decades. The main predictions of both theories concerning the spin glass dynamics are discussed. It is shown, in particular, that predictions originating from mean-field ideas concerning the violations of the fluctuation-dissipation theorem apply quantitatively, provided one properly takes into account the role of a spin glass coherence length, which plays a central role in the droplet picture. Dynamics in a uniform magnetic field is also briefly discussed.
منابع مشابه
Real-space application of the mean-field description of spin-glass dynamics.
The out of equilibrium dynamics of finite dimensional spin glasses is considered from a point of view going beyond the standard "mean-field theory" versus "droplet picture" debate of the past decades. The main predictions of both theories concerning the spin-glass dynamics are discussed. It is shown, in particular, that predictions originating from mean-field ideas concerning the violations of ...
متن کاملar X iv : 0 70 8 . 14 09 v 1 [ qu an t - ph ] 1 0 A ug 2 00 7 Diffusive spin transport ∗ Cord
Information to be stored and transported requires physical carriers. The quantum bit of information (qubit) can for instance be realised as the spin 1 2 degree of freedom of a massive particle like an electron or as the spin 1 polarisation of a massless photon. In this lecture, I first use irreducible representations of the rotation group to characterise the spin dynamics in a least redundant m...
متن کامل1 A ug 2 00 2 Evidence for Frustration Universality Classes in 3 D Spin Glass Models
A recently introduced Renormalization Group approach to frustrated spin models is applied in three dimensions through Monte Carlo computations. A class of spin glass models is analysed, with correlated disorder variables given by a Z2 gauge field. Evidence is provided for the influence of deconfinement phase transition of gauge fields on the behaviour of the associated spin models, namely in th...
متن کاملun 2 00 3 replica equivalence in the edwards - anderson model Pierluigi
After introducing and discussing the link-overlap between spin configurations we show that the Edwards-Anderson model has a replicaequivalent quenched equilibrium state, a precondition for ultrametricity introduced by Parisi in the description of the mean-field spin-glass phase. Our method is based on the control of fluctuations through the property of stochastic stability and works for all the...
متن کاملar X iv : c on d - m at / 0 30 25 00 v 3 1 6 Se p 20 03 replica equivalence in the edwards - anderson model
After introducing and discussing the link-overlap between spin configurations we show that the Edwards-Anderson model has a replicaequivalent quenched equilibrium state, a property introduced by Parisi in the description of the mean-field spin-glass phase which generalizes ultrametricity. Our method is based on the control of fluctuations through the property of stochastic stability and works f...
متن کامل