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Physical Review Letters

Volumn 62, Issue 22, 1989, Pages 2571-2574

Anomalous roughening in growth processes

(2) Kertész, Jnos a Wolf, Dietrich E a

a UNIVERSITY OF COLOGNE (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243159042 PISSN: 00319007 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevLett.62.2571 Document Type: Article

Times cited : (109)

References (18)

1
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- Recent overviews of the subject can be found in T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1989); Random Fluctuations and Pattern Growth, edited by H. E. Stanley and N. Ostrowsky (Kluwer Academic, Boston, 1988); P. Meakin, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1988), Vol. 12, p. 335; J. Feder, Fractals (Plenum, New York, 1988).

2
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- Family, F.¹ Vicsek, T.²

3
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4
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- Medina, E.¹ Hwa, T.² Kardar, M.³ Zhang, Y.-C.⁴

5
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- The Surface Statistics of a Granular Aggregate
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- Edwards, S.F.¹ Wilkinson, D.R.²

6
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- Meakin, P.¹ Ramanlal, R.² Sander, L.M.³ Ball, R.C.⁴

7
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- (1987) Phys. Rev. A , vol.35 , pp. 3485
- Plischke, M.¹ Rácz, Z.² Liu, D.³

8
- 84956107296
- Anomalous Fluctuations in the Driven and Damped Sine-Gordon Chain
- (1989) Europhysics Letters (EPL) , vol.8 , pp. 219
- Krug, J.¹ Spohn, H.²

9
- 0008652681
- (1987) Phys. Rev. A , vol.36 , pp. 5465
- Krug, J.¹

10
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- Surface Width Exponents for Three- and Four-Dimensional Eden Growth
- (1987) Europhysics Letters (EPL) , vol.4 , pp. 651
- Wolf, D.E.¹ Kertész, J.²

11
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- J. M. Kim and, (to be published). For analytic results, see, -Healy, and T. Nattermann, Phys. Rev. Lett. (to be published).
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- Kosterlitz, J.M.¹ Halpin, T.²

12
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13
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14
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- Wolf, D.E.¹

15
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- The continuous PNG model was discussed by
- (1974) J. Cryst. Growth , vol.22 , pp. 233
- Frank, F.C.¹

16
- 84927453336
- A discrete version similar to ours was studied in Ref. 7. In that case u = 1 and no nucleation can take place next to a step. This model shows interesting symmetry properties but no transition [J. Krug (private communication)]. However, for u > 1 we have found the transition at a pc(u) which roughly equals pc( u - 1 ) in our model.

17
- 0001370981
- Vol. 5 (Hilger, in Percolation Structures and Processes, edited by, Annals of the Israel Physical Society, Bristol, 1983, For recent numerical estimates of the exponents see
- (1986) Phys. Rev. B , vol.33 , pp. 1982
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18
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- Wolf, D.E.¹

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