RT Journal Article T1 Spatial correlations in nonequilibrium reaction-diffusion problems by the Gillespie algorithm A1 Luis Hita, Jorge A1 Ortiz De Zárate Leira, José María AB 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. PB American Physical Society SN 1539-3755 YR 2013 FD 2013-05-14 LK https://hdl.handle.net/20.500.14352/33692 UL https://hdl.handle.net/20.500.14352/33692 LA eng NO © 2013 American Physical Society. We are indebted to Jan V. Sengers for suggesting part of this research and carefully reviewing the manuscript. DS Docta Complutense RD 3 abr 2025