Infinite-ranged models of spin-glasses

S Kirkpatrick, D Sherrington - Physical Review B, 1978 - APS
A class of infinite-ranged random model Hamiltonians is defined as a limiting case in which
the appropriate form of mean-field theory, order parameters and phase diagram to describe …

Dynamic theory of the spin-glass phase

H Sompolinsky, A Zippelius - Physical Review Letters, 1981 - APS
Exact averaged equations for spin relaxation in infinite-ranged spin-glasses are derived. It is
shown that, in general, time-persistent terms in both correlation and response functions …

Nonequilibrium dynamics of spin glasses

DS Fisher, DA Huse - Physical Review B, 1988 - APS
We consider the nonequilibrium behavior of the spin-glass ordered phase within the droplet
scaling theory introduced previously. The fundamental long-time nonequilibrium process is …

Dynamics of three-dimensional Ising spin glasses in thermal equilibrium

AT Ogielski - Physical Review B, 1985 - APS
I present an analysis of the dynamic behavior of short-range Ising spin glasses observed in
stochastic simulations. The time dependence of the order parameter q (t)=< S x (0) S x (t)> …

Time-dependent order parameters in spin-glasses

H Sompolinsky - Physical Review Letters, 1981 - APS
It is proposed that the spin-glass phase is described by two order parameters q (x)=[< S i (0)
S i (tx)>] av and χ (x)=∫ 0 tx χ (t) dt, that measure the relaxations of the average …

p-spin-interaction spin-glass models: Connections with the structural glass problem

TR Kirkpatrick, D Thirumalai - Physical Review B, 1987 - APS
The static and the dynamical theories for the mean-field p-spin (p> 2) interaction spin-glass
model are studied. A broken-replica-symmetric equilibrium solution leads to a glass …

Magnetic correlations in two-dimensional spin-glasses

I Morgenstern, K Binder - Physical Review B, 1980 - APS
By a recursive method numerically exact free energies are calculated for square L× L Ising
lattices, with 6<~ L<~ 18, for several kinds of frozen-in bond disorder:(i) bonds±J with …

Relaxational dynamics of the Edwards-Anderson model and the mean-field theory of spin-glasses

H Sompolinsky, A Zippelius - Physical Review B, 1982 - APS
Langevin equations for the relaxation of spin fluctuations in a soft-spin version of the
Edwards-Anderson model are used as a starting point for the study of the dynamic and static …

Real-space renormalization group calculations for spin glasses and dilute magnets

AP Young, RB Stinchcombe - Journal of Physics C: Solid State …, 1976 - iopscience.iop.org
Abstract The Edwards and Anderson model for spin glasses is investigated by a decimation
rescaling transformation applied to a spin-1/2 Ising model. The technique reproduces the …

Off-equilibrium dynamics in finite-dimensional spin-glass models

J Kisker, L Santen, M Schreckenberg, H Rieger - Physical Review B, 1996 - APS
The low-temperature dynamics of the two-and three-dimensional Ising spin-glass model with
Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an …