Identification of the critical temperature from non-equilibrium time-dependent quantities

Abstract

We present a new procedure able to identify and measure the critical temperature. This method is based on the divergence of the relaxation time approaching the critical point in quenches from infinite temperature. We introduce a dimensionless quantity that turns out to be time-independent at the critical temperature. The procedure does not need equilibration and allows for a relatively fast identification of the critical temperature. The method is first tested in the ferromagnetic Ising model and then applied to the one-dimensional Ising spin glass with power-law interactions. Here we always find a finite critical temperature also in presence of a uniform external field, in agreement with the mean-field picture for the low temperature phase of spin glasses.

6 pages, 10 figures

References in corpus (8)

• Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses
• Diluted one-dimensional spin glasses with power law decaying interactions
• Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions
• Ising spin glass transition in magnetic field out of mean-field
• Nonlinear response and fluctuation dissipation relations
• Nonlinear susceptibilities and the measurement of a cooperative length
• Geometry of large-scale low-energy excitations in the one-dimensional Ising spin glass with power-law interactions
• Fluctuations of two-time quantities and non-linear response functions

Cited by in corpus (3)

• One dimensional phase-ordering in the Ising model with space decaying interactions
• Universality in three-dimensional Ising spin glasses: Nonequilibrium dynamics from Monte Carlo simulations
• Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method