Spatial correlations in nonequilibrium reaction-diffusion problems by the Gillespie algorithm
| dc.contributor.author | Luis Hita, Jorge | |
| dc.contributor.author | Ortiz De Zárate Leira, José María | |
| dc.date.accessioned | 2023-06-19T13:26:19Z | |
| dc.date.available | 2023-06-19T13:26:19Z | |
| dc.date.issued | 2013-05-14 | |
| dc.description | © 2013 American Physical Society. We are indebted to Jan V. Sengers for suggesting part of this research and carefully reviewing the manuscript. | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Estructura de la Materia, Física Térmica y Electrónica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/27274 | |
| dc.identifier.doi | 10.1103/PhysRevE.87.052802 | |
| dc.identifier.issn | 1539-3755 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevE.87.052802 | |
| dc.identifier.relatedurl | http://journals.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33692 | |
| dc.issue.number | 5 | |
| dc.journal.title | Physical Review E | |
| dc.language.iso | eng | |
| dc.publisher | American Physical Society | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 536 | |
| dc.subject.keyword | Long-range correlations | |
| dc.subject.keyword | Accelerated stochastic simulation | |
| dc.subject.keyword | Chemical langevin equation | |
| dc.subject.keyword | Microscopic simulation | |
| dc.subject.keyword | Hydrodynamic fluctuations | |
| dc.subject.keyword | Homogeneous systems | |
| dc.subject.keyword | Light-scattering | |
| dc.subject.keyword | Liquid-mixtures | |
| dc.subject.keyword | Equilibrium | |
| dc.subject.keyword | Noise | |
| dc.subject.ucm | Termodinámica | |
| dc.subject.unesco | 2213 Termodinámica | |
| dc.title | Spatial correlations in nonequilibrium reaction-diffusion problems by the Gillespie algorithm | |
| dc.type | journal article | |
| dc.volume.number | 87 | |
| dcterms.references | [1] J. R. Dorfman, T. R. Kirkpatrick, and J. V. Sengers, Annu. Rev. Phys. Chem. 45, 213 (1994). [2] L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, London, 1959); 2nd revised English version, 1987. [3] J. M. Ortiz de Zárate and J. V. Sengers, Hydrodynamic Fluctuations in Fluids and Fluid Mixtures (Elsevier, Amsterdam, 2006). [4] T. R. Kirkpatrick, E. G. D. Cohen, and J. R. Dorfman, Phys. Rev. A 26, 995 (1982). [5] D. Ronis and I. Procaccia, Phys. Rev. A 26, 1812 (1982). [6] J.M. Ortiz de Zárate and J.V. Sengers, PhysicaA300, 25 (2001). [7] B. M. Law and J. C. Nieuwoudt, Phys. Rev. A 40, 3880 (1989). [8] P. N. Segrè and J. V. Sengers, Physica A 198, 46 (1993). [9] I. Bena, M. M. Mansour, and F. Baras, Phys. Rev. E 59, 5503 (1999). [10] J. F. Lutsko and J. W. Dufty, Phys. Rev. E 66, 041206 (2002). [11] H. Wada and S. I. Sasa, Phys. Rev. E 67, 065302(R) (2003). [12] J. M. Ortiz de Zárate and J. V. Sengers, J. Stat. Phys. 144, 774 (2011). [13] B. M. Law, R. W. Gammon, and J. V. Sengers, Phys. Rev. Lett. 60, 1554 (1988). [14] A. Vailati and M. Giglio, Phys. Rev. Lett. 77, 1484 (1996). [15] C. J. Takacs, A. Vailati, R. Cerbino, S. Mazzoni, M. Giglio, and D. S. Cannell, Phys. Rev. Lett. 106, 244502 (2011). [16] J. M. Ortiz de Zárate, J.V. Sengers, D. Bedeaux, and S. Kjelstrup, J. Chem. Phys. 127, 034501 (2007). [17] D. Bedeaux, I. Pagonabarraga, J. M. Ortiz de Zárate, J. V. Sengers, and S. Kjelstrup, Phys. Chem. Chem. Phys. 12, 12780 (2010). [18] G. Nicolis and M. Malek Mansour, Phys. Rev.A29, 2845 (1984). [19] J. Zhang and J. Fan, Phys. Rev. E 79, 056302 (2009). [20] J. Gorecki, K. Kitahara, K. Yoshikawa, and I. Hanazaki, Physica A 211, 327 (1994). [21] J. Wakou, K. Kitahara, M. Litniewski, and J. Gorecki, Physica A 328, 23 (2003). [22] D. T. Gillespie, J. Comput. Phys. 22, 403 (1976). [23] D. T. Gillespie, J. Phys. Chem. 81, 2340 (1977). [24] H. H. McAdams and A. Arkin, PNAS 94, 814 (1997). [25] M. Thattai and A. van Oudenaarden, PNAS 98, 8614 (2001). [26] N. Barkai and S. Leibler, Nature (London) 403, 267 (2000). [27] J. A. White, J. T. Rubinstein, and A. R. Kay, Trends Neurosci. 23, 131 (2000). [28] D. Bernstein, Phys. Rev. E 71, 041103 (2005). [29] D. T. Gillespie, J. Chem. Phys. 115, 1716 (2001). [30] D. T. Gillespie and L. R. Petzold, J. Chem. Phys. 119, 8229 (2003). [31] S. Indurkhya and J. Beal, PLoS ONE 5, e8125 (2010). [32] J. Wakou and K. Kitahara, Physica A 281, 318 (2000). [33] G. Nicolis, A. Amellal, G. Dupont, and M. Mareschal, J. Mol. Liq. 41, 5 (1989). [34] F. Baras, J. E. Pearson, and M. Malek Mansour, J. Chem. Phys. 93, 5747 (1990). [35] M. Mareschal and A. De Wit, J. Chem. Phys. 96, 2000 (1992). [36] F. van Wijland, K. Oerding, and H. J. Hilhorst, Physica A 251, 179 (1998). [37] R. Taylor and R. Krishna, Multicomponent Mass Transfer (Wiley, New York, 1993). [38] D. T. Gillespie, J. Chem. Phys. 113, 297 (2000). [39] R. Zwanzig, J. Phys. Chem. B 105, 6472 (2001). [40] C. W. Gardiner, Handbook of Stochastic Methods, 2nd ed. (Springer, Berlin, 1985). [41] N. G. van Kampen, Phys. Lett. A 59, 333 (1976). [42] N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1982). [43] F. Baras, M. Malek Mansour, and J. E. Pearson, J. Chem. Phys. 105, 8257 (1996). [44] R. Schmitz and E. G. D. Cohen, J. Stat. Phys. 39, 285 (1985). [45] I. S. Gradstein and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic Press, San Diego, 1994) [46] L. F. Lafuerza and R. Toral, J. Stat. Phys. 140, 917 (2010). [47] D. T. Gillespie, A. Hellander, and L. R. Petzold, J. Chem. Phys. 138, 170901 (2013). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | d2b809b1-3ba2-407e-add2-8b8251e306ba | |
| relation.isAuthorOfPublication.latestForDiscovery | d2b809b1-3ba2-407e-add2-8b8251e306ba |
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