Crossref journal-article
AIP Publishing
The Journal of Chemical Physics (317)
Abstract

Existing kinetic Monte Carlo (KMC) frameworks for the simulation of adsorption, desorption, diffusion, and reaction on a lattice often assume that each participating species occupies a single site and represent elementary events involving a maximum of two sites. However, these assumptions may be inadequate, especially in the case of complex chemistries, involving multidentate species or complex coverage and neighboring patterns between several lattice sites. We have developed a novel approach that employs graph-theoretical ideas to overcome these challenges and treat easily complex chemistries. As a benchmark, the Ziff-Gulari-Barshad system is simulated and comparisons of the computational times of the graph-theoretical KMC and a simpler KMC approach are made. Further, to demonstrate the capabilities of our framework, the water-gas shift chemistry on Pt(111) is simulated.

Bibliography

Stamatakis, M., & Vlachos, D. G. (2011). A graph-theoretical kinetic Monte Carlo framework for on-lattice chemical kinetics. The Journal of Chemical Physics, 134(21).

Authors 2
  1. Michail Stamatakis (first)
  2. Dionisios G. Vlachos (additional)
References 45 Referenced 200
  1. 10.1016/0021-9991(75)90060-1 / J. Comput. Phys. (1975)
  2. 10.1021/la00043a012 / Langmuir (1992)
  3. 10.1063/1.449550 / J. Chem. Phys. (1985)
  4. 10.1063/1.453005 / J. Chem. Phys. (1987)
  5. 10.1016/0039-6028(89)90032-0 / Surf. Sci. (1989)
  6. 10.1039/a808011i / Phys. Chem. Chem. Phys. (1999)
  7. 10.1016/S0009-2509(98)00047-5 / Chem. Eng. Sci. (1998)
  8. 10.1515/REVCE.2000.16.2.71 / Rev. Chem. Eng. (2000)
  9. 10.1016/S0009-2509(98)00489-8 / Chem. Eng. Sci. (1999)
  10. 10.1016/S0039-6028(00)00598-7 / Surf. Sci. (2000)
  11. 10.1006/jcat.2000.3018 / J. Catal. (2000)
  12. 10.1103/PhysRevLett.93.116105 / Phys. Rev. Lett. (2004)
  13. 10.1016/j.jcat.2006.05.009 / J. Catal. (2006)
  14. 10.1103/PhysRevB.73.045433 / Phys. Rev. B (2006)
  15. {'key': '2023062605154633400_c15', 'article-title': 'First-principles kinetic Monte Carlo simulations for heterogeneous catalysis: concepts, status and frontiers', 'volume-title': 'Modeling Heterogeneous Catalytic Reactions: From the Molecular Process to the Technical System', 'author': 'Deutschmann', 'year': '2010'} / Modeling Heterogeneous Catalytic Reactions: From the Molecular Process to the Technical System / First-principles kinetic Monte Carlo simulations for heterogeneous catalysis: concepts, status and frontiers by Deutschmann (2010)
  16. 10.1021/ie100999e / Ind. Eng. Chem. Res. (2010)
  17. 10.1016/j.jcat.2009.09.004 / J. Catal. (2009)
  18. 10.1016/j.susc.2008.08.036 / Surf. Sci. (2009)
  19. 10.1006/jcph.2001.6877 / J. Comput. Phys. (2001)
  20. 10.1016/S0926-860X(00)00648-7 / Appl. Catal., A (2000)
  21. 10.1103/PhysRevE.58.2598 / Phys. Rev. E (1998)
  22. 10.1007/s10820-006-9042-9 / J. Comput.-Aided Mater. Des. (2007)
  23. {'key': '2023062605154633400_c23'}
  24. 10.1016/S0039-6028(97)01078-9 / Surf. Sci. (1998)
  25. 10.1103/PhysRevLett.56.2553 / Phys. Rev. Lett. (1986)
  26. 10.1103/RevModPhys.62.251 / Rev. Mod. Phys. (1990)
  27. {'key': '2023062605154633400_c27', 'article-title': 'Statistical approximations in collision theory', 'volume-title': 'Dynamics of Molecular Collisions. Part B', 'author': 'Miller', 'year': '1976'} / Dynamics of Molecular Collisions. Part B / Statistical approximations in collision theory by Miller (1976)
  28. {'edition': '2nd ed.', 'volume-title': 'Statistical Mechanics', 'year': '2000', 'key': '2023062605154633400_c28'} / Statistical Mechanics (2000)
  29. See supplementary material at http://dx.doi.org/10.1063/1.3596751 for: (1) Rate expressions for elementary steps involving gas species; (2) Comparison of the computational times of graph-theoretical KMC and a simpler KMC approach; (3) Water-gas shift elementary reaction patterns; (4) Data used in the rate constant calculations; (5) Effect of Diffusion; (6) Error estimates for the Arrhenius plot.
  30. 10.1080/08927020902833137 / Mol. Simul. (2009)
  31. 10.1103/PhysRevB.83.075415 / Phys. Rev. B (2011)
  32. 10.1016/0378-4371(84)90096-7 / Physica A (1984)
  33. 10.1021/jp7099702 / J. Phys. Chem. C (2008)
  34. {'volume-title': 'Handbook of Stochastic Methods', 'year': '2004', 'key': '2023062605154633400_c34'} / Handbook of Stochastic Methods (2004)
  35. {'key': '2023062605154633400_c35'}
  36. 10.1021/jp993732q / J. Phys. Chem. A (2000)
  37. {'volume-title': 'Introduction to Algorithms', 'year': '2009', 'key': '2023062605154633400_c37'} / Introduction to Algorithms (2009)
  38. 10.1145/321921.321925 / J. ACM (1976)
  39. 10.1145/1186810.1186811 / J. Graph Algorithm Appl. (1999)
  40. 10.1021/j100540a008 / J. Phys. Chem. (1977)
  41. 10.1021/jp002302t / J. Phys. Chem. B (2001)
  42. 10.1088/0953-8984/14/11/302 / J. Phys. Condens. Matter (2002)
  43. {'volume-title': 'Chemical Thermodynamics: Advanced Applications', 'year': '2000', 'key': '2023062605154633400_c43'} / Chemical Thermodynamics: Advanced Applications (2000)
  44. 10.1016/j.cattod.2005.11.026 / Catal. Today (2006)
  45. 10.1021/jp048698g / J. Phys. Chem. B (2004)
Dates
Type When
Created 14 years, 2 months ago (June 7, 2011, 6:52 p.m.)
Deposited 2 years, 1 month ago (June 26, 2023, 1:15 a.m.)
Indexed 4 days, 7 hours ago (Aug. 21, 2025, 1:07 p.m.)
Issued 14 years, 2 months ago (June 7, 2011)
Published 14 years, 2 months ago (June 7, 2011)
Published Online 14 years, 2 months ago (June 7, 2011)
Published Print 14 years, 2 months ago (June 7, 2011)
Funders 1
  1. U.S. Department of Energy 10.13039/100000015

    Region: Americas

    gov (National government)

    Labels8
    1. Energy Department
    2. Department of Energy
    3. United States Department of Energy
    4. ENERGY.GOV
    5. US Department of Energy
    6. USDOE
    7. DOE
    8. USADOE
    Awards1
    1. DE-FG02-05ER25702

@article{Stamatakis_2011, title={A graph-theoretical kinetic Monte Carlo framework for on-lattice chemical kinetics}, volume={134}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.3596751}, DOI={10.1063/1.3596751}, number={21}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Stamatakis, Michail and Vlachos, Dionisios G.}, year={2011}, month=jun }