Classical localization of an unbound particle in a two-dimensional periodic potential and surface diffusion

Physical Review B - Condensed Matter and Materials Physics

Volumn 63, Issue 12, 2001, Pages

  Haydock, Roger ^a  

^a UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATOM; CRYSTALLIZATION; DIFFUSION; ELASTICITY; ELECTRIC POTENTIAL; ENERGY; LOW TEMPERATURE; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; PHASE TRANSITION; SURFACE PROPERTY; TEMPERATURE DEPENDENCE;

EID: 0034906848     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.63.125413     Document Type: Article

References (17)

1. R. Haydock, C. M. M. Nex, and B. D. Simons: Phys. Rev. E 59, 5292 (1999).
2. R. Haydock and D. B. Kim: Comput. Phys. Commun. 87, 396 (1995).
3. R. Haydock, Solid State Physics (Academic Press, London, 1980), Vol. 35, p. 215.
4. J. A. Shohat and J. D. Tamarkin, The Classical Moment Problem (American Mathematical Society, Providence, RI, 1950).
5. C. Lanczos: J. Res. Natl. Bur. Stand. 45, 225 (1950).
6. R. Zwanzig, in Lectures in Theoretical Physics, 3rd ed.(Interscience, New York, 1961), p. 106.
7. H. Mori: Prog. Theor. Phys. 34, 399 (1965).
8. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1984).
9. R. S. Sinkovits, S. Sen, J. C. Phillips, and S. Chakravarti: Phys. Rev. E 59, 6497 (1999).
10. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, New York, 1976), p. 131.
11. B. J. Alder and W. E. Alley: J. Stat. Phys. 19, 341 (1978).
12. R. Ferrando, R. Spadacini, and G. E. Tommei: Phys. Rev. B 45, 444 (1992).
13. J. H. Wilkinson, The Algebraic Eigenvalue Problem (Oxford University Press, London, 1965).
14. R. Haydock: Phys. Rev. B 61, 7953 (2000).
15. J. R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, 1999).
16. G. Costantini and F. Marchesoni: Europhys. Lett. 48, 491 (1999).
17. N. F. Mott and E. A. Davis, Electronic Processes in Non-crystalline Materials. 2nd ed. (Clarendon Press, Oxford, 1979), p. 32.