Exact dynamics of a reaction-diffusion model with spatially alternating rates
| dc.creator | Mobilia, M. | |
| dc.creator | Schmittmann, B. | |
| dc.creator | Zia, R. K. P. | |
| dc.date | 2004-12-21 | |
| dc.date | 2005-05-31 | |
| dc.date.accessioned | 2026-07-07T03:02:50Z | |
| dc.date.available | 2026-07-07T03:02:50Z | |
| dc.description | We present the exact solution for the full dynamics of a nonequilibrium spin chain and its dual reaction-diffusion model, for arbitrary initial conditions. The spin chain is driven out of equilibrium by coupling alternating spins to two thermal baths at different temperatures. In the reaction-diffusion model, this translates into spatially alternating rates for particle creation and annihilation, and even negative ``temperatures'' have a perfectly natural interpretation. Observables of interest include the magnetization, the particle density, and all correlation functions for both models. Two generic types of time-dependence are found: if both temperatures are positive, the magnetization, density and correlation functions decay exponentially to their steady-state values. In contrast, if one of the temperatures is negative, damped oscillations are observed in all quantities. They can be traced to a subtle competition of pair creation and annihilation on the two sublattices. We comment on the limitations of mean-field theory and propose an experimental realization of our model in certain conjugated polymers and linear chain compounds. | |
| dc.description | 13 pages, 1 table, revtex4 format (few minor typos fixed). Published in Physical Review E | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0412576 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0412576 | |
| dc.identifier | Phys. Rev. E 71, 056129 (2005) | |
| dc.identifier | doi:10.1103/PhysRevE.71.056129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25540 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Exact dynamics of a reaction-diffusion model with spatially alternating rates | |
| dc.type | text |