Scale-invariant universal crossing probability in one-dimensional diffusion-limited coalescence
| dc.creator | Turban, L. | |
| dc.date | 2002-12-17 | |
| dc.date.accessioned | 2026-07-07T02:48:48Z | |
| dc.date.available | 2026-07-07T02:48:48Z | |
| dc.description | The crossing probability in the time direction is defined for an off-equilibrium reaction-diffusion system as the probability that the system of size L is still active at time t, in the finite-size scaling limit. Exact results are obtained for the diffusion-limited coalescence problem in 1+1 dimensions with periodic and free boundary conditions using empty interval methods. The crossing probability is a scale-invariant universal function of an effective aspect ratio, L^2/Dt, which is the natural scaling variable for this strongly anisotropic system. | |
| dc.description | 12 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0212407 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0212407 | |
| dc.identifier | J. Phys. A 36 (2003) 3995--4005 | |
| dc.identifier | doi:10.1088/0305-4470/36/14/305 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20547 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Scale-invariant universal crossing probability in one-dimensional diffusion-limited coalescence | |
| dc.type | text |