Fluctuations of an atomic ledge bordering a crystalline facet

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 3 2, 2004, Pages

  Ferrari, Patrik L ^a   Prähofer, Michael ^a   Spohn, Herbert ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CRYSTAL SYMMETRY; ELASTICITY; ENTROPY; FERMIONS; HAMILTONIANS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MATRIX ALGEBRA; RANDOM PROCESSES; STATISTICS; THERMAL EFFECTS; THERMODYNAMICS;

BORDER LEDGE FLUCTUATIONS; MULTIMATRIX MODELS; TERRACE-LEDGE-KINK (TLK) MODELS; THERMAL ACTIVATION;

CRYSTAL LATTICES;

EID: 42749107096     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.035102     Document Type: Article

References (26)

1. S. Surnev, P. Coenen, B. Voigtländer, H.P. Bonzel, and P. Wynblatt, Phys. Rev. B 56, 12 131 (1997).
2. M. Nowicki, C. Bombis, A. Emundts, H.P. Bonzel, and P. Wynblatt, Europhys. Lett. 59, 239 (2002).
3. M. Nowicki, C. Bombis, A. Emundts, and H. P. Bonzel, Phys. Rev. B 67, 075405 (2003).
4. V.L. Pokrovsky and A.L. Talapov, Phys. Rev. Lett. 42, 65 (1978).
5. H. Spohn, J. Stat. Phys. 47, 669 (1987).
6. D.C. Schlößer, L.K. Verheij, G. Rosenfeld, and G. Comsa, Phys. Rev. Lett. 82, 3843 (1999).
7. S.V. Khare and T.L. Einstein, Phys. Rev. B 54, 11 752 (1996).
8. S. Karlin and G. McGregor, Pac. J. Math. 9, 1141 (1959).
9. F. Dyson, J. Math. Phys. 3, 1191 (1962).
10. T.L. Einstein and O. Pierre-Louis, Surf. Sci. 424, L299 (1999).
11. T.L. Einstein, H.L. Richards, S.D. Cohen, and O. Pierre-Louis, Surf. Sci. 493, 460 (2001).
12. J. Villain and P. Bak, J. Phys. (Paris) 42, 657 (1982).
13. M. Prähofer and H. Spohn, J. Stat. Phys. 108, 1071 (2002).
14. C.A. Tracy and H. Widom, Commun. Math. Phys. 159, 151 (1994).
15. M. Adler and P. van Moerbeke, e-print, math.PR/0302329.
16. H. Widom, e-print math.PR/0308157.
17. F.Y. Wu, Phys. Rev. 168, 539 (1968).
18. A.F. Andreev, Zh. Éksp. Teor. Fiz. 80 2042 (1981) [Sov. Phys. JETP 53, 1063 (1982)].
19. A.F. Andreev, Zh. Éksp. Teor. Fiz. 80 2042 (1981) [Sov. Phys. JETP 53, 1063 (1982)].
20. H.W.J. Blöte and H.J. Hilhorst, J. Phys. A 15, L631 (1982).
21. R. Cerf and R. Kenyon, Commun. Math. Phys. 222, 147 (2002).
22. A. Okounkov and N. Reshetikhin, J. Am. Math. Soc. 16, 581 (2003).
23. P.L. Ferrari and H. Spohn, J. Stat. Phys. 113, 1 (2003).
24. Y. Akutsu and N. Akutsu, J. Phys. A 19, 2813 (1986).
25. E.E. Gruber and W.W. Mullins, J. Phys. Chem. Solids 28, 875 (1967).
26. Y. Akutsu, N. Akutsu, and T. Yamamoto, Phys. Rev. Lett. 61, 424 (1988).