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Finite-temperature functional RG, droplets and decaying Burgers turbulence
- Source :
- Europhysics Letters (EPL). 76:457-463
- Publication Year :
- 2006
- Publisher :
- IOP Publishing, 2006.
-
Abstract
- The functional RG (FRG) approach to pinning of d-dimensional manifolds is re-examined at any temperature T. The coupling function R(u) is shown to be a physical observable in any d, exactly related to a free energy cumulant in a parabolic well. In d = 0 its beta function is displayed to a high order, ambiguities resolved; for random field disorder (Sinai model) we obtain exactly the T = 0 fixed point R(u) and its thermal boundary layer (TBL) form (i.e. for u ~ T) at T > 0. Connection between FRG in d = 0 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.
Details
- ISSN :
- 12864854 and 02955075
- Volume :
- 76
- Database :
- OpenAIRE
- Journal :
- Europhysics Letters (EPL)
- Accession number :
- edsair.doi...........35e8af75dbe48fcd383f8d7841ac6947