# Off-equilibrium dynamics of a (1 + 1)-dimensional directed polymer in random media

@article{Yoshino1996OffequilibriumDO, title={Off-equilibrium dynamics of a (1 + 1)-dimensional directed polymer in random media}, author={Hajime Yoshino}, journal={Journal of Physics A}, year={1996}, volume={29}, pages={1421-1434} }

The relaxational dynamics of a (1 + 1)-dimensional directed polymer in random potential is studied by Monte Carlo simulations. A series of temperature quench experiments is performed changing waiting times . A clear crossover from quasi-equilibrium behaviour to off-equilibrium behaviour appears in the dynamical overlap function whose scaling properties are very similar to those found in the three-dimensional spin-glass model. In the part, the fluctuation dissipation theorem of the first kind…

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## References

SHOWING 1-10 OF 31 REFERENCES

On the glassy nature of random directed polymers in two dimensions

- Chemistry
- 1990

We study numerically directed polymers in a random potential in 1 + 1 dimensions. We introduce two copies of the polymer, coupled through a thermodynamic local interaction. We show that the system is…

Anomalous fluctuations of directed polymers in random media.

- Physics, MedicinePhysical review. B, Condensed matter
- 1994

It is argued that the power-law distribution of large thermally active excitation is a consequence of the continuous statistical tilt'' symmetry of the directed polymer, the breaking of which gives rise to the large active excitations in a manner analogous to the appearance of Goldstone modes in pure systems with a broken continuous symmetry.

Directed paths in a random potential.

- Physics, MedicinePhysical review. B, Condensed matter
- 1991

The properties of directed paths in random media are explored, with emphasis on the low-temperature phase, and it is argued that at fixed temperature, the possible states of a directed path in an infinite system with one end fixed are simply parametrized by its average orientation.

Analytical solution of the off-equilibrium dynamics of a long-range spin-glass model.

- Physics, MedicinePhysical review letters
- 1993

A functional Parisi-like order parameter is determined which plays a similar role for the dynamics to that played by the usual function for the statics in the spherical spin-glass model with p-spin interactions in the N-spin limit.

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…

Weak ergodicity breaking and aging in disordered systems

- Physics
- 1992

We present a phenomenological model for the dynamics of disordered (complex) systems. We postulate that the lifetimes of the many metastable states are distributed according to a broad, power law…

On the out-of-equilibrium relaxation of the Sherrington-Kirkpatrick model

- Physics
- 1994

Starting from a set of assumptions on the long-time limit behaviour of the nonequilibrium relaxation of mean-field models in the thermodynamic limit, we derive analytical results for the long-time…

On the replica approach to random directed polymers in two dimensions

- Physics
- 1990

In this note we study directed polymers in a two dimensional random medium with short range noise using the replica approach. We find the predictions of the replica symmetric theory and we compare…

Thermal fluctuations, quenched disorder, phase transitions, and transport in type-II superconductors.

- Physics, MedicinePhysical review. B, Condensed matter
- 1991

The effects of thermal fluctuations, quenched disorder, and anisotropy on the phases and phase transitions in type-II superconductors are examined, focusing on linear and nonlinear transport…

Ageing phenomena in a spin-glass : effect of temperature changes below Tg

- Chemistry
- 1987

The magnetic properties of a spin-glass depend on the time spent in the low-temperature phase: this is the so-called ageing phenomenon. We present measurements of the low-frequency a.c.…