Results 21 to 30 of about 146,915 (245)

A new fractional derivative involving the normalized sinc function without singular kernel

, 2017
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between
Baleanu, Dumitru, Gao, Feng, Machado, J. A. Tenreiro, Yang, Xiao-Jun   +3 more
core   +1 more source

Accelerating and retarding anomalous diffusion [PDF]

Journal of Physics A: Mathematical and Theoretical, 2012
18 page, 1 ...
Eab, Chai Hok, Lim, S C
openaire   +3 more sources

Subordinated Langevin Equations for Anomalous Diffusion in External Potentials - Biasing and Decoupled Forces

, 2009
The role of external forces in systems exhibiting anomalous diffusion is discussed on the basis of the describing Langevin equations. Since there exist different possibilities to include the effect of an external field the concept of {\it biasing} and ...
Balescu R., Gaspard P., Lasota A., Metzler R., Montroll E. W., R. Friedrich, S. Eule, Weiss G. H.   +7 more
core   +2 more sources

Diffusion Spectrum Imaging Maps Early Axonal Loss and a Unique Progressive Signal in Neuronal Intranuclear Inclusion Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To delineate specific in vivo white matter pathology in neuronal intranuclear inclusion disease (NIID) using diffusion spectrum imaging (DSI) and define its clinical relevance. Methods DSI was performed on 42 NIID patients and 38 matched controls.
Kaiyan Jiang, Yixiu Pei, Xiaobao Hu, Ying Xiong, Fang Wang, Yanyan Yu, Min Zhu, Dandan Tan, Meihong Zhou, Daojun Hong, Fuqing Zhou   +10 more
wiley   +1 more source

Nonlinear anomalous diffusion equation and fractal dimension: Exact generalized gaussian solution

, 2002
In this work we incorporate, in a unified way, two anomalous behaviors, the power law and stretched exponential ones, by considering the radial dependence of the $N$-dimensional nonlinear diffusion equation $\partial\rho /\partial{t}={\bf \nabla} \cdot ...
A. C. Scott, A. Compte, A. Compte, A. K. Myers-Beaghton, A. R. Plastino, B. O’Shaughnessy, B. O’Shaughnessy, C. Tsallis, D. A. Stariolo, D. A. Stariolo, E. K. Lenzi, G. Drazer, G. E. Uhlenbeck, H. G. E. Hentschel, H. G. E. Hentschel, H. Spohn, I. T. Pedron, J. Buckmaster, J. G. Berryman, J. Klafer, J. M. Carlson, J. Stephenson, K. Takagoshi, L. Borland, L. Borland, L. C. Malacarne, L. C. Malacarne, L. F. Richardson, M. F. Shlesinger, M. F. Shlesinger, R. Metzler, R. Metzler, R. S. Mendes, S. Martinez   +33 more
core   +1 more source

Anomalous Diffusion in Chaotic Scattering [PDF]

Physical Review Letters, 1995
The anomalous diffusion is found for peripheral collision of atomic nuclei described in the framework of the molecular dynamics. Similarly as for chaotic billiards, the long free paths are the source of the long-time correlations and the anomalous diffusion.
Srokowski, T., Ploszajczak, M.
openaire   +4 more sources

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Elinvar Materials: Recent Progress and Challenges

Advanced Engineering Materials, EarlyView.
Elinvar materials, exhibiting temperature‐invariant elastic modulus, are critical for precision instruments and emerging technologies. This article reviews recent progress in the field, with a focus on the anomalous thermoelastic behavior observed in key material systems.
Wenjie Li, Yang Ren
wiley   +1 more source

Fractional Langevin Equation of Distributed Order

, 2010
Distributed order fractional Langevin-like equations are introduced and applied to describe anomalous diffusion without unique diffusion or scaling exponent.
Eab, C. H., Lim, S. C.
core   +1 more source

Electrical Conductivities of Conductors, Semiconductors, and Their Mixtures at Elevated Temperatures

Advanced Engineering Materials, EarlyView.
This article presents a comprehensive review of temperature‐dependent electrical conductivity data for multiple material classes at elevated temperatures, highlighting a persistent conductivity gap between metals and semiconductors in the range of 102$\left(10\right)^{2}$– 107$\left(10\right)^{7}$ S/m. Metal–ceramic irregular metamaterials are proposed
Valentina Torres Nieto, Marcia A. Cooper
wiley   +1 more source