Memory function versus binary correlator in additive Markov chains

被引:5
作者
Izrailev, F. M.
Krokhin, A. A.
Makarov, N. M.
Melnyk, S. S.
Usatenko, O. V.
Yampol'skii, V. A.
机构
[1] Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
[2] Univ N Texas, Dept Phys, Denton, TX 76203 USA
[3] Univ Autonoma Puebla, Inst Ciencias, Puebla 72050, Mexico
[4] Ukrainian Acad Sci, A Ya Usikov Inst Radiophys & Elect, UA-61085 Kharkov, Ukraine
关键词
binary Markov chain; memory function; correlated disorder;
D O I
10.1016/j.physa.2006.08.037
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study properties of the additive binary Markov chain with short and long-range correlations. A new approach is suggested that allows one to express global statistical properties of a binary chain in terms of the so-called memory function. The latter is directly connected with the pair correlator of a chain via the integral equation that is analyzed in great detail. To elucidate the relation between the memory function and pair correlator, some specific cases were considered that may have important applications in different fields. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:279 / 297
页数:19
相关论文
共 14 条
[1]  
[Anonymous], ANN PHYS LEIPZIG SI
[2]   Delocalization in the 1D Anderson model with long-range correlated disorder [J].
de Moura, FABF ;
Lyra, ML .
PHYSICAL REVIEW LETTERS, 1998, 81 (17) :3735-3738
[3]   Anomalous transport in low-dimensional systems with correlated disorder [J].
Izrailev, FM ;
Makarov, NM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (49) :10613-10637
[4]   Onset of delocalization in quasi-one-dimensional waveguides with correlated surface disorder [J].
Izrailev, FM ;
Makarov, NM .
PHYSICAL REVIEW B, 2003, 67 (11) :4
[5]   Selective transparency of single-mode waveguides with surface scattering [J].
Izrailev, FM ;
Makarov, NM .
OPTICS LETTERS, 2001, 26 (20) :1604-1606
[6]   Mobility edge in aperiodic Kronig-Penney potentials with correlated disorder: Perturbative approach [J].
Izrailev, FM ;
Krokhin, AA ;
Ulloa, SE .
PHYSICAL REVIEW B, 2001, 63 (04)
[7]   Localization and the mobility edge in one-dimensional potentials with correlated disorder [J].
Izrailev, FM ;
Krokhin, AA .
PHYSICAL REVIEW LETTERS, 1999, 82 (20) :4062-4065
[8]  
IZRAILEV FM, 2002, P PROGR EL RES S CAM
[9]   Random 1D structures as filters for electrical and optical signals [J].
Krokhin, A ;
Izrailev, F ;
Kuhl, U ;
Stöckmann, HJ ;
Ulloa, SE .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2002, 13 (2-4) :695-698
[10]   Experimental observation of the mobility edge in a waveguide with correlated disorder [J].
Kuhl, U ;
Izrailev, FW ;
Korkhin, AA ;
Stöckmann, HJ .
APPLIED PHYSICS LETTERS, 2000, 77 (05) :633-635