Publications (112)265.04 Total impact
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ABSTRACT: We employ the horizontal visibility algorithm to map the velocity and acceleration time series in turbulent flows with different Reynolds numbers, onto complex networks. The universal nature of velocity fluctuations in high Reynolds turbulent Helium flow is found to be inherited in the corresponding network topology. The degree distributions of the acceleration series are shown to have stretched exponential forms with the Reynolds number dependent fitting parameter. Furthermore, for acceleration time series, we find a transitional behavior in terms of the Reynolds number in all network features which is in agreement with recent empirical studies.  [Show abstract] [Hide abstract]
ABSTRACT: The power from wind and solar exhibits a nonlinear flickering variability, which typically occurs at time scales of a few seconds. We show that highfrequency monitoring of such renewable powers enables us to detect a transition, controlled by the field size, where the output power qualitatively changes its behaviour from a flickering type to a diffusive stochastic behaviour. We find that the intermittency and strong nonGaussian behavior in cumulative power of the total field, even for a countrywide installation still survives for both renewable sources. To overcome the short time intermittency, we introduce a timedelayed feedback method for power output of wind farm and solar field that can change further the underlying stochastic process and suppress their strong non gaussian fluctuations. 
Article: Localization in the Anderson model with longrange correlated hopping and onsite disorders
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ABSTRACT: We study the metal–insulator transition in onedimensional Anderson binary alloy with longrange disordered hopping integrals and onsite energies using the transfer matrix method. In this model, the onsite energies and hopping integrals are distributed randomly with longrange correlations characterized by power spectrum of the type , with different exponents and , respectively. We determine the critical value of longrange correlation exponent of hopping integral in the presence of only offdiagonal disorder in which the transition from localized to extended states occurs in thermodynamic limit. When both of the onsite energies and hopping integrals are disordered, there are two parameters and that control the metal–insulator transition in the system. We draw the phase diagram which separates the localized regime from extended one and it shows the critical values of for a given value of .  [Show abstract] [Hide abstract]
ABSTRACT: With increasing the contribution of renewable energies in power production, the task of reducing dynamic instability in power grids must also be addressed from the generation side, because the power delivered from such sources is spatiotemporally stochastic in nature. Here we characterize the stochastic properties of the wind and solar energy sources by studying their spectrum and multifractal exponents. The computed power spectrum from high frequency time series of solar irradiance and wind power reveals a powerlaw behaviour with an exponent ∼ 5/3 (Kolmogorov exponent) for the frequency domain 0.001 Hz f  [Show abstract] [Hide abstract]
ABSTRACT: Although fluctuations in the waiting time series have been studied for a long time, some important issues such as its longrange memory and its stochastic features in the presence of nonstationarity have so far remained unstudied. Here we find that the “waiting times” series for a given increment level have longrange correlations with Hurst exponents belonging to the interval 1/2 < H < 1. We also study positivenegative level asymmetry of the waiting time distribution. We find that the logarithmic difference of waiting times series has a shortrange correlation, and then we study its stochastic nature using the Markovian method and determine the corresponding KramersMoyal coefficients. As an example, we analyze the velocity fluctuations in high Reynolds number turbulence and determine the level dependence ofMarkov time scales, as well as the drift and diffusion coefficients. We show that the waiting time distributions exhibit power law tails, and we were able to model the distribution with a continuous time random walk. 
Article: Surface roughness analysis of the hydrophilic SiO_2/TiO_2 nano bilayers by Level crossing approach
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ABSTRACT: The effect of etching time on the statistical properties of the hydrophilic surface of SiO_2/TiO_2/Glass nano bilayer has been studied using Atomic Force Microscopy (AFM) and stochastic approach based on the level crossing analysis. We have created a rough surface of the hydrophilic SiO_2/TiO_2 nano bilayer system by using 26% Potassium Hydroxide (KOH) solution. Measuring the average apparent contact angle assessed the degree of hydrophilicity and the optimum condition was determined at 10 min etching time. Level crossing analysis based on AF images provided deeper insight into the microscopic details of the surface topography. For different etching time, it has been shown that the average frequency of visiting a height with positive slope behaves Gaussian for heights near the mean value and obeys power law for the heights far away from the mean value. Finally, by applying the generalized total number of crossings with positive slope, it was found that the both high heights and deep valleys of the surface are extremely effective in hydrophilic degree of the SiO_2/TiO_2/Glass nano bilayer investigated system.  [Show abstract] [Hide abstract]
