Results 71 to 80 of about 148,429 (293)
Diffusion equations and different spatial fractional derivatives
Acta Scientiarum: Technology, 2014 We investigate for the diffusion equation the differences manifested by the solutions when three different types of spatial differential operators of noninteger (or fractional) order are considered for a limited and unlimited region.
Alexandre F. B. Duarte +5 more
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Anomalous Heat Transport in Classical Many-Body Systems: Overview and Perspectives
Frontiers in Physics, 2020 In this review paper we survey recent achievements in anomalous heat diffusion, while highlighting open problems and research perspectives. First, we briefly recall the main features of the phenomenon in low-dimensional classical anharmonic chains and ...
Giuliano Benenti +7 more
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Mathematics, 2022 We investigate diffusion in three dimensions on a comb-like structure in which the particles move freely in a plane, but, out of this plane, are constrained to move only in the perpendicular direction.
Ervin K. Lenzi +4 more
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Numerical schemes for kinetic equations in the diffusion and anomalous diffusion limits. Part I: the case of heavy-tailed equilibrium [PDF]
, 2015 In this work, we propose some numerical schemes for linear kinetic equations in the diffusion and anomalous diffusion limit. When the equilibrium distribution function is a Maxwellian distribution, it is well known that for an appropriate time scale, the
Crouseilles, Nicolas +2 more
core +2 more sources
Anomalous diffusion and generalized Sparre-Andersen scaling
, 2009 We are discussing long-time, scaling limit for the anomalous diffusion composed of the subordinated L\'evy-Wiener process. The limiting anomalous diffusion is in general non-Markov, even in the regime, where ensemble averages of a mean-square ...
B. Dybiec +17 more
core +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
Anomalous diffusion in velocity space [PDF]
Physics Letters A, 2009 The problem of anomalous diffusion in the momentum space is considered on the basis of the appropriate probability transition function (PTF). New general equation for description of the diffusion of heavy particles in the gas of the light particles is formulated on basis of the new approach similar to one in coordinate space (S. Trigger et al.).
openaire +2 more sources
Sub-diffusion in External Potential: Anomalous hiding behind Normal
, 2014 We propose a model of sub-diffusion in which an external force is acting on a particle at all times not only at the moment of jump. The implication of this assumption is the dependence of the random trapping time on the force with the dramatic change of ...
Fedotov, Sergei, Korabel, Nickolay
core +1 more source
Multimodal Data‐Driven Microstructure Characterization
Advanced Engineering Materials, EarlyView.A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source
Semantic segmentation of anomalous diffusion using deep convolutional networks
Physical Review ResearchHeterogeneous dynamics commonly emerges in anomalous diffusion with intermittent transitions of diffusion states but proves challenging to identify using conventional statistical methods. To effectively capture these transient changes of diffusion states,
Xiang Qu +6 more
doaj +1 more source