Volume 76, Number 3, November 2006
|Page(s)||457 - 463|
|Section||Condensed matter: structural, mechanical and thermal properties|
|Published online||11 October 2006|
Finite-temperature functional RG, droplets and decaying Burgers turbulence
CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure 24 Rue Lhomond, 75231 Paris, France
Accepted: 18 September 2006
The functional RG (FRG) approach to pinning of d-dimensional manifolds is re-examined at any temperature T. The coupling function is shown to be a physical observable in any d, exactly related to a free energy cumulant in a parabolic well. In its beta function is displayed to a high order, ambiguities resolved; for random field disorder (Sinai model) we obtain exactly the fixed point and its thermal boundary layer (TBL) form (i.e. for ) at . Connection between FRG in and decaying Burgers turbulence is discussed. An exact solution to the functional RG hierarchy in the TBL is obtained for any d and related to droplet probabilities.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions
© EDP Sciences, 2006
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