# On toy ageing

@article{Marinari1993OnTA, title={On toy ageing}, author={Enzo Marinari and Giorgio Parisi}, journal={Journal of Physics A}, year={1993}, volume={26} }

We consider the dynamics of a simple one-dimensional model and we discuss the phenomenon of ageing (i.e. the strong dependence of the dynamical correlation functions over the waiting time). Our model is the so-called random random walk, the toy model of a directed polymer evolving in a random medium.

## 18 Citations

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…

Replica field theory for deterministic models: II. A non-random spin glass with glassy behaviour

- Physics
- 1994

We introduce and sNdy a model which admits a complex landscape without containing quenched disorder. Continuing our previous investigation we introduce a disordered model which allows us to…

Aging without disorder on long time scales

- Physics
- 1994

We study the Metropolis dynamics of a simple spin system without disorder, which exhibits glassy dynamics at low temperatures. We use an implementation of the algorithm of Bortz, Kalos and Lebowitz…

Non-equilibrium dynamics in the random bond Ising chain: A reminiscence of aging in spin glasses

- Mathematics, Physics
- 1994

Statistical mechanics of a two-dimensional system with long-range interactions

- Physics
- 1998

We analyse the statistical physics of a two-dimensional lattice-based system with long-range interactions. The particles interact in a way analogous to the queens on a chess board. The long-range…

Fractal growth with quenched disorder

- Physics
- 1997

In this lecture we present an overview of the physics of irreversible fractal growth process, with particular emphasis on a class of models characterized by quenched disorder. These models exhibit…

On the equilibrium state of random walkers in random environments: analytical results

- Mathematics
- 1998

We study equilibrium properties of random walkers in one-dimensional random environments of finite length L. From an exact expression for the quenched average of the free energy we derive analytical…

Disorder phenomena in chaotic systems

- Physics
- 1999

The influence of static disorder on chaotic systems is investigated for two different classes. In the first case disorder is present in spatial inhomogeneities of low-dimensional extended systems. We…

Escape from Metastability via Aging: Non-Equilibrium Dynamics in a One- Dimensional Ising Model

- Physics
- 1994

The nonequilibrium dynamics of a one-dimensional Ising model with uniform, short-ranged three-spin interactions is investigated. It is shown that this model possesses an exponentially large number of…

Anomalous Transport in Disordered Dynamical Systems

- Physics
- 2004

We consider simple extended dynamical systems with quenched disorder. It is shown that these systems exhibit anomalous transport properties such as the total suppression of chaotic diffusion and…

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