Spatial correlations in nonequilibrium reaction-diffusion problems by the Gillespie algorithm
We present a study of the spatial correlation functions of a one-dimensional reaction-diffusion system in both equilibrium and out of equilibrium. For the numerical simulations we have employed the Gillespie algorithm dividing the system into cells to treat diffusion as a chemical process between ad...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/33692 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/33692 |
| Access Level: | acceso abierto |
| Palabra clave: | 536 Long-range correlations Accelerated stochastic simulation Chemical langevin equation Microscopic simulation Hydrodynamic fluctuations Homogeneous systems Light-scattering Liquid-mixtures Equilibrium Noise Termodinámica 2213 Termodinámica |
| Sumario: | We present a study of the spatial correlation functions of a one-dimensional reaction-diffusion system in both equilibrium and out of equilibrium. For the numerical simulations we have employed the Gillespie algorithm dividing the system into cells to treat diffusion as a chemical process between adjacent cells. We find that the spatial correlations are spatially short ranged in equilibrium but become long ranged in nonequilibrium. These results are in good agreement with theoretical predictions from fluctuating hydrodynamics for a one-dimensional system and periodic boundary conditions. |
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