Monte Carlo methods for equilibrium and nonequilibrium problems in interfacial electrochemistry

Interfacial Electrochemistry: Theory: Experiment, and Applications

Volumn , Issue , 2017, Pages 47-61

  Brown, G ^a   Rikvold, P A ^a   Mitchell, S J ^a   Novotny, M A ^a  

^a Florida State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROCHEMISTRY; UREA;

NONEQUILIBRIUM PROBLEMS; UNDERPOTENTIAL DEPOSITION;

MONTE CARLO METHODS;

EID: 84976883612     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780203750469     Document Type: Chapter

References (61)

1. L Blum. Adv Chem Phys 78: 171-227, 1990.
2. See, e.g., TL Einstein. Langmuir 7: 2520-2527, 1991.
3. TL Einstein. In: WN Unertl, ed. Handbook of Surface Science. Vol. 2. Physical Structure of Solid Surfaces. Amsterdam: Elsevier North-Holland, 1995.
4. L Blum, DA Huckaby, M Legault. Electrochim Acta 41: 2207-2227, 1996.
5. PA Rikvold. Electrochim Acta 36: 1689-1694, 1991.
6. PA Rikvold, M Gamboa-Aldeco, J Zhang, M Han, Q Wang, HL Richards, A Wieckowski. Surf Sci 335: 389-400, 1995.
7. PA Rikvold, J Zhang, YE Sung, A Wieckowski. Electrochim Acta 41: 2175-2184, 1996.
8. A comparison of results of perturbative and nonperturbative calculations for one and the same twodimensional lattice-gas model is given by PA Rikvold, MA Novotny. In: L Blum, FB Malik, eds Condensed Matter Theories. Vol. 8. New York: Plenum, 1993, pp. 627-635.
9. K Binder, DW Heermann. Monte Carlo Simulation in Statistical Physics. 3rd ed. Berlin: Springer, 1997.
10. H Gould, J Tobochnik. An Introduction to Computer Simulation Methods. Reading, MA: Addison-Wesley, 1996.
11. K Binder. In: K Binder, ed. Monte Carlo Methods in Statistical Physics. 2nd ed. Berlin: Springer, 1986.
12. K Binder. Annu Rev Phys Chem 43: 33-59, 1992.
13. BM Ocko, JX Wang, T Wandlowski. Phys Rev Lett 79: 1511-1514, 1997.
14. MTM Koper. J Electroanal Chem 450: 189-201, 1998.
15. JX Wang, T Wandlowski, BM Ocko. Electrochem Soc Proc 97-17: 293-301,1997.
16. D Huckaby, L Blum. J Chem Phys 92: 2646-2649, 1990.
17. L Blum, DA Huckaby. J Chem Phys 94: 6887-6894, 1991.
18. DA Huckaby, L Blum. J Electroanal Chem 315: 255-261, 1991.
19. J Zhang, YE Sung, PA Rikvold, A Wieckowski. J Chem Phys 104: 5699-5712, 1996.
20. L Blum, DA Huckaby. J Electroanal Chem 375: 69-77, 1994.
21. L Blum, M Legault, P Turq. J Electroanal Chem 379: 35-41, 1994.
22. M Gamboa-Aldeco, P Mrozek, CK Rhee, A Wieckowski, 8/27/2018 12: 21: 40
23. PMQ Wang, PA Rikvold. Surf Sci 297: L135-L140, 1993.
24. HH Lee, DP Landau. Phys Rev B 20: 2893-2900, 1979.
25. DA Huckaby, JM Kowalski. J Chem Phys 80: 2163-2167, 1984.
26. PA Rikvold, JB Collins, GD Hansen, JD Gunton. Surf Sci 203: 500-524, 1988.
27. M Schick. Prog Surf Sci 11: 245-292, 1981.