ABSTRACT: Localization of elastic waves in twodimensional (2D) and threedimensional (3D) media with random distributions of the Lamé coefficients (the shear and bulk moduli) is studied, using extensive numerical simulations. We compute the frequency dependence of the minimum positive Lyapunov exponent γ (the inverse of the localization length) using the transfermatrix method, the density of states utilizing the force oscillator method, and the energylevel statistics of the media. The results indicate that all the states may be localized in the 2D media, up to the disorder width and the smallest frequencies considered, although the numerical results also hint at the possibility that there might be a small range of the allowed frequencies over which a mobility edge might exist. In the 3D media, however, most of the states are extended (with only a small part of the spectrum in the upper band tail that contains localized states) even if the Lamé coefficients are randomly distributed. Thus, the 3D heterogeneous media still possess a mobility edge. If both the Lamé coefficients vary spatially in the 3D medium, the localization length Λ follows a power law near the mobility edge, Λ∼(Ω−Ωc)−ν, where Ωc is the critical frequency. The numerical estimate, ν≃1.89±0.17, is significantly larger than the numerical estimate, ν≃1.57±0.01, and ν=3/2 (which was recently derived by a semiclassical theory for the 3D Anderson model of electron localization). If the shear modulus is constant but the bulk modulus varies spatially, the plane waves with transverse polarization propagate without any scattering—leading to a band of completely extended states, even in the 2D media. At the mobility edge of such media the localization length follows the same type of power law as Λ but with an exponent νT≃1/2 for both 2D and 3D media.  [Show abstract] [Hide abstract]
ABSTRACT: Although fluctuations in the waiting time series have been studied for a long time, some important issues such as its longrange memory and its stochastic features in the presence of nonstationarity have so far remained unstudied. Here we find that the "waiting times" series for a given increment level have longrange correlations with Hurst exponents belonging to the interval 1/2<H<1. We also study positivenegative level asymmetry of the waiting time distribution. We find that the logarithmic difference of waiting times series has a shortrange correlation, and then we study its stochastic nature using the Markovian method and determine the corresponding KramersMoyal coefficients. As an example, we analyze the velocity fluctuations in high Reynolds number turbulence and determine the level dependence of Markov time scales, as well as the drift and diffusion coefficients. We show that the waiting time distributions exhibit power law tails, and we were able to model the distribution with a continuous time random walk.  [Show abstract] [Hide abstract]
ABSTRACT: The effect of etching time on the statistical properties of hydrophilic surfaces of SiO2/TiO2/glass nano bilayers has been studied using atomic force microscopy (AFM) and a stochastic approach based on a level crossing analysis. We have created rough surfaces of the hydrophilic SiO2/TiO2 nano bilayer system by using 26% potassium hydroxide (KOH) solution. Measuring the average apparent contact angle allowed us to assess the degree of hydrophilicity, and the optimum condition was determined to be 10 min etching time. A level crossing analysis based on AFM images provided deeper insight into the microscopic details of the surface topography. With different etching times, it has been shown that the average frequency of visiting a height with positive slope behaves in a Gaussian manner for heights near the mean value and obeys a power law for heights far away from the mean value. Finally, by applying the generalized total number of crossings with positive slope, it was found that the both high heights and deep valleys of the surface have a great effect on the hydrophilic degree of the SiO2/TiO2/glass nano bilayer investigated system.  [Show abstract] [Hide abstract]
ABSTRACT: Largescale ab initio moleculardynamics simulations have been carried out to compute, at humanbody temperature, the vibrational modes and lifetimes of pure and hydrated dipalmitoylphosphatidylcholine (DPPC) lipids. The projected atomic vibrations calculated from the spectral energy density are used to compute the vibrational modes and the lifetimes. All the normal modes of the pure and hydrated DPPC and their frequencies are identified. The computed lifetimes incorporate the full anharmonicity of the atomic interactions. The vibrational modes of the water molecules close to the head group of DPPC are active (possess large projected spectrum amplitudes) in the frequency range 0.5–55 THz, with a peak at 2.80THz in the energy spectrum. The computed lifetimes for the highfrequency modes agree well with the recent data measured at room temperature where highorder phonon scattering is not negligible. The computed lifetimes of the lowfrequency modes can be tested using the current experimental capabilities. Moreover, the approach may be applied to other lipids and biomolecules, in order to predict their vibrational dispersion relations, and to study the dynamics of vibrational energy transfer.  [Show abstract] [Hide abstract]
