Survey of roughness by stochastic oscillations
| dc.creator | Moreau, Eric | |
| dc.date | 2006-10-27 | |
| dc.date | 2007-01-02 | |
| dc.date.accessioned | 2026-07-07T07:37:44Z | |
| dc.date.available | 2026-07-07T07:37:44Z | |
| dc.description | In this paper, connections between surface roughness and directed polymers in random medium are studied, when the surface is considered as a directed line undergoing stochastic oscillations. This is performed by studying the influence of a stochastic elastic forcing term $-κy+η(s)$, on a particle moving along a rough surface. Two models are proposed and analysed in this way: the random-walk process (RW) in its discrete and continuous form, and a Markovian process via the Ornstein-Uhlenbeck (O-U) process. It is shown that the continuous RW leads to an oscillator equation, via an effective action obeying a KPZ equation which is solved analytically. The O-U process allows to obtain information on the profile of surface for a long size substrate. The analogy with the roughness is achieved by introducing a quantity suited to directed line formalism: the height velocity variation $\partial h/\partial s$. | |
| dc.description | 8 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0610775 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0610775 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120875 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Survey of roughness by stochastic oscillations | |
| dc.type | text |