Finite temperature Functional RG, droplets and decaying Burgers Turbulence
| dc.creator | Doussal, Pierre Le | |
| dc.date | 2006-05-19 | |
| dc.date.accessioned | 2026-07-07T07:09:03Z | |
| dc.date.available | 2026-07-07T07:09:03Z | |
| dc.description | The functional RG (FRG) approach to pinning of $d$-dimensional manifolds is reexamined at any temperature $T$. A simple relation between the coupling function $R(u)$ and a physical observable is shown in any $d$. 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 $R(u)$ as well as its thermal boundary layer (TBL) form (i.e. for $u \sim T$) at $T>0$. Connection between FRG in $d=0$ and decaying Burgers is discussed. An exact solution to the functional RG hierarchy in the TBL is obtained for any $d$ and related to droplet probabilities. | |
| dc.description | 8 pages 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605490 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605490 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110925 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Finite temperature Functional RG, droplets and decaying Burgers Turbulence | |
| dc.type | text |