ABSTRACT: Using the crosscorrelation of the wavelet transformation, we propose a general method of studying the scale dependence of the direction of coupling for coupled time series. The method is first demonstrated by applying it to coupled van der Pol forced oscillators and coupled nonlinear stochastic equations. We then apply the method to the analysis of the logreturn time series of the stock values of the IBM and General Electric (GE) companies. Our analysis indicates that, on average, IBM stocks react earlier to possible common sector price movements than those of GE.  [Show abstract] [Hide abstract]
ABSTRACT: Glossary Definition of the Subject Introduction Stochastic Processes Stochastic Time Series Analysis Applications: Processes in Time Applications: Processes in Scale Future Directions Further Reading Acknowledgment Bibliography  [Show abstract] [Hide abstract]
ABSTRACT: Analysis of flow in fluidized beds, a common chemical reactor, is of much current interest due to its fundamental as well as industrial importance. Experimental data for the successive increments of the pressure fluctuations time series in a fluidized bed are analyzed by computing a multiscale probability density function (PDF) of the increments. The results demonstrate the evolution of the shape of the PDF from the short to long time scales. The deformation of the PDF across time scales may be modeled by the lognormal cascade model. The results are also in contrast to the previously proposed PDFs for the pressure fluctuations that include a Gaussian distribution and a PDF with a powerlaw tail. To understand better the properties of the pressure fluctuations, we also construct the shuffled and surrogate time series for the data and analyze them with the same method. It turns out that longrange correlations play an important role in the structure of the time series that represent the pressure fluctuation. 
Article: Metalinsulator transition in threedimensional Anderson superlattice with rough interfaces
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ABSTRACT: We study the electronic properties of superlattice with rough interfaces in two and three dimensions using the transfermatrix method and direct diagonalization of the Anderson Hamiltonian. The system consists of layers with an average constant width, but with stochastic roughness added to the interfaces between the layers. The numerical results indicate that, in the thermodynamic limit, the twodimensional superlattice is an insulator in the presence of even small roughness. In threedimensional systems, however, the superlattice exhibits a metalinsulator transition with a welldefined mobility edge located at an energy Ec that we compute numerically. For threedimensional superlattice, the localization length follows a power law near the mobility edge ξ(E)∼(Ec−E)−ν, where the exponent is ν≃1.6. We also show that the existence of the extended states in threedimensional superlattices gives rise to a finite conductivity in the limit M/L→∞, where L is the length and M the width of the bar. 
Article: Interfacial Water Facilitates Energy Transfer by Inducing Extended Vibrations in Membrane Lipids
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ABSTRACT: We report the complete assignment of the vibrational spectrum of dipalmitoylphosphatidylcholine (DPPC), which belongs to the most ubiquitous membrane phospholipid family, phosphatidylcholine. We find that water hydrating the lipid headgroups enables efficient energy transfer across membrane leaflets on subpicosecond time scales. The emergence of spatially extended vibrational modes upon hydration, underlies this phenomenon. Our findings illustrate the importance of collective molecular behavior of biomembranes and reveal that hydrated lipid membranes can act as efficient media for the transfer of vibrational energy.  [Show abstract] [Hide abstract]
ABSTRACT: The single and multiple scattering regimes of electromagnetic waves in a disordered system with fluctuating permittivity are studied by numerical simulations of Maxwell's equations. For an array of emitters and receivers in front of a medium with randomly varying dielectric constant, we calculate the backscattering matrix from the signal responses at all receiver points j to electromagnetic pulses generated at each emitter point i. We show that the statistical properties of the backscattering matrix are in agreement with the recent experimental results for ultrasonic waves (Aubry A. and Derode A., Phys. Rev. Lett., 102 (2009) 084301) and light (Popoff S. M. et al., Phys. Rev. Lett., 104 (2010) 100601). In the multiple scattering regime the singular value distribution of the backscattering matrix obeys the quartercircle law. 
Article: Hydration Strongly Affects the Molecular and Electronic Structure of Membrane Phospholipids
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ABSTRACT: We investigate the structure and electronic properties of phosphatidylcholine (PC) under different degrees of hydration at the singlemolecule and monolayer type level by linear scaling ab initio calculations. Upon hydration, the phospholipid undergoes drastic longrange conformational rearrangements which lead to a sicklelike groundstate shape. The structural unit of the tilted gelphase PC appears to be a waterbridged PC dimer. We find that hydration dramatically alters the surface potential, dipole and quadrupole moments of the lipids and consequently guides the interactions of the lipids with other molecules and the communication between cells. 

