Thouless-Anderson-Palmer Approach to the Spherical p-Spin Spin Glass Model
نویسندگان
چکیده
We analyze the Thouless-Anderson-Palmer (TAP) approach to the spherical
منابع مشابه
Quenched complexity of the mean-field p-spin spherical model with external magnetic field
We consider the p-spin spherical spin-glass model in the presence of an external magnetic field as a general example of a mean-field system where a one-step replica symmetry breaking (1-RSB) occurs. In this context we compute the complexity of the Thouless–Anderson– Palmer states, performing a quenched computation. We find what the general connection is between this method and the standard stat...
متن کاملQuantum TAP equations
We derive Thouless-Anderson-Palmer (TAP) equations for quantum disordered systems. We apply them to the study of the paramagnetic and glassy phases in the quantum version of the spherical p spin-glass model. We generalize several useful quantities (complexity, threshold level, etc.) and various ideas (configurational entropy crisis, etc), that have been developed within the classical TAP approa...
متن کاملMean-field theory for a spin-glass model of neural networks: TAP free energy and paramagnetic to spin-glass transition
An approach is proposed to the Hopfield model where the mean-field treatment is made for a given set of stored patterns (sample) and then the statistical average over samples is taken. This corresponds to the approach made by Thouless, Anderson and Palmer (TAP) to the infinite-range model of spin glasses. Taking into account the fact that in the Hopfield model there exist correlations between d...
متن کاملModified TAP equations for the SK spin glass
The stability of the TAP mean field equations is reanalyzed with the conclusion that the exclusive reason for the breakdown at the spin glass instability is an inconsistency for the value of the local susceptibility. The natural requirement of self-consistency leads to modified equations which are in complete agreement with the original ones above the instability. Essentially altered results be...
متن کاملFinite-size critical scaling in Ising spin glasses in the mean-field regime.
We study in Ising spin glasses the finite-size effects near the spin-glass transition in zero field and at the de Almeida-Thouless transition in a field by Monte Carlo methods and by analytical approximations. In zero field, the finite-size scaling function associated with the spin-glass susceptibility of the Sherrington-Kirkpatrick mean-field spin-glass model is of the same form as that of one...
متن کامل