Restricted Solid-on-Solid Model with Various Deposition and Evaporation Probability on d = 4 + 1 dimensions

다국어 초록 (Multilingual Abstract)

We control the deposition probability p (the evaporation probability 1-p) in a restricted solid-on-solid model and monitor the surface width W(L,t) as a function of time t, where L is the system size in d=4+1 dimensions.
At p=1/2, the surface becomes flat, following the Edwards and Wilkinson universality class.
At p=0.88, W2 (t) grows logarithmically at the beginning and becomes saturated at ln L, showing a scaling W2(L,t) ~ ln [L2af(\frac{t}{L^z})] with z ≈ 2.0.
For the deposition-only model with p=1, W2 (L,t) shows a power law behavior W2 (t) ~ t2β with a rough interface.
With varying p, a smooth-to-rough surface transition is found, implying that d=4+1 is not the upper critical dimension of the Kardar Parisi Zhang equation.

참고문헌 (Reference)

1 M. Kardar, 58 : 2087-, 1987

2 B. M. Forrest, 64 : 1405-, 1990

3 J. M. Kim, 2015 : P07010-, 2015

4 J. M. Kim, 44 : 2345-, 1991

5 J. M. Kim, 44 : 4782-, 1991

6 D. A. Huse, 54 : 2708-, 1985

7 M. J. Vold, 14 : 168-, 1959

8 M. Kardar, 56 : 889-, 1986

9 J. M. Kim, 62 : 2289-, 1989

10 J. M. Kim, 24 : 5569-, 1991

11 F. Family, 18 : L75-, 1985

12 S-W. Kim, 2014 : P07005-, 2014

13 M. Lassig, 78 : 903-, 1997

14 L. Canet, 104 : 150601-, 2010

15 A. Pagnani, 87 : 010102-, 2013

16 J. M. Kim, 88 : 034102-, 2013

17 J. M. Kim, 80 : 888-, 1998

18 J. M. Kim, 270 : 335-, 1999

19 I. -M. Kim, 31 : 898-, 1997

20 W. Kwak, 520 : 87-, 2019

21 S. F. Edwards, 381 : 17-, 1982

22 C. A. Doty, 69 : 1979-, 1992

23 김진민, "Solid-on-Solid Model with Conserved Noise in Higher Dimensions" 한국물리학회 53 (53): 1797-1801, 2008

24 A-L. Barabasi, "Fractal Concepts in Surface Growth" Cambridge University Press 1995