نتایج جستجو برای: scaling law

تعداد نتایج: 234654  

2005
Zdenek P. Bazant

Scaling laws arc the most fundamental aspect of every physical theory. Recently. the problem of scaling law and size effect in the theories of structural failure has received considerahle attention, particularly with regard to distrihuted damage and nonlinear fracture behavior. The paper presents a rigorous mathematical analysis of scaling in various types of failure theories in structural mech...

Journal: :Physical review letters 2003
Bin Xu Ying-Cheng Lai Liqiang Zhu Younghae Do

Transition to chaos in the presence of noise is an important problem in nonlinear and statistical physics. Recently, a scaling law has been theoretically predicted which relates the Lyapunov exponent to the noise variation near the transition. Here we present experimental observation of noise-induced chaos in an electronic circuit and obtain the fundamental scaling law characterizing the transi...

2016
Mazda Biglari Hui Liu Ali Elkamel Ali Lohi

Abstract: Two modeling approaches, the scaling-law and CFD (Computational Fluid Dynamics) approaches, are presented in this paper. To save on experimental cost of the pilot plant, the scaling-law approach as a low-computational-cost method was adopted and a small scale column operating under ambient temperature and pressure was built. A series of laboratory tests and computer simulations were c...

2017
David F. Anderson Tung D. Nguyen

In 2010, Anderson, Craciun, and Kurtz showed that if a deterministically modeled reaction network is complex balanced, then the associated stochastic model admits a stationary distribution that is a product of Poissons [5]. That work spurred a number of followup analyses. In 2015, Anderson, Craciun, Gopalkrishnan, and Wiuf considered a particular scaling limit of the stationary distribution det...

2017
Satoru Kobayashi Kodai Miura Yuki Narita Seiki Takahashi

We report the results of magnetic measurements on austenitic stainless steels and duplex stainless steels using a magnetic hysteresis scaling technique. Unlike saturation hysteresis loops, this scaling technique, which uses a set of minor hysteresis loops, can be used in low measurement fields. We show that there is a universal scaling power law between minor-loop parameters, which is independe...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2013
Emily S C Ching Yue-Kin Tsang T N Fok Xiaozhou He Penger Tong

We show that the nature of the scaling behavior can be revealed by studying the conditional structure functions evaluated at given values of the locally averaged thermal dissipation rate. These conditional structure functions have power-law dependence on the value of the locally averaged thermal dissipation rate, and such dependence for the Bolgiano-Obukhov scaling is different from the other s...

2015
Sebastian Wallot Charles A. Coey Mike Richardson

The present study investigates the relation between the reading process and text comprehension during naturalistic text reading. To that end, participants read easy and difficult texts while their eye movements were recorded. After each reading, participants filled-in comprehension questionnaires. We investigated classical measures of the reading process related to comprehension (fixation durat...

2015
David B. Bahr W. Tad Pfeffer Georg Kaser

Volume-area power law scaling, one of a set of analytical scaling techniques based on principals of dimensional analysis, has become an increasingly important and widely used method for estimating the future response of the world's glaciers and ice caps to environmental change. Over 60 papers since 1988 have been published in the glaciological and environmental change literature containing appl...

Journal: :Trends in cognitive sciences 2010
Christopher T Kello Gordon D A Brown Ramon Ferrer-I-Cancho John G Holden Klaus Linkenkaer-Hansen Theo Rhodes Guy C Van Orden

Scaling laws are ubiquitous in nature, and they pervade neural, behavioral and linguistic activities. A scaling law suggests the existence of processes or patterns that are repeated across scales of analysis. Although the variables that express a scaling law can vary from one type of activity to the next, the recurrence of scaling laws across so many different systems has prompted a search for ...

2011
Zhengang Zhao Qian Guo Changpin Li

From the available literature, the allometric scaling laws generally exist in biology, ecology, etc. These scaling laws obey power law distributions. A possibly better approach to characterize the power law is to utilize fractional derivatives. In this paper, we establish a fractional differential equation model for this allometry by using the Caputo fractional derivatives.

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