Diffusion of particles on lattices

Diffusion in Condensed Matter: Methods, Materials, Models

Volumn , Issue , 2005, Pages 745-792

  Kehr, Klaus W ^a   Mussawisade, Kiaresch ^a   Schütz, Gunter M ^a   Wichmann, Thomas ^b  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b NONE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

AMORPHOUS MATERIALS; CONDENSED MATTER PHYSICS; DIFFUSION IN SOLIDS; NANOCRYSTALLINE MATERIALS;

AMORPHOUS SOLIDS; CONDENSED MATTER; CRYSTALLINE SOLIDS; DIFFUSION PROCESS; INTERSTITIAL DIFFUSION; INTERSTITIAL SITES; MATERIAL WORLD; TRACER DIFFUSION;

DIFFUSION IN LIQUIDS;

EID: 70349942532     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/3-540-30970-5_18     Document Type: Chapter

References (101)

1. A. Einstein: Ann. Phys. (Leipzig) 17, 549 (1905)
2. C. P. Flynn: Point Defects and Diffusion (Clarendon, Oxford 1972)
3. P. Hänggi, P. Talkner, M. Borkovec: Rev. Mod. Phys. 62, 251 (1990)
4. P. W. Anderson. In: Ill-Condensed Matter, Les Houches, Session XXXI, ed by R. Balian, R. Maynard, G. Toulouse (North Holland, Amsterdam 1979) p 159
5. K. Mussawisade. PhD thesis, Univ. Köln (2000)
6. N. M. Barber, B. W. Ninham: Random and Restricted Walks (Gordon and Breach, New York 1970)
7. G. H. Weiss: Aspects and Applications of the Random Walk (Clarendon Press, Oxford 1996)
8. N. G. Van Kampen: Stochastic Processes in Physics and Chemistry (North Holland, Amsterdam 1987)
9. F. Spitzer: Principles of Random Walks (Van Nostrand, Princeton NJ 1964)
10. H. Spohn: Large Scale Dynamics of Interacting Particles (Springer, Berlin Heidelberg New York 1991)
11. T. M. Liggett: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (Springer, Berlin Heidelberg New York 1999)
12. Fractals and Disordered Systems, ed by A. Bunde, S. Havlin (Springer, Berlin Heidelberg New York 1996)
13. S. Alexander, J. Bernasconi, W. R. Schneider, R. Orbach: Rev. Mod. Phys. 53, 175 (1981)
14. G. H. Weiss, R. J. Rubin: Adv. Chem. Phys. 52 363 (1983)
15. J. W. Haus, K. W. Kehr: Phys. Rep. 150, 263 (1987)
16. S. Havlin, D. Ben-Avraham: Adv. Phys. 36, 695 (1987)
17. J.-P. Bouchaud, A. Georges: Phys. Rep. 195, 127 (1990)
18. G. M. Schütz. In: Phase Transitions and Critical Phenomena, vol 19, ed by C. Domb, J. Lebowitz (Academic, London 2000)
19. J. R. Manning: Diffusion Kinetics for Atoms in Crystals (Van Nostrand, Princeton 1968)
20. J. Philibert: Atom Movements. Diffusion and Mass Transport in Solids (Les Editions de Physique, Les Ulis 1991)
21. S. Chandrasekhar: Rev. Mod. Phys. 15, 1 (1943)
22. R. Kutner, I. Sosnowska: J. Phys. Chem. Solids 38, 741 (1977)
23. K. W. Kehr, D. Richter, R. H. Swendsen: J. Phys. F. 8, 433 (1978)