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ABSTRACT: This review addresses a central question in the field of complex systems: given a fluctuating (in time or space), sequentially measured set of experimental data, how should one analyze the data, assess their underlying trends, and discover the characteristics of the fluctuations that generate the experimental traces? In recent years, significant progress has been made in addressing this question for a class of stochastic processes that can be modeled by Langevin equations, including additive as well as multiplicative fluctuations or noise. Important results have emerged from the analysis of temporal data for such diverse fields as neuroscience, cardiology, finance, economy, surface science, turbulence, seismic time series and epileptic brain dynamics, to name but a few. Furthermore, it has been recognized that a similar approach can be applied to the data that depend on a length scale, such as velocity increments in fully developed turbulent flow, or height increments that characterize rough surfaces. A basic ingredient of the approach to the analysis of fluctuating data is the presence of a Markovian property, which can be detected in real systems above a certain time or length scale. This scale is referred to as the Markov–Einstein (ME) scale, and has turned out to be a useful characteristic of complex systems. We provide a review of the operational methods that have been developed for analyzing stochastic data in time and scale. We address in detail the following issues: (i) reconstruction of stochastic evolution equations from data in terms of the Langevin equations or the corresponding Fokker–Planck equations and (ii) intermittency, cascades, and multiscale correlation functions.
Publication Stats
2k  Citations  
265.04  Total Impact Points  
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Institutions

20062015

Carl von Ossietzky Universität Oldenburg
 Department of Physics
Oldenburg, Lower Saxony, Germany


20102012

Universität Osnabrück
Osnabrück, Lower Saxony, Germany


19982011

Sharif University of Technology
 Department of Physics
Tehrān, Ostane Tehran, Iran


2009

University of Southern California
 Department of Chemical Engineering and Materials Science
Los Angeles, CA, United States


20002006

French National Centre for Scientific Research
Lutetia Parisorum, ÎledeFrance, France


2002

Institute for Research in Fundamental Sciences (IPM)
Teheran, Tehrān, Iran


19951998

Iran University of Science and Technology
 School of Physics
Teheran, Tehrān, Iran
