Velocity of front propagation in the epidemic model $A+B\to2A$
| dc.creator | Kumar, Niraj | |
| dc.creator | Tripathy, Goutam | |
| dc.date | 2006-07-11 | |
| dc.date.accessioned | 2026-07-07T07:15:56Z | |
| dc.date.available | 2026-07-07T07:15:56Z | |
| dc.description | We study front propagation in the irreversible epidemic model $A+B\to 2A$ in one dimension. Here, we allow the particles $A$ and $B$ to diffuse with rates $D_A$ and $D_B$, which, in general, may be different. We find analytic estimates for the front velocity by writing truncated master equation in a frame moving with the rightmost $A$ particle. The results obtained are in reasonable agreement with the simulation results and are amenable to systematic improvement. We also observe a crossover from the linear dependence of front velocity $V$ on $D_A$ for smaller values of $D_A$ to $V\propto \sqrt{D_A}$ for larger $D_A$, but numerically still significantly different from the mean field value. The deviations reflect the role of internal fluctuations which is neglected in the mean field description. | |
| dc.description | 5 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0607268 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0607268 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113402 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Velocity of front propagation in the epidemic model $A+B\to2A$ | |
| dc.type | text |