The universal high temperature regime of pinned elastic objects

Abstract

We study the high temperature regime within the glass phase of an elastic object with short ranged disorder. In that regime we argue that the scaling functions of any observable are described by a continuum model with a $\delta$-correlated disorder and that they are universal up to only two parameters that can be explicitly computed. This is shown numerically on the roughness of directed polymer models and by dimensional and functional renormalization group arguments. We discuss experimental consequences such as non-monotonous behaviour with temperature.

4 pages, 3 figures

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• Static fluctuations of a thick 1D interface in the 1+1 Directed Polymer formulation
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• Midpoint distribution of directed polymers in the stationary regime: exact result through linear response
• Invited review: KPZ. Recent developments via a variational formulation
• Analytical Methods and Field Theory for Disordered Systems
• Finite temperature crossovers in periodic disordered systems