Loss without recovery of Gibbsianness during diffusion of continuous spins
| dc.creator | Kuelske, C. | |
| dc.creator | Redig, F. | |
| dc.date | 2004-09-23 | |
| dc.date.accessioned | 2026-07-07T04:31:28Z | |
| dc.date.available | 2026-07-07T04:31:28Z | |
| dc.description | We consider a specific continuous-spin Gibbs distribution $μ_{t=0}$ for a double-well potential that allows for ferromagnetic ordering. We study the time-evolution of this initial measure under independent diffusions. For `high temperature' initial measures we prove that the time-evoved measure $μ_{t}$ is Gibbsian for all $t$. For `low temperature' initial measures we prove that $μ_t$ stays Gibbsian for small enough times $t$, but loses its Gibbsian character for large enough $t$. In contrast to the analogous situation for discrete-spin Gibbs measures, there is no recovery of the Gibbs property for large $t$ in the presence of a non-vanishing external magnetic field. All of our results hold for any dimension $d\geq 2$. This example suggests more generally that time-evolved continuous-spin models tend to be non-Gibbsian more easily than their discrete-spin counterparts. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0409061 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0409061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57828 | |
| dc.subject | Mathematical Physics | |
| dc.title | Loss without recovery of Gibbsianness during diffusion of continuous spins | |
| dc.type | text |