scaling laws
High modularity creates scaling laws
... Scaling laws have been observed in many natural and engineered ...observed scaling laws, and power laws in particular, arise naturally when some feature of a complex system is measured ...
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Critical Limit Principle of Maximum Entropy and Reinterpretation of Scaling Laws
... the self similar one. In a word, the geometrical structure and the physical para- meters function forms on the (r + 1)-th hierarchy maintain the original ones on the r-hierarchy. By the forms, we are unable to recognize ...
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Scaling laws for positron production in laser-electron-beam collisions
... The paper is organized as follows. First we derive an approximation for the pair-creation probability of a single high-energy photon colliding with an intense laser pulse in Sec. II. Then we consider producing these γ ...
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Development of Scaling Laws for Electrothermal Plasma Sources with Geometry Variables.
... generalized scaling laws for the electrothermal plasma capillary discharge it was necessary to collect data from the results of the 1-D, time-dependent code ETFLOW to assemble a collection of data ...
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Scaling Laws for Throughput Capacity and Delay in Wireless Networks – A Survey
... capacity scaling laws, it would be useful to provide a unified ...capacity scaling laws under a generalized physical model [109] and the establishment of a simple set of criteria that can be ...
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Scaling laws for the critical rupture thickness of common thin films
... simple scaling law with the constants provided in Tables 3 and 4 when the non-retarded Hamaker constant is ...The scaling laws used to predict bounds for the critical thickness were obtained ...
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Scaling Laws of Intermittent Plasma Turbulence in Edge of Fusion Devices
... transport scaling law δ x 2 ∝ τ α , where δ x 2 is a displacement of particles across a magnetic field with time τ, α is a scaling exponent, α = 1 corresponds to normal diffusion (Einstein law), α > 1 ...
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Scaling laws for perturbations in the ocean–atmosphere system following large CO 2emissions
... Ridgwell et al., 2007) do, however, include these interactions with the sedimentary reservoir. Both the comprehensive and intermediate complexity Earth system models require very long run times (on the order of hundreds ...
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Universal scaling laws for correlation spreading in quantum systems with short- and long-range interactions
... In this work we have shown that the spreading of equal- time correlations has a double structure whose scaling laws can be related to different characteristic spectral properties. For short-range systems, ...
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Scaling laws of rough turbulent flows from turbulence phenomenology: An overview and a new applicati
... scaling laws. In doing so, several empirical and semi-empirical laws based on the experimental data were ...semi-empirical laws are legitimate from the perspective of ...
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Transition from connected to fragmented vegetation across an environmental gradient: scaling laws in ecotone geometry
... for details). A gradient system cannot have infinitely large fluctuations, but the problem of increasing fluctuations toward the edge is clearly detectable (see fig. 5 in Lennon et al. 1997; Antonovics et al. 2006). ...
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The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization
... allometric scaling laws and other features of the dynamical behaviour of biological systems reflect the constraints inherent in the generic properties of these ...
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Towards scaling laws for subduction initiation on terrestrial planets: constraints from two-dimensional steady-state convection simulations
... in the lid. However, our model has several important differences from Fowler (1985). The theoretical solution in Fowler (1985) is a similarity solution and does not take into the finite horizontal extent of the lid. Our ...
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Scaling Laws for Plasma Focus Machines from Numerical Experiments
... wide-ranging scaling laws for plasma focus machines for nuclear fusion energy as well as other ap- ...published scaling laws for neutron (Y n ) and neon soft x-ray, SXR (Y sxr ) yields: ...
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Scaling laws in Hall inertial range turbulence
... Abstract. There is an increasing amount of observational ev- idence in space plasmas for the breakdown of inertial-range spectra of magnetohydrodynamic (MHD) turbulence on spa- tial scales smaller than the ion-inertial ...
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Scaling laws of quasi periodic pulsations in solar flares
... An example of observational QPP characteristics that can be compared with theoretical mechanisms are scaling laws between the QPP and flaring region properties. For the QPP mechanisms based on standing ...
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Cluster cluster aggregation as an analogue of a turbulent cascade : Kolmogorov phenomenology, scaling laws and the breakdown of self similarity
... expansion in ǫ = 2 − d using renormalisation group techniques. To leading order in ǫ, the scaling curve is quadratic in n. In d = 2 the power law corrections to the mean-field exponents become logarithmic. Our ...
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Electrohydrodynamics and dielectrophoresis in microsystems: scaling laws
... The results indicate that ac electro-osmosis dominates fluid motion at low frequencies and small system sizes, electrothermal flow dominates at high frequencies and voltages, and buoyancy [r] ...
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Achievable Rates and Scaling Laws for Cognitive Radio Channels
... Hindawi Publishing Corporation EURASIP Journal on Wireless Communications and Networking Volume 2008, Article ID 896246, 12 pages doi 10 1155/2008/896246 Research Article Achievable Rates and Scaling[.] ...
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