Results 51 to 60 of about 174,740 (173)
Design and characterization of electrons in a fractal geometry [PDF]
Nature Physics, 2018 The dimensionality of an electronic quantum system is decisive for its properties. In one dimension, electrons form a Luttinger liquid, and in two dimensions, they exhibit the quantum Hall effect.
S. Kempkes +6 more
semanticscholar +1 more source
Fractal Tube Formulas for Compact Sets and Relative Fractal Drums: Oscillations, Complex Dimensions and Fractality [PDF]
J. Fractal Geom. 5 (2018), 1-119, 2016 We establish pointwise and distributional fractal tube formulas for a large class of relative fractal drums in Euclidean spaces of arbitrary dimensions. A relative fractal drum (or RFD, in short) is an ordered pair $(A,\Omega)$ of subsets of the Euclidean space (under some mild assumptions) which generalizes the notion of a (compact) subset and that of
arxiv +1 more source
Wave Equation for Fractal Solid String [PDF]
Modern Physics Letters B. Vol.19. No.15. (2005) 721-728, 2006 We use the fractional integrals to describe fractal solid. We suggest to consider the fractal solid as special (fractional) continuous medium. We replace the fractal solid with fractal mass dimension by some continuous model that is described by fractional integrals. The fractional integrals are considered as approximation of the integrals on fractals.
arxiv +1 more source
Frontiers in Cellular Neuroscience, 2017 It is known that microglia morphology and function are closely related, but only few studies have objectively described different morphological subtypes.
María del Mar Fernández-Arjona +4 more
doaj +1 more source
Dynamics of Fractal Solids [PDF]
International Journal of Modern Physics B. Vol.19. No.27. (2005)
4103-4114, 2007 We describe the fractal solid by a special continuous medium model. We propose to describe the fractal solid by a fractional continuous model, where all characteristics and fields are defined everywhere in the volume but they follow some generalized equations which are derived by using integrals of fractional order. The order of fractional integral can
arxiv +1 more source
International Archives of Otorhinolaryngology, 2018 Introduction Music-based sound therapies become recently a trend in the treatment of tinnitus. Few publications have studied the therapeutic use of fractal tones to treat chronic tinnitus. Objective The aim of this study was to determine the
Patricia Simonetti +2 more
doaj +1 more source
Magnetohydrodynamics of Fractal Media [PDF]
Physics of Plasmas Vol.13. No.5. (2006) 052107, 2007 The fractal distribution of charged particles is considered. An example of this distribution is the charged particles that are distributed over fractal. The fractional integrals are used to describe fractal distribution. These integrals are considered as approximations of integrals on fractals.
arxiv +1 more source
Decomposition of Heart Rate Variability Spectrum into a Power-law Function and a Residual Spectrum
Frontiers in Cardiovascular Medicine, 2016 The power spectral density (PSD) of heart rate variability (HRV) contains a power-law relationship that can be obtained by plotting the logarithm of PSD against the logarithm of frequency.
Cheng-Deng eKuo, Cheng-Deng eKuo
doaj +1 more source
, 1989 Foreword, B. Mandelbrot introduction fractal geometry fractal measures methods for determining fractal dimensions local growth models diffusion-limited growth growing self-affine surfaces cluster-cluster aggregation (CCA) computer simulations experiments
T. Vicsek
semanticscholar +1 more source
Beilstein Journal of Nanotechnology, 2017 This article reports a comparative study of the nanoscale and macroscale tribological attributes of alumina and stainless steel surfaces immersed in aqueous suspensions of positively (hydroxylated) or negatively (carboxylated) charged nanodiamonds (ND ...
Colin K. Curtis +3 more
doaj +1 more source