Multifractal analysis of light scattering-intensity fluctuations.

نویسندگان

  • F Shayeganfar
  • S Jabbari-Farouji
  • M Sadegh Movahed
  • G R Jafari
  • M Reza Rahimi Tabar
چکیده

We provide a simple interpretation of non-Gaussian nature of the light scattering-intensity fluctuations from an aging colloidal suspension of Laponite using the multiplicative cascade model, Markovian method, and volatility correlations. The cascade model and Markovian method enable us to reproduce most of recent empirical findings: long-range volatility correlations and non-Gaussian statistics of intensity fluctuations. We provide evidence that the intensity increments Deltax(tau)=I(t+tau)-I(t), upon different delay time scales tau, can be described as a Markovian process evolving in tau. Thus, the tau dependence of the probability density function p(Deltax,tau) on the delay time scale tau can be described by a Fokker-Planck equation. We also demonstrate how drift and diffusion coefficients in the Fokker-Planck equation can be estimated directly from the data.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Tissue multifractality and Born approximation in analysis of light scattering: a novel approach for precancers detection

Multifractal, a special class of complex self-affine processes, are under recent intensive investigations because of their fundamental nature and potential applications in diverse physical systems. Here, we report on a novel light scattering-based inverse method for extraction/quantification of multifractality in the spatial distribution of refractive index of biological tissues. The method is ...

متن کامل

Dynamic light scattering at low rates of shear

2014 Dynamic light scattering as a probe of fluctuations for systems undergoing steady linear shear is examined. Several approximations are made to calculate the intensity correlation function for a dense system of independent particles or fluctuations at low rates of shear. In this limit the intensity correlation function is similar in structure to the equilibrium intensity correlation functio...

متن کامل

Macromolecular Investigations by Laser light Scattering

In a liquid suspension the small particles dance around randomly executing Brownian motion. When laser light is focussed onto such a solution, the total light scattered consists of superposition of the light scattered from the individual particles in the scattering volume. Interference effects between the light scattered from different particles executing Brownian motion will cause this total i...

متن کامل

Interaction of Laser Beam and Gold Nanoparticles, Study of Scattering Intensity and the Effective Parameters

 In this paper, the optical properties of gold nanoparticles investigated. For this purpose the scattering intensity of a laser beam incident on gold nanoparticles has been studied using Mie theory and their respective curves versus different parameters such as scattering angle, wavelength of the laser beam and the size of gold nanoparticles are plotted. Investigating and comparison of the depi...

متن کامل

A schlieren method for ultra-low angle light scattering measurements

– We describe a self calibrating optical technique that allows to perform absolute measurements of scattering cross sections for the light scattered at extremely small angles. Very good performances are obtained by using a very simple optical layout similar to that used for the schlieren method, a technique traditionally used for mapping local refraction index changes. The scattered intensity d...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 80 6 Pt 1  شماره 

صفحات  -

تاریخ انتشار 2009