Stochastic System with Colored Noise and Absorbing States: Path Integral Solution
| dc.creator | Kharchenko, D. O. | |
| dc.date | 2000-04-04 | |
| dc.date.accessioned | 2026-07-07T02:37:16Z | |
| dc.date.available | 2026-07-07T02:37:16Z | |
| dc.description | The behavior of the most probable values of the order parameter $x$ and the amplitude $ϕ$ of conjugate force fluctuations is studied for a stochastic system with a colored multiplicative noise with absorbing states. The phase diagrams introduced as dependencies the noise self-correlation time vs temperature and noise growth velocity are defined. It is shown that phase half-plane $(x,ϕ)$ can be split into isolated domains of large, intermediate, and small values of $x$. System behavior in these domains is studied by the probability represented as path integral. In the region $x\ll 1$, the trajectories converge to the point $x = ϕ= 0$ for $0 < a < 1/2$ and to $x = 0$, $ϕ\to\infty$ for $1/2 < a \le 1$. In the former case, the probability of realization of trajectories is finite, while in the latter case it is vanishingly small, and an absorbing state can be formed. | |
| dc.description | 9 pages, 5 figures, LaTeX | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0004040 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0004040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16226 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Stochastic System with Colored Noise and Absorbing States: Path Integral Solution | |
| dc.type | text |