Simple dynamics in the presence of topological disorder

Physica A: Statistical Mechanics and its Applications

Volumn 224, Issue 1-2, 1996, Pages 216-225

  Bausch, Richard ^a   Schmitz, Rudi ^a   Turski, Łukasz A ^b  

^a Inst für Theor Physik IV   (Germany)

^b CENTER FOR THEORETICAL PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24444473231     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(95)00369-X     Document Type: Article

References (33)

1. N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes (North-Holland, Amsterdam, 1981) Chapt. V, Sect. 4.
2. N.G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
3. J.H. Van Vleck, The Theory of Electric Magnetic Susceptibilities (London, 1932); cf. also R.M. White, Quantum Theory of Magnetism (McGraw-Hill, New York, 1970).
4. J.H. Van Vleck, The Theory of Electric Magnetic Susceptibilities (London, 1932); cf. also R.M. White, Quantum Theory of Magnetism (McGraw-Hill, New York, 1970).
5. For a comprehensive review, cf. M. Peshkin, Phys. Rep. 80 (1981) 375.
6. M. Żórawski, Theorie Mathématique des Dislocations (Dunod, Paris, 1967).
7. E. Kroner, Kontinuumstheorie der Versetzungen und Eigenspannungen (Springer Verlag, Berlin, 1958); for a recent review of the Kröner approach, cf. E. Kröner, in: Physics of Defects, Les Houches Session XXXV edited by R. Balian (North-Holland, Amsterdam, 1981).
8. E. Kroner, Kontinuumstheorie der Versetzungen und Eigenspannungen (Springer Verlag, Berlin, 1958); for a recent review of the Kröner approach, cf. E. Kröner, in: Physics of Defects, Les Houches Session XXXV edited by R. Balian (North-Holland, Amsterdam, 1981).
9. B.A. Bilby, R. Bullough and E. Smith, Proc. Roy. Soc. London A 231 (1955) 263.
10. A. Kosevitch, Foundations of the Crystalline Lattice Mechanics (Science, Moscow, 1972) (in Russian).
11. L.A. Turski, Bull. Polon. Acad. Sci. Ser.IV (Mechanics) 14 (1966) 281; and in: Methods of Geometry in Physics and Technology, edited by P. Kucharczyk (WNT, Warsaw, 1966).
12. L.A. Turski, Bull. Polon. Acad. Sci. Ser.IV (Mechanics) 14 (1966) 281; and in: Methods of Geometry in Physics and Technology, edited by P. Kucharczyk (WNT, Warsaw, 1966).
13. H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989).
14. D.G.B. Edelen and D.C. Lagoudas, Gauge Theory and Defects in Solids (North-Holland, Amsterdam, 1988).
15. M. Kleman, Points, Lines and Walls (John Wiley, New York, 1983).
16. L.D. Landau and E.D Lifshitz, Elasticity Theory (Science Press, Moscow, 1984).
17. R. Bausch, R. Schmitz and Ł.A. Turski, Phys. Rev. Lett. 73 (1994) 2382; Z. Phys. (1995).
18. R. Bausch, R. Schmitz and Ł.A. Turski, Phys. Rev. Lett. 73 (1994) 2382; Z. Phys. (1995).
19. P.C. Martin, E.D. Siggia and H.A. Rose, Phys. Rev. A 8 (1973) 423; H.K. Janssen, Z. Phys. B 23 (1976) 377; C. De Dominicis, J. Phys. Coll. 37, C1 247 (1976); Phys. Rev. B 18 (1978) 4913.
