scholarly journals Strong inhomogeneity of Eschenburg spaces

2002 ◽  
Vol 50 (1) ◽  
pp. 125-142 ◽  
Author(s):  
Krishnan Shankar
Keyword(s):  
Strong Inhomogeneity ◽  
Eschenburg Spaces

scholarly journals Enhancing Superconductivity of the Nonmagnetic Quasiskutterudites by Atomic Disorder

Materials ◽  
2020 ◽  
Vol 13 (24) ◽  
pp. 5830
Author(s):  
Andrzej Ślebarski ◽  
Maciej M. Maśka
Keyword(s):  
High Temperature ◽  
Transition Temperature ◽  
Superconducting Transition Temperature ◽  
High Temperature Superconductors ◽  
Superconducting Phase ◽  
Length Scale ◽  
Superconducting Transition ◽  
Atomic Disorder ◽  
Strong Inhomogeneity ◽  
Related Compounds

We investigated the effect of enhancement of superconducting transition temperature Tc by nonmagnetic atom disorder in the series of filled skutterudite-related compounds (La3M4Sn13, Ca3Rh4Sn13, Y5Rh6Sn18, Lu5Rh6Sn18; M= Co, Ru, Rh), where the atomic disorder is generated by various defects or doping. We have shown that the disorder on the coherence length scale ξ in these nonmagnetic quasiskutterudite superconductors additionally generates a non-homogeneous, high-temperature superconducting phase with Tc⋆>Tc (dilute disorder scenario), while the strong fluctuations of stoichiometry due to increasing doping can rapidly increase the superconducting transition temperature of the sample even to the value of Tc⋆∼2Tc (dense disorder leading to strong inhomogeneity). This phenomenon seems to be characteristic of high-temperature superconductors and superconducting heavy fermions, and recently have received renewed attention. We experimentally documented the stronger lattice stiffening of the inhomogeneous superconducting phase Tc⋆ in respect to the bulk Tc one and proposed a model that explains the Tc⋆>Tc behavior in the series of nonmagnetic skutterudite-related compounds.

Interaction of solitons with a strong inhomogeneity in a nonlinear optical fiber

1995 ◽  
Vol 52 (4) ◽  
pp. 4474-4481 ◽  
Author(s):  
Sergey Burtsev ◽