Controlling surface morphologies by time-delayed feedback

被引:2
作者
Block, M. [1 ]
Schmittmann, B.
Schoell, E.
机构
[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany
[2] Virginia Tech, Dept Phys, Blacksburg, VA 24061 USA
来源
PHYSICAL REVIEW B | 2007年 / 75卷 / 23期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevB.75.233414
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We propose a method to control the roughness of a growing surface via a time-delayed feedback scheme. The method is very general and can be applied to a wide range of nonequilibrium growth phenomena, from solid-state epitaxy to tumor growth. Possible experimental realizations are suggested. As an illustration, we consider the Kardar-Parisi-Zhang equation [Phys. Rev. Lett. 56, 889 (1986)] in 1+1 dimensions and show that the effective growth exponent of the surface width can be stabilized at any desired value in the interval [0.25, 0.33], for a significant length of time.
引用
收藏
页数:4
相关论文
共 40 条
[1]   Intrinsic anomalous surface roughening of TiN films deposited by reactive sputtering -: art. no. 045436 [J].
Auger, MA ;
Vázquez, L ;
Cuerno, R ;
Castro, M ;
Jergel, M ;
Sánchez, O .
PHYSICAL REVIEW B, 2006, 73 (04)
[2]   Crossover from antipersistent to persistent behavior in time series possessing the generalyzed dynamic scaling law -: art. no. 036121 [J].
Balankin, AS ;
Matamoros, OM ;
Gálvez, E ;
Pérez, A .
PHYSICAL REVIEW E, 2004, 69 (03) :036121-1
[3]  
Barabasi A.-L., 1995, FRACTAL CONCEPTS SUR, DOI [10.1017/CBO9780511599798, DOI 10.1017/CBO9780511599798]
[4]   Pinning of tumoral growth by enhancement of the immune response -: art. no. 238101 [J].
Brú, A ;
Albertos, S ;
García-Asenjo, JAL ;
Brú, I .
PHYSICAL REVIEW LETTERS, 2004, 92 (23) :238101-1
[5]   The universal dynamics of tumor growth [J].
Brú, A ;
Albertos, S ;
Subiza, JL ;
García-Asenjo, JL ;
Brú, I .
BIOPHYSICAL JOURNAL, 2003, 85 (05) :2948-2961
[6]   Super-rough dynamics on tumor growth [J].
Bru, A ;
Pastor, JM ;
Fernaud, I ;
Bru, I ;
Melle, S ;
Berenguer, C .
PHYSICAL REVIEW LETTERS, 1998, 81 (18) :4008-4011
[7]   Scale invariance and dynamical correlations in growth models of molecular beam epitaxy [J].
DasSarma, S ;
Lanczycki, CJ ;
Kotlyar, R ;
Ghaisas, SV .
PHYSICAL REVIEW E, 1996, 53 (01) :359-388
[8]   THE SURFACE STATISTICS OF A GRANULAR AGGREGATE [J].
EDWARDS, SF ;
WILKINSON, DR .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 381 (1780) :17-31
[9]   Roughness evolution in thin-film growth of SiO2 and Nb2O5 -: art. no. 103516 [J].
Elsholz, F ;
Schöll, E ;
Scharfenorth, C ;
Seewald, G ;
Eichler, HJ ;
Rosenfeld, A .
JOURNAL OF APPLIED PHYSICS, 2005, 98 (10)
[10]   SCALING OF THE ACTIVE ZONE IN THE EDEN PROCESS ON PERCOLATION NETWORKS AND THE BALLISTIC DEPOSITION MODEL [J].
FAMILY, F ;
VICSEK, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (02) :L75-L81