Percolation-like phase transition in a non-equilibrium steady state
| dc.creator | Bose, Indrani | |
| dc.creator | Chaudhuri, Indranath | |
| dc.date | 1998-12-15 | |
| dc.date.accessioned | 2026-07-07T03:12:24Z | |
| dc.date.available | 2026-07-07T03:12:24Z | |
| dc.description | We study the Gierer-Meinhardt model of reaction-diffusion on a site-disordered square lattice. Let $p$ be the site occupation probability of the square lattice. For $p$ greater than a critical value $p_c$, the steady state consists of stripe-like patterns with long-range connectivity. For $p < p_c$, the connectivity is lost. The value of $p_c$ is found to be much greater than that of the site percolation threshold for the square lattice. In the vicinity of $p_c$, the cluster-related quantities exhibit power-law scaling behaviour. The method of finite-size scaling is used to determine the values of the fractal dimension $d_f$, the ratio, $\fracγν$, of the average cluster size exponent $γ$ and the correlation length exponent $ν$ and also $ν$ itself. The values appear to indicate that the disordered GM model belongs to the universality class of ordinary percolation. | |
| dc.description | LaTeX, 12 pages, 7 PS figures, communicated to Phys. Rev E | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9812243 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9812243 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28889 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Percolation-like phase transition in a non-equilibrium steady state | |
| dc.type | text |