24. I. S. Anderson, A. Heidemann, J. E. Bonnet, D. K. Ross, S. K. P. Wilson, M. W. McKergow: J. Less Common Met. 101, 405 (1984)
25. K. W. Schroeder: Z. Physik B25, 91 (1976)
26. D. Richter, T. Springer: Phys. Rev. B 18, 126 (1978)
27. W. Dieterich (unpublished)
28. R. Kutner: Physica A 224, 558 (1996)
29. T. Wichmann. PhD thesis, Univ. Köln (1996)
30. J. W. Haus, K. W. Kehr, J. W. Lyklema: Phys. Rev. B 25, 2905 (1982)
31. K. Mussawisade Diploma thesis, Univ. Köln (1996)
32. R. Zwanzig: J. Stat. Phys. 28, 127 (1982)
33. P. J. H. Denteneer, M. H. Ernst: J. Phys. C 16, L961 (1983);
34. Phys. Rev. B 29, 1755 (1984)
35. S. Alexander, R. Orbach: Physica 107 B, 675 (1981)
36. S. Summerfield: Solid State Commun. 39, 401 (1981)
37. T. Odagaki, M. Lax: Phys. Rev. B 24 5284 (1981)
38. I. Webman: Phys. Rev. Lett. 47, 1496 (1981)
39. J. W. Haus, K. W. Kehr, K. Kitahara: Phys. Rev. B 25, 4918 (1982);
40. Z. Physik B 50, 161 (1983)
41. S. Kirkpatrick: Rev. Mod. Phys. 45, 574 (1973)
42. J. Bernasconi: Phys. Rev. B 7, 2252 (1973)
43. H. Ambaye, K. W. Kehr: Phys. Rev. E 51, 5101 (1995)
44. P. Argyrakis, A. Milchev, V. Pereyra, K. W. Kehr: Phys. Rev. E 52, 3623 (1995)
45. B. I. Shklovskii, A. L. Efros: Soviet Physics JETP 33, 468 (1971)
46. V. Ambegaokar, B. I. Halperin, J. S. Langer: Phys. Rev. B 4, 2612 (1971)
47. D. Stauffer, A. Aharony: Introduction to Percolation Theory, 2nd edn (Taylor & Francis, London, 1994)
48. J. Bernasconi, W. R. Schneider, H. J. Wiesmann: Phys. Rev. B 16, 5250 (1977)
49. S. Tyc, B. I. Halperin: Phys. Rev. B 39, 877 (1989)
50. P. Le Doussal: Phys. Rev. B 39, 881 (1989)
51. R. A. Tahir-Kheli: Phys. Rev. B 28, 3049 (1983)
52. M. H. Ernst, T. M. Nieuwenhuizen, P. F. J. Van Velthoven, J. Phys. A 20, 5335 (1987)
53. M. Braun, K. W. Kehr: Phil. Mag. A 61, 855 (1990)
54. S. Havlin, B. L. Trus, G. H. Weiss: J. Phys. A 19, L817 (1986)
55. Y. Limoge, J. L. Bocquet: Phys. Rev. Lett. 65, 60 (1990)
56. K. Mussawisade, T. Wichmann, K. W. Kehr: J. Phys.: Condens. Matter 9, 1181 (1997)
57. M. Wagener, W. Schirmacher: Ber. Bunsenges. Phys. Chem. 95, 983 (1991)
58. A. Hoerner, A. Milchev, P. Argyrakis: Phys. Rev. E 52, 3570 (1995)
59. W. Dieterich, D. Knoedler, P. Pendzig: J. Non-Cryst. Solids 172-174 1237 (1994)
60. P. Maass, M. Meyer, A. Bunde: Phys. Rev. B 51, 8164 (1995)
61. D. Knoedler, P. Pendzig, W. Dieterich: Solid State Ionics 86-88, 29 (1996)
62. E. Marinari, P. Parisi, D. Ruelle, P. Windey: Phys. Rev. Lett. 50, 1223 (1983)
63. B. Schmittmann, R. K. P. Zia. In: Phase Transitions and Critical Phenomena, vol 15, ed by C. Domb, J. Lebowitz (Academic, London 1995)
64. P. Ferrari, L. R. G. Fontes, E. Saada: Ann. Prob. 19, 226 (1991)