20. P.C. Martin, E.D. Siggia and H.A. Rose, Phys. Rev. A 8 (1973) 423; H.K. Janssen, Z. Phys. B 23 (1976) 377; C. De Dominicis, J. Phys. Coll. 37, C1 247 (1976); Phys. Rev. B 18 (1978) 4913.
21. P.C. Martin, E.D. Siggia and H.A. Rose, Phys. Rev. A 8 (1973) 423; H.K. Janssen, Z. Phys. B 23 (1976) 377; C. De Dominicis, J. Phys. Coll. 37, C1 247 (1976); Phys. Rev. B 18 (1978) 4913.
22. P.C. Martin, E.D. Siggia and H.A. Rose, Phys. Rev. A 8 (1973) 423; H.K. Janssen, Z. Phys. B 23 (1976) 377; C. De Dominicis, J. Phys. Coll. 37, C1 247 (1976); Phys. Rev. B 18 (1978) 4913.
23. J.P. Bouchard, A. Comtet, A. Georges and P. Le Doussal, J. Phys. (France) 48 (1987) 1445.
24. W.K. Burton, N. Cabrera and S.C. Frank, Phil. Trans. Roy. Soc. A 243 (1951) 299; D. Elwell and H.J. Scheel, Crystal Growth from High-Temperature Solutions (Academic Press, London, New York, 1975); H. Müller-Krumbhaar, Current Topics in Materials Science 1, edited by E. Kaldis (North-Holland, Amsterdam, 1978), p. 1; D.T.J. Hurle (ed.), Handbook of Crystal Growth (North-Holland, Amsterdam, 1993).
25. W.K. Burton, N. Cabrera and S.C. Frank, Phil. Trans. Roy. Soc. A 243 (1951) 299; D. Elwell and H.J. Scheel, Crystal Growth from High-Temperature Solutions (Academic Press, London, New York, 1975); H. Müller-Krumbhaar, Current Topics in Materials Science 1, edited by E. Kaldis (North-Holland, Amsterdam, 1978), p. 1; D.T.J. Hurle (ed.), Handbook of Crystal Growth (North-Holland, Amsterdam, 1993).
26. W.K. Burton, N. Cabrera and S.C. Frank, Phil. Trans. Roy. Soc. A 243 (1951) 299; D. Elwell and H.J. Scheel, Crystal Growth from High-Temperature Solutions (Academic Press, London, New York, 1975); H. Müller-Krumbhaar, Current Topics in Materials Science 1, edited by E. Kaldis (North-Holland, Amsterdam, 1978), p. 1; D.T.J. Hurle (ed.), Handbook of Crystal Growth (North-Holland, Amsterdam, 1993).
27. W.K. Burton, N. Cabrera and S.C. Frank, Phil. Trans. Roy. Soc. A 243 (1951) 299; D. Elwell and H.J. Scheel, Crystal Growth from High-Temperature Solutions (Academic Press, London, New York, 1975); H. Müller-Krumbhaar, Current Topics in Materials Science 1, edited by E. Kaldis (North-Holland, Amsterdam, 1978), p. 1; D.T.J. Hurle (ed.), Handbook of Crystal Growth (North-Holland, Amsterdam, 1993).
28. A. Łusakowski and Ł.A. Turski, Phys. Rev. B 48 (1993) 3835; Simple Quantum Dynamics in Presence of Topological Disorder (Max Born Symposium 1994), Lect. Notes in Physics 438 (Springer Verlag, 1994).
29. A. Łusakowski and Ł.A. Turski, Phys. Rev. B 48 (1993) 3835; Simple Quantum Dynamics in Presence of Topological Disorder (Max Born Symposium 1994), Lect. Notes in Physics 438 (Springer Verlag, 1994).
30. A. Łusakowski and Ł.A. Turski, Phys. Rev. B 48 (1993) 3835; Simple Quantum Dynamics in Presence of Topological Disorder (Max Born Symposium 1994), Lect. Notes in Physics 438 (Springer Verlag, 1994).
31. R. Bausch and H. Leschke Z. Phys. B 53 (1983) 249.
32. C. Pryor and A. Zee, Phys. Rev. B 46 (1992) 3116.
33. R. Bausch, R. Schmitz and Ł.A. Turski, in preparation.