# Aging in the linear harmonic oscillator

@article{Bonilla1998AgingIT, title={Aging in the linear harmonic oscillator}, author={L. Bonilla and F. Padilla and F. Ritort}, journal={Physica A-statistical Mechanics and Its Applications}, year={1998}, volume={250}, pages={315-326} }

The low temperature Monte Carlo dynamics of an ensemble of linear harmonic oscillators shows some entropic barriers related to the difficulty of finding the directions in configurational space which decrease the energy. This mechanism is enough to observe some typical non-equilibrium features of glassy systems like activated-type behavior and aging in the correlation function and in the response function. Due to the absence of interactions the model only displays a one-step relaxation process.

#### 22 Citations

The zeroth law in structural glasses: an example

- Physics
- 2002

We investigate the validity of a zeroth thermodynamic law for non-equilibrium systems. In order to describe the thermodynamics of glassy systems an extra parameter has been introduced, the effective… Expand

Slow dynamics due to entropic barriers in the one-dimensional ‘descent model’

- Physics
- 2003

We propose a novel one-dimensional simple model without disorder exhibiting slow dynamics and aging at the zero temperature limit. This slow dynamics is due to entropic barriers. We exactly solve the… Expand

Exactly solvable model glass with facilitated dynamics

- Physics, Chemistry
- 2001

A model glass with fast and slow processes is studied. The statics is simple and the facilitated slow dynamics is exactly solvable. The main features of a fragile glass appear: Kauzmann transition,… Expand

Thermodynamic picture of the glassy state

- Chemistry, Physics
- 2000

A picture for the thermodynamics of the glassy state is introduced. It assumes that one extra parameter, the effective temperature, is needed to describe the glassy state. This explains the classical… Expand

Glass transition and rigidity in the aging linear harmonic oscillator model

- Materials Science
- 2020

Abstract Rigidity theory in glasses was originally formulated to understand the relationship between network topology and glass forming ability, the later given by the minimal cooling rate required… Expand

Stimulated and spontaneous relaxation in glassy systems

- Mathematics, Physics
- 2003

Recent numerical simulations of a disordered system have shown the existence of two different relaxational processes characterizing the relaxation observed in structural glasses. The existence of… Expand

Universal dependence of the fluctuation?dissipation ratio on the transition rates in trap models

- Physics
- 2003

We investigate violations of the fluctuation?dissipation theorem in two classes of trap models by studying the influence of the perturbing field on the transition rates. We show that for perturbed… Expand

Kovacs effect in solvable model glasses

- Physics
- 2006

The Kovacs protocol, based on the temperature shift experiment originally conceived by A.J. Kovacs and applied on glassy polymers [1], is implemented in an exactly solvable model with facilitated… Expand

Nonequilibrium fluctuations in small systems: From physics to biology

- Physics
- 2007

In this paper I am presenting an overview on several topics related to nonequilibrium fluctuations in small systems. I start with a general discussion about fluctuation theorems and applications to… Expand

Kovacs effect in a model for a fragile glass

- Physics
- 2006

The Kovacs protocol, based on the temperature shift experiment originally conceived by A. J. Kovacs for glassy polymers, is implemented in an exactly solvable dynamical model. This model is… Expand

#### References

SHOWING 1-10 OF 16 REFERENCES

Nonequilibrium dynamics and aging in the three-dimensional Ising spin-glass model

- Physics
- 1993

The low temperature dynamics of the three-dimensional Ising spin-glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to… Expand

On mean field glassy dynamics out of equilibrium

- Physics
- 1994

We study the off equilibrium dynamics of a mean field disordered systems which can be interpreted both as long range interaction spin glass and as a particle in a random potential. The statics of… Expand

Phase Space Diffusion and Low Temperature Aging

- Mathematics, Physics
- 1995

We study the dynamical evolution of a system with a phase space consisting of configurations with random energies. The dynamics we use is of Glauber type. It allows for some dynamical evolution and… Expand

Out of equilibrium dynamics in spin-glasses and other glassy systems

- Physics, Materials Science
- 1997

We review recent theoretical progress on glassy dynamics, with special emphasis on the importance and universality of the ``aging regime'', which is relevant to many experimental situations. The… Expand

Langevin dynamics of the Lebowitz - Percus model

- Physics
- 1997

We revisit the hard-spheres lattice gas model in the spherical approximation proposed by Lebowitz and Percus. Although no disorder is present in the model, we find that the short-range dynamical… Expand

Long-time regime and scaling of correlations in a simple model with glassy behaviour

- Mathematics
- 1996

We investigate the long-time regime of a zero-temperature kinetic model with glassy behaviour, introduced recently. In this regime, the energy density and its two-time correlation function are found… Expand

Ageing classification in glassy dynamics

- Physics
- 1996

We study the out-of-equilibrium dynamics of several models exhibiting ageing. We attempt to identify various types of ageing systems using a phase space point of view. We introduce a trial… Expand

Analytical solution of the Monte Carlo dynamics of a simple spin-glass model

- Physics
- 1996

In this note we present an exact solution of the Monte Carlo dynamics of the spherical Sherrington-Kirkpatrick spin-glass model. We obtain the dynamical equations for a generalized set of moments… Expand

ENERGY FLOW, PARTIAL EQUILIBRATION, AND EFFECTIVE TEMPERATURES IN SYSTEMS WITH SLOW DYNAMICS

- Physics
- 1997

We show that, in nonequilibrium systems with small heat flows, there is a time-scale-dependent effective temperature that plays the same role as the thermodynamical temperature in that it controls… Expand

Error threshold in simple landscapes

- Mathematics, Physics
- 1996

It is shown that, in both cases, the error threshold is analogous to a first-order thermodynamical transition, where the overlap between the average genotype and the optimal one drops discontinuously to zero. Expand