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Volumn 69, Issue 1 1, 2004, Pages 111031-111035

Anisotropic ballistic deposition model with links to the Ulam problem and the Tracy-Widom distribution

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NORMAL DISTRIBUTION; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 1842479828     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (38)

References (33)
  • 2
    • 0003499994 scopus 로고
    • edited by C. Godrèche (Cambridge University Press, New York)
    • J. Krug and H. Spohn, in Solids Far From Equilibrium, edited by C. Godrèche (Cambridge University Press, New York, 1991).
    • (1991) Solids Far from Equilibrium
    • Krug, J.1    Spohn, H.2
  • 6
    • 0001359634 scopus 로고
    • F.C. Frank, J. Cryst. Growth 22, 233 (1974); J. Krug and H. Spohn, Europhys. Lett. 8, 219 (1989); J. Kertész and D.E. Wolf, Phys. Rev. Lett. 62, 2571 (1989).
    • (1974) J. Cryst. Growth , vol.22 , pp. 233
    • Frank, F.C.1
  • 7
    • 84956107296 scopus 로고
    • F.C. Frank, J. Cryst. Growth 22, 233 (1974); J. Krug and H. Spohn, Europhys. Lett. 8, 219 (1989); J. Kertész and D.E. Wolf, Phys. Rev. Lett. 62, 2571 (1989).
    • (1989) Europhys. Lett. , vol.8 , pp. 219
    • Krug, J.1    Spohn, H.2
  • 8
    • 4243159042 scopus 로고
    • F.C. Frank, J. Cryst. Growth 22, 233 (1974); J. Krug and H. Spohn, Europhys. Lett. 8, 219 (1989); J. Kertész and D.E. Wolf, Phys. Rev. Lett. 62, 2571 (1989).
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 2571
    • Kertész, J.1    Wolf, D.E.2
  • 9
    • 0000217249 scopus 로고
    • M.J. Void, J. Colloid Sci. 14, 168 (1959); P. Meakin, P. Ramanlal, L.M. Sander, and R.C. Ball, Phys. Rev. A 34, 5091 (1986); J. Krug and H. Spohn, ibid. 38, 4271 (1988).
    • (1959) J. Colloid Sci. , vol.14 , pp. 168
    • Void, M.J.1
  • 11
    • 0001592733 scopus 로고
    • M.J. Void, J. Colloid Sci. 14, 168 (1959); P. Meakin, P. Ramanlal, L.M. Sander, and R.C. Ball, Phys. Rev. A 34, 5091 (1986); J. Krug and H. Spohn, ibid. 38, 4271 (1988).
    • (1988) Phys. Rev. A , vol.38 , pp. 4271
    • Krug, J.1    Spohn, H.2
  • 13
    • 0002880483 scopus 로고
    • D. Dhar, Phase Transitions 9, 51 (1987); L.-H. Gwa and H. Spohn, Phys. Rev. Lett. 68, 725 (1992); D. Kim, Phys. Rev. E 52, 3512 (1995).
    • (1987) Phase Transitions , vol.9 , pp. 51
    • Dhar, D.1
  • 14
    • 11944258149 scopus 로고
    • D. Dhar, Phase Transitions 9, 51 (1987); L.-H. Gwa and H. Spohn, Phys. Rev. Lett. 68, 725 (1992); D. Kim, Phys. Rev. E 52, 3512 (1995).
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 725
    • Gwa, L.-H.1    Spohn, H.2
  • 15
    • 0001288820 scopus 로고
    • D. Dhar, Phase Transitions 9, 51 (1987); L.-H. Gwa and H. Spohn, Phys. Rev. Lett. 68, 725 (1992); D. Kim, Phys. Rev. E 52, 3512 (1995).
    • (1995) Phys. Rev. E , vol.52 , pp. 3512
    • Kim, D.1
  • 16
    • 33645064173 scopus 로고    scopus 로고
    • E. Katzav and M. Schwartz, e-print cond-mat/0309437
    • E. Katzav and M. Schwartz, e-print cond-mat/0309437.
  • 18
    • 0000439075 scopus 로고    scopus 로고
    • M. Prähofer and H. Spohn, Phys. Rev. Lett. 84, 4882 (2000); Physica A 279, 342 (2000).
    • (2000) Physica A , vol.279 , pp. 342
  • 19
    • 0002656386 scopus 로고
    • edited by E.F. Beckenbach (McGraw-Hill, New York)
    • S.M. Ulam, Modern Mathematics for the Engineers, edited by E.F. Beckenbach (McGraw-Hill, New York, 1961), p. 261.
    • (1961) Modern Mathematics for the Engineers , pp. 261
    • Ulam, S.M.1
  • 21
    • 27644532196 scopus 로고    scopus 로고
    • C.A. Tracy and H. Widom, Commun. Math. Phys. 159, 151 (1994); 177, 727 (1996). For a review, see Proceedings of the International Congress of Mathematicians, Beijing, 2002, edited by LI Tatsien (Higher Education Press, Beijing, 2002), Vol. I pp. 587-596.
    • (1994) Commun. Math. Phys. , vol.159 , pp. 151
    • Tracy, C.A.1    Widom, H.2
  • 22
    • 0030545965 scopus 로고    scopus 로고
    • C.A. Tracy and H. Widom, Commun. Math. Phys. 159, 151 (1994); 177, 727 (1996). For a review, see Proceedings of the International Congress of Mathematicians, Beijing, 2002, edited by LI Tatsien (Higher Education Press, Beijing, 2002), Vol. I pp. 587-596.
    • (1996) Commun. Math. Phys. , vol.177 , pp. 727
  • 31
    • 33645047096 scopus 로고    scopus 로고
    • The details will be published elsewhere
    • The details will be published elsewhere.
  • 32
    • 33645064174 scopus 로고    scopus 로고
    • note
    • The ADP problem can also be mapped asymptotically to the LIS problem (Ref. [22]). The ADP problem, on the other hand, can be solved (Ref. [20]) by mapping it to a five-vertex model (Ref. [21]), which provides an alternative physical derivation of the BDJ results via the mapping to a five-vertex model.


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