# Anomalous fluctuations of directed polymers in random media.

@article{Hwa1994AnomalousFO, title={Anomalous fluctuations of directed polymers in random media.}, author={Hwa and Fisher}, journal={Physical review. B, Condensed matter}, year={1994}, volume={49 5}, pages={ 3136-3154 } }

A systematic analysis of large-scale fluctuations in the low-temperature pinned phase of a directed polymer in a random potential is described. These fluctuations come from rare regions with nearly degenerate ground states.'' The probability distribution of their sizes is found to have a power-law tail. The rare regions in the tail dominate much of the physics. The analysis presented here takes advantage of the mapping to the noisy Burgers' equation. It complements a phenomenological…

## 52 Citations

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

- Mathematics, Physics
- 1996

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…

Low-temperature properties of some disordered systems from the statistical properties of nearly degenerate two-level excitations

- Physics, Mathematics
- 2004

Abstract.The thermal fluctuations that exist at very low temperature in disordered systems are often attributed to the existence of some two-level excitations. In this paper, we revisit this question…

Thermal fluctuations in pinned elastic systems: field theory of rare events and droplets

- Physics
- 2005

Field theory of disordered systems -- Avalanches of an elastic interface in a random medium

- Physics
- 2013

In this thesis I discuss analytical approaches to disordered systems using field theory. Disordered systems are characterized by a random energy landscape due to heterogeneities, which remains fixed…

Non-equilibrium dynamics of disordered systems: understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space

- Physics
- 2008

We show that an appropriate description of the non-equilibrium dynamics of disordered systems is obtained through a strong disorder renormalization procedure in configuration space that we define for…

Static fluctuations of a thick one-dimensional interface in the 1+1 directed polymer formulation: numerical study.

- Mathematics, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

This work addresses numerically the time and temperature dependence of the roughness B(t), which quantifies the DP end point transverse fluctuations, and shows how the amplitude D[over ̃](∞)(T,ξ) controls the different regimes experienced by B( t)-in agreement with the analytical predictions of a DP toy model approach.

On growth, disorder, and field theory

- Philosophy, Physics
- 1998

This article reviews recent developments in statistical field theory far from equilibrium. It focuses on the Kardar-Parisi-Zhang equation of stochastic surface growth and its mathematical relatives,…

Chaos, concentration, and multiple valleys

- Mathematics, Physics
- 2008

Disordered systems are an important class of models in sta- tistical mechanics, having the defining characteristic that the energy landscape is a fixed realization of a random field. Examples include…

Random field Ising model : statistical properties of low-energy excitations and of equilibrium avalanches

- Physics
- 2011

With respect to usual thermal ferromagnetic transitions, the zero-temperature finite-disorder critical point of the Random-field Ising model (RFIM) has the peculiarity to involve some 'droplet'…

On the long times, large length scale behaviour of disordered systems

- Physics
- 1997

We discuss the large scale effective potential for elastic objects in the presence of a random pinning potential. In the static approach, converging analytical results show that the large scale, low…

## References

SHOWING 1-10 OF 43 REFERENCES

Spin Glass Theory and Beyond

- Physics
- 1987

This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular…

Field Theory, the Renormalization Group, and Critical Phenomena: Graphs to Computers

- Mathematics, Physics
- 1978

Pertinent Concepts and Ideas in the Theory of Critical Phenomena Formulation of the Problem of Phase Transitions in Terms of Functional Integrals Functional Integrals in Quantum Field Theory…

Phys. Rev. E

- Phys. Rev. E
- 1993

Phys. Rev. Lett

- Phys. Rev. Lett
- 1992

Phys. Rev. Lett

- Phys. Rev. Lett
- 1992

J. Phys. I

- J. Phys. I
- 1991

Phys. Rev. A

- Phys. Rev. A
- 1991

Phys. Rev. A

- Phys. Rev. A
- 1991

Phys. Rev. A Phys. Rev. A

- Phys. Rev. A Phys. Rev. A
- 1991

Phys. Rev. B

- Phys. Rev. B
- 1991