28. AJ Bard, LR Faulkner. Electrochemical Methods: Fundamentals and Applications. New York: Wiley, 1980.
29. JA Jensen, KB Rider, M Salmeron, GA Somorjai. Phys Rev Lett 80: 1228-1231, 1998.
30. PA Rikvold, MR Deakin. Surf Sci 249: 180-193, 1991.
31. JB Collins, P Sacramento, PA Rikvold, JD Gunton. Surf Sci 221: 277-298, 1989.
32. RJ Glauber. J Math Phys 4: 294-307, 1963.
33. L Chayes, J Machta. Phys A 239: 542-601, 1997.
34. 2 are estimated from the same sample. For a discussion of how to calculate empirical moments from numerical data while controlling roundoff errors, see, e.g., WP Press, SA Teukolsky WT Vetterling, BP Flannery. Numerical Recipes in Fortran 77. 2nd ed. Cambridge: Cambridge University Press, 1996, p. 605.
35. RK Pathria. Statistical Mechanics. 2nd ed. Oxford: Butter worth-Heinemann, 1996.
36. N Goldenfeld. Lectures on Phase Transitions and the Renormalization Group. Reading, MA: Addison-Wesley, 1992, pp. 279-282.
37. Monte Carlo movies and other supplementary materials can be viewed at http://www.scri.fsu.edu/~rikvold.
38. I Vattulainen, J Merikoski, T Ala-Nissilä, SC Ying. SurfSci 366: L697-L702, 1996.
39. T Ala-Nissilä, J Kjoll, SC Ying. Phys Rev B 46: 846-854, 1992.
40. AB Bortz, MH Kalos, JL Lebowitz, J Comput Phys 17: 10-18, 1975.
41. MA Novotny. Comp Phys 9: 46-52, 1995.
42. AV Aho, JE Hopcroft, JD Ullman. Data Structures and Algorithms. Reading, MA: Addison-Wesley, 1983.
43. G Valette, A Hamelin, R Parsons. Z Phys Chem 113: 71-89, 1978.
44. RJ Baxter, IG Enting, SK Tsang. J Stat Phys 22: 465-489, 1980.
45. G Giacomin, JL Lebowitz, C Maes. J Stat Phys 80: 1379-1403, 1995.
46. Z Racz. Phys Rev B 21: 4012-4016, 1980.
47. W Kinzel, M Schick. Phys Rev B 24: 324-328, 1981.
48. K Binder, DP Landau. Phys Rev B 21: 1941-1962, 1980.
49. JW Schultze, D Dickertmann. Surf Sci 54: 489-504, 1976.
50. D Dickertmann, FD Koppitz, JW Schultze, Electrochim Acta 21: 967-971, 1976.
51. DM Kolb. Z Phys Chem Neue Folge 154: 179-199, 1987.
52. M Zei, G Qiao, G Lempfuhl, DM Kolb. Ber Buns Ges Phys Chem 91: 3494, 1987.
53. MF Toney, JN Howard, H Richer, GL Borges, JG Gordon, OR Melroy, D Yee, LB Sorensen. Phys Rev Lett 75: 4472-4475, 1995.
54. PA Rikvold, G Brown, MA Novotny, A Wieckowski. Coll Surf A 134: 3-14, 1998.
55. RJ Baxter. Exactly Solved Models in Statistical Mechanics. London: Academic Press, 1982.
56. OM Magnussen, J Hotlos, RJ Nichols, DM Kolb, RJ Behm. Phys Rev Lett 64: 2929-2932, 1990.
57. GJ Edens, X Gao, MJ Weaver. J Electroanal Chem 375: 357-366, 1994.
58. IH Omar, HJ Pauling, K Jüttner. J Electrochem Soc 140: 2187-2192, 1993.
59. Z Shi, J Lipkowski. J Electroanal Chem 365: 303-309, 1994.
60. Z Shi, J Lipkowski, S Mirwald, B Pettinger. J Electroanal Chem 396: 115-124, 1995.
61. MH Hölzle, U Retter, DM Kolb. J Electroanal Chem 371: 101-109, 1994.