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We investigate how extreme loss of data affects the scaling behavior of long-range power-law correlated and anti-correlated signals applying the DFA method. We introduce a segmentation approach to generate surrogate signals by randomly…

Data Analysis, Statistics and Probability · Physics 2010-03-12 Qianli D. Y. Ma , Ronny P. Bartsch , Pedro Bernaola-Galván , Mitsuru Yoneyama , Plamen Ch. Ivanov

We study the evolution of dynamic fluctuations averaged over different space lengths and time scales to characterize spatially and temporally heterogeneous behavior of TIP4P/2005 water in liquid and supercooled states. Analysing a million…

Long-range correlations manifested as power spectral density scaling $1/f^\beta$ for frequency $f$ and a range of exponents $\beta$ are investigated for a superposition of uncorrelated pulses with distributed durations $\tau$. Closed-form…

Statistical Mechanics · Physics 2025-03-03 M. A. Korzeniowska , O. E. Garcia

A study on the behavior of off-site AC power failure recovery times at three nuclear plant sites is presented. It is shown, that power law is appropriate for the representation of failure frequency-duration correlation function of off-site…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. John Arul , C. Senthil Kumar , S. Marimuthu , Om Pal Singh

The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced to be a verification of the Fluctuation Relation (FR) by…

Statistical Mechanics · Physics 2007-05-23 A. Puglisi , P. Visco , A. Barrat , E. Trizac , F. van Wijland

The exploration of the rich dynamics of electrons is a frontier in fundamental nano-physics. The dynamical behavior of electrons is dominated by random and chaotic thermal motion with ultrafast ($\approx$ ps) and nanoscale scatterings. This…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Ruijie Qian , S. T. Chui , Zhenghua An , y Hongtao Xu , Zhifang Lin , Zian Ji , Wei Lu

We performed molecular dynamics simulations to study relaxation phenomena during vapor-liquid transitions in a single component Lennard-Jones system. Results from two different overall densities are presented; one in the neighborhood of the…

Statistical Mechanics · Physics 2019-06-04 Sutapa Roy , Arabinda Bera , Suman Majumder , Subir K. Das

We constructed an analog circuit generating fluctuations of which a probability density function has power law tails. In the circuit fluctuations with an arbitrary exponent of the power law can be obtained by tuning the resistance. A theory…

Statistical Mechanics · Physics 2007-05-23 Aki-Hiro Sato , Hideki Takayasu , Yasuji Sawada

A stochastic model for intermittent fluctuations due to a super-position of uncorrelated Lorentzian pulses is presented. For constant pulse duration, this is shown to result in an exponential power spectral density for the stationary…

Plasma Physics · Physics 2017-03-08 O. E. Garcia , A. Theodorsen

Can one hear the 'sound' of a growing network? We address the problem of recognizing the topology of evolving biological or social networks. Starting from percolation theory, we analytically prove a linear inverse relationship between two…

Quantitative Methods · Quantitative Biology 2014-04-10 Ashish Bhan , Animesh Ray

Arrival times of requests to print in a student laboratory were analyzed. Inter-arrival times between subsequent requests follow a universal scaling law relating time intervals and the size of the request, indicating a scale invariant…

Performance · Computer Science 2011-11-09 Uli Harder , Maya Paczuski

Understanding the properties of response time distributions is a long-standing problem in cognitive science. We provide a tutorial overview of several contemporary models that assume power law scaling is a plausible description of the…

Neurons and Cognition · Quantitative Biology 2015-10-15 Z. Liu , O. Pavlov Garcia , J. G. Holden , R. A. Serota

The relationship between the microstructure of a porous medium and the observed flow distribution is still a puzzle. We resolve it with an analytical model, where the local correlations between adjacent pores, which determine the…

Fluid Dynamics · Physics 2017-10-16 Karen Alim , Shima Parsa , David A. Weitz , Michael P. Brenner

We propose a power-law decay model with autocorrelation for posting data to social networking services concerning particular events such as national holidays or major sport events. In these kinds of events we observe people's interest both…

Statistics Theory · Mathematics 2016-08-11 Toshifumi Fujiyama , Chihiro Matsui , Akimichi Takemura

Recent empirical studies have demonstrated long-memory in the signs of orders to buy or sell in financial markets [2, 19]. We show how this can be caused by delays in market clearing. Under the common practice of order splitting, large…

Other Condensed Matter · Physics 2009-11-10 F. Lillo , Szabolcs Mike , J. Doyne Farmer

The rapid development of Internet technology enables human explore the web and record the traces of online activities. From the analysis of these large-scale data sets (i.e. traces), we can get insights about dynamic behavior of human…

Physics and Society · Physics 2013-03-12 Zhi-Dan Zhao , Shi-Min Cai , Junming Huang , Yan Fu , Tao Zhou

In this study the power flow in a coupled mechanical and electromagnetic harvesting system in presence of both positional and electrical fluctuations is analyzed. Explicit expressions for the power into and out of the mechanical and…

Classical Physics · Physics 2014-05-30 Lars Egil Helseth

Traditional communication theory focuses on minimizing transmit power. However, communication links are increasingly operating at shorter ranges where transmit power can be significantly smaller than the power consumed in decoding. This…

Information Theory · Computer Science 2011-02-17 Pulkit Grover , Kristen Ann Woyach , Anant Sahai

Recurrence networks are a novel tool of nonlinear time series analysis allowing the characterisation of higher-order geometric properties of complex dynamical systems based on recurrences in phase space, which are a fundamental concept in…

Chaotic Dynamics · Physics 2016-04-07 Y. Zou , J. Heitzig , R. V. Donner , J. F. Donges , J. D. Farmer , R. Meucci , S. Euzzor , N. Marwan , J. Kurths

Diverse implicit structures of fluids are discovered lately, providing opportunities to study the physics of fluids applying network analysis. Although considerable works devote to identifying informative network structures of fluids, we…

Fluid Dynamics · Physics 2024-08-26 Yang Tian , Pei Sun , Yizhou Xu