On the dynamics of Kac $p$-spin glasses

Abstract

This paper discusses the dynamical properties of $p$-spin models with Kac kind interactions. For large but finite interaction range $R$ one finds two different time scales for relaxation. A first relaxation roughly independent of $R$ where the system is confined to limited regions of the configuration space and an $R$ dependent time scale where the system is able to escape the confining regions. I will argue that the $R$ independent time scales can be described through dynamical mean field theory, while non-perturbative new techniques have to be used to deal with the $R$ dependent scales.

Submitted to JSP Special Issue on the Cortona Meeting "Mathematical Physics of Spin Glasses", Cortona (Italy), June 27 - July 2, 2005

References in corpus (13)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
• Recipes for metastable states in Spin Glasses
• An Extended Variational Principle for the SK Spin-Glass Model
• Ordering and Broken Symmetry in Short-Ranged Spin Glasses
• First steps of a nucleation theory in disordered systems
• Metastable States, Relaxation Times and Free-energy Barriers in Finite Dimensional Glassy Systems
• The Kac limit for finite-range spin glasses
• Statistical Physics of the Glass Phase
• Vector breaking of replica symmetry in some low temperature disordered systems
• The p-spin spherical spin glass model
• A field-theoretical approach to the spin glass transition: models with long but finite interaction range
• Gauge Theories, Spin Glasses and Real Glasses

Cited by in corpus (4)

• Quantitative approximation schemes for glasses
• Dynamical Instantons and Activated Processes in Mean-Field Glass Models
• Quasi equilibrium construction for the long time limit of glassy dynamics
• An alternative, dynamic density functional-like theory for time-dependent density fluctuations in glass-forming fluids