1995/01/31 by Pierre Le Doussal, V. M. Vinokur, Valerii M. Vinokur · 53 citations
Economics, Econometrics and Finance · Materials Science · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Condensed matter physics #Creep #Dimension (graph theory) #Elasticity (physics) #Gaussian #Glass transition #Material Dynamics and Properties #Mathematics #Nuclear magnetic resonance #Phenomenological model #Physics #Polymer #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Thermodynamics #Vortex #cond-mat
paper · pdf · doi:10.1016/0921-4534(95)00545-5
published in Physica C Superconductivity 254(1-2), 63-68 (Elsevier BV) · 5 pages. New version reproduces scaling of vortex glass transition and a general theory of certain glass transitions
arxiv created 1995/07/28 · openalex publication_date 1995/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The dynamics of a glass transition is discussed in terms of the motion of a particle in a one dimensional correlated random potential. An exact calculation of the velocity V under an applied force f demonstrates a variety of dynamic regimes depending on the range of correlations. In a gaussian potential with correlator C(x) = xγ, we find a transition from ohmic behaviour (γ<0) to creep motion V ∼ exp(- const/fμ ) (0<γ<1). This provides a generic picture of the glass transition in systems where long range correlations in the effective disorder develop due to elasticity such as elastic manifolds subject to quenched disorder and the vortex glass transition in superconductors.