Irregular Liesegang-type patterns in gas phase revisited. II. Statistical correlation analysis

被引：4

作者：

Torres-Guzman, Jose C. ^{[1
]}

Martinez-Mekler, Gustavo ^{[2
,3
,4
]}

Mueller, Markus F. ^{[1
,3
]}

机构：

[1] Univ Autonoma Estado Morelos, Ctr Invest Ciencias, Ave Univ 1001, Cuernavaca 62209, Morelos, Mexico

[2] Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Apartado Postal 48-3, Cuernavaca 62251, Morelos, Mexico

[3] Ctr Int Ciencias AC, Ave Univ 1001, Cuernavaca 62131, Morelos, Mexico

[4] Univ Nacl Autonoma Mexico, Ctr Ciencias Complejidad, Ciudad Univ, Mexico City 04510, DF, Mexico

来源：

JOURNAL OF CHEMICAL PHYSICS | 2016年 / 144卷 / 17期

关键词：

LONG-RANGE CORRELATIONS; ENERGY-LEVELS; TIME-SERIES; NONLINEARITY; MAGNITUDE; UNIVERSAL; SPECTRUM; DYNAMICS; NOISE; POWER;

D O I：

10.1063/1.4946792

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We present a statistical analysis of Liesegang-type patterns formed in a gaseous HCl-NH3 system by ammonium chloride precipitation along glass tubes, as described in Paper I [J. C. Torres-Guzman et al., J. Chem. Phys. 144, 174701 (2016)] of this work. We focus on the detection and characterization of short and long-range correlations within the non-stationary sequence of apparently irregular precipitation bands. To this end we applied several techniques to estimate spatial correlations stemming from different fields, namely, linear auto-correlation via the power spectral density, detrended fluctuation analysis (DFA), and methods developed in the context of random matrix theory (RMT). In particular RMT methods disclose well pronounced long-range correlations over at least 40 bands in terms of both, band positions and intensity values. By using a variant of the DFA we furnish proof of the nonlinear nature of the detected long-range correlations. Published by AIP Publishing.

引用

页数：11