The Glass Crossover from Mean-Field Spin-Glasses to Supercooled Liquids

Abstract

Stochastic-Beta-Relaxation (SBR) provides a characterisation of the glass crossover in discontinuous Spin-Glasses and Supercoooled liquid. Notably it can be derived through a rigorous computation from a dynamical Landau theory. In this paper I will discuss the precise meaning of this connection in a language that does not require familiarity with statistical field theory. I will discuss finite-size corrections in mean-field Spin-Glass models and loop corrections in finite-dimensional models that are both described by the dynamical Landau theory considered. Then I will argue that the same Landau theory can be associated to supercooled liquid described by Mode-Coupling-Theory invoking a physical principle of time-scale invariance.

Submitted to Phyl. Mag

References in corpus (4)

• Critical Dynamics in Glassy Systems
• Qualitative Features at the Glass Crossover
• Long-wavelength fluctuations lead to a model of the glass crossover
• Super-Cooled Liquids: Equivalence between Mode-Coupling Theory and Replica Approach

Cited by in corpus (4)

• Dynamical Landau Theory of the Glass Crossover
• Path Integral Approach Unveils the Role of Complex Energy Landscape for Activated Dynamics of Glassy Systems
• Unveiling the anatomy of mode-coupling theory
• Tagged-particle motion of Percus-Yevick hard spheres from first principles