65. B. Derrida, J. L. Lebowitz, E. Speer: J. Stat. Phys. 89, 135 (1997)
66. C. Pigorsch, G. M. Schütz: J. Phys. A 33, 7919 (2000)
67. J. Krug: Phys. Rev. Lett. 67, 1882 (1991)
68. G. Schütz, E. Domany: J. Stat. Phys. 72, 277 (1993)
69. M. R. Evans, D. P. Foster, C. Godrèche, D. Mukamel: J. Stat. Phys. 80, 69 (1995)
70. A. B. Kolomeisky, G. M. Schütz, E. B. Kolomeisky, J. P. Straley: J. Phys. A 31, 6911 (1998)
71. J. Hager, J. Krug, V. Popkov, G. M. Schütz: Phys. Rev. E 63 056110 (2001)
72. F. Spitzer: Adv. Math. 5, 246 (1970)
73. T. M. Liggett: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (Springer, Berlin Heidelberg New York 1999)
74. R. Kutner: Phys. Lett. 81 A, 239 (1981)
75. S. Alexander, T. Holstein: Phys. Rev. B 18, 301 (1978)
76. G. Schütz, S. Sandow: Phys. Rev. E 49, 2726 (1994)
77. J. Bardeen, C. Herring. In: Imperfections in Nearly Perfect Crystals, ed by W. Shockley (Wiley, New York 1952) p 261
78. A. D. Le Claire. In: Physical Chemistry vol 10, ed by H. Eyring, D. Henderson, W. Jost (Academic, New York 1970) p 261
79. G. L. Montet: Phys. Rev. B 7, 650 (1973)
80. S. Ishioka, M. Koiwa: J. Stat. Phys. 30, 477 (1983)
81. K. Nakazato, K. Kitahara: Progr. Theor. Phys. 64, 2261 (1980)
82. R. A. Tahir-Kheli, R. J. Elliott: Phys. Rev. B 27, 844 (1983)
83. K. W. Kehr, K. Binder. In: Applications of the Monte Carlo Method in Statistical Physics, Topics in Current Physics, vol 36, 2nd edn, ed by K. Binder (Springer, Berlin Heidelberg New York 1987) p 181
84. P. M. Richards: Phys. Rev. B 16, 1363 (1977)
85. H. Van Beijeren, K. W. Kehr, R. Kutner: Phys. Rev. B 28, 5711 (1983)
86. S. Alexander, P. Pincus: Phys. Rev. B 18, 2011 (1978)
87. R. Kutner, H. Van Beijeren, K. W. Kehr: Phys. Rev. B 30 4382 (1984)
88. R. Kutner, K. W. Kehr: Phil. Mag. A 48, 199 (1983)
89. H. Harder, A. Bunde, W. Dieterich, J. Chem. Phys. 85, 4123 (1986)
90. K. W. Kehr, O. Paetzold, T. Wichmann: Phys. Lett. A 182, 135 (1993)
91. P. Gartner, R. Pitis: Phys. Rev. B 45, 7739 (1992)
92. T. Wichmann, K. W. Kehr: J. Phys.: Condens. Matter 7, 717 (1995)
93. R. C. Brower, E. Salomons, R. Griessen: Phys. Rev. B 38, 10217 (1988);
94. E. Salomons: J. Phys. C 21, 5935 (1988)
95. V. P. Zhdanov: Surface Science 149, L13 (1985);
96. V. Pereyra, G. Zgrablich, V. P. Zhdanov: Langmuir 6, 691 (1990)
97. R. Kirchheim, U. Stolz: Acta metall. 35, 281 (1987)
98. T. Wichmann, K. G. Wang, K. W. Kehr: J. Phys. A 27, L263 (1994)
99. M. D. Ingram: Phys. Chem. Glasses 28, 215 (1987)
100. P. Maass, A. Bunde, M. D. Ingram: Phys. Rev. Lett. 68, 3064 (1992)
101. D. Knoedler, P. Pendzig, W. Dieterich: Solid State Ionics 70-71, 356 (1994)