CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
|
|
|
|
Monomer Adsorption-Desorption Processes |
KE Jian-Hong1,2, LIN Zhen-Quan2, CHEN Xiao-Shuang1 |
1National Laboratory of Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 2000832College of Physics and Electronic Information, Wenzhou University, Wenzhou 325035 |
|
Cite this article: |
KE Jian-Hong, LIN Zhen-Quan, CHEN Xiao-Shuang 2009 Chin. Phys. Lett. 26 058201 |
|
|
Abstract We propose an adsorption-desorption model for a deposit growth system, in which the adsorption and desorption of particles coexist. By means of the generalized rate equation we investigate the cluster (island) size distribution in the dynamic equilibrium state. The results show that the evolution behaviour of the system depends crucially on the details of the rate kernels. The cluster size distribution can take the scale-free power-law form in some cases, while it grows exponentially with size in other cases.
|
Keywords:
82.20.-w
68.43.Jk
89.75.Da
|
|
Received: 05 February 2009
Published: 23 April 2009
|
|
PACS: |
82.20.-w
|
(Chemical kinetics and dynamics)
|
|
68.43.Jk
|
(Diffusion of adsorbates, kinetics of coarsening and aggregation)
|
|
89.75.Da
|
(Systems obeying scaling laws)
|
|
|
|
|
[1] Finegold L and Donnell J T 1979 Nature 278 443 [2] Morris M A, Bowker M and King D A 1984 in Comprehensive Chemical Kinetics ed Bamford C H, Tipper C F H andCompton R G (Amsterdam: Elsevier) chap 1 [3] Andrade J D and Hlady V 1987 Adv. Polym. Sci. 79 1 [4] Schaaf P and Talbot J 1989 J. Chem. Phys. 914401 [5] Senger B, Schaaf P, Voegel J C, Johner A, Schmitt A andTalbot J 1991 Phys. Rev. A 44 6926 [6] Evans J W 1993 Rev. Mod. Phys. 65 1281 [7] Faraudo J and Bafaluy J 2000 J. Chem. Phys. 112 2003 [8] Hinrichsen E L, Feder J and J\o ssang T 1986 J.Stat. Phys. 44 793 [9] Schaaf P and Talbot J 1989 Phys. Rev. Lett. 62175 [10] Fan Y and Percus J K 1992 J. Stat. Phys. 66263 [11] Krapivsky P L 1992 J. Stat. Phys. 69 135 [12] Jullien R and Meakin P 1992 J. Phys. A: Math. Gen. 25 L189 [13] Schaaf P, Carl Ph, Voegel J C, Mann E K and Senger B 1996 Phys. Rev. E 54 6962 [14] Hassan M. K, Schmidt J, Blasius B and Kurths J 2002 Phys. Rev. E 65 045103 [15] Schmidt M 2002 J. Phys.: Condens. Matter 1412119 [16] Baram A and Kutasov D 1992 J. Phys. A: Math. Gen. 25 L493 [17] Schaaf P, Johner A and Talbot J 1991 Phys. Rev.Lett. 66 1603 [18] Senger B, Schaaf P, Voegel J C, Johner A, Schmitt A andTalbot J 1992 J. Chem. Phys. 97 3813 [19] Adamczyk Z, Senger B, Voegel J C and Schaaf P 1999 J. Chem. Phys. 110 3118 [20] Robbie K and Brett M J 1997 J. Vac. Sci. Technol. A 15 1460 [21] Zhao Y P, Ye D X, Wang P I, Wang G C and Lu T M 2002 Intl. J. Nanosci. 1 87 [22] Wang H H, Shi Y J, William C, Yigal B 2008 Chin.Phys. Lett. 25 234 [23] Vicsek T and Family F 1984 Phys. Rev. Lett. 52 1669 [24] Song S and Poland D 1992 Phys. Rev. A 46 5063 [25] Leyvraz F and Redner S 2002 Phys. Rev. Lett. 88 068301 [26] Ke J and Lin Z 2002 Phys. Rev. E 66 062101 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|