Dynamical Behaviour of Low Autocorrelation Models

Abstract

We have investigated the nature of the dynamical behaviour in low autocorrelation binary sequences. These models do have a glass transition $T_G$ of a purely dynamical nature. Above the glass transition the dynamics is not fully ergodic and relaxation times diverge like a power law $\tau \sim (T-T_G{)}^{-\gamma }$ with $\gamma$ close to $2$. Approaching the glass transition the relaxation slows down in agreement with the first order nature of the dynamical transition. Below the glass transition the system exhibits aging phenomena like in disordered spin glasses. We propose the aging phenomena as a precise method to determine the glass transition and its first order nature.

19 pages + 14 figures, LateX, figures uuencoded at the end of the file

References in corpus (9)

• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
• Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior
• Replica Field Theory for Deterministic Models: Binary Sequences with Low Autocorrelation
• Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
• Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
• Evidence of aging in mean-field spin glass models
• On the 3d Ising Spin Glass
• A Rapid Dynamical Monte Carlo Algorithm for Glassy Systems

Cited by in corpus (10)

• Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior
• Replica Field Theory for Deterministic Models: Binary Sequences with Low Autocorrelation
• Cryptographical Properties of Ising Spin Systems
• Landscape statistics of the low autocorrelated binary string problem
• The Fully Frustrated Hypercubic Model is Glassy and Aging at Large $D$
• Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model
• Self- generated disorder and structural glass formation in homopolymer globules
• Metastable States in High Order Short-Range Spin Glasses
• Damage spreading transition in glasses: a probe for the ruggedness of the configurational landscape
• Dynamics of structural models with a long-range interaction: glassy versus non-glassy behavior