| Issue |
Europhys. Lett.
Volume 76, Number 3, November 2006
|
|
|---|---|---|
| Page(s) | 457 - 463 | |
| Section | Condensed matter: structural, mechanical and thermal properties | |
| DOI | https://doi.org/10.1209/epl/i2006-10295-1 | |
| 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
Received:
20
May
2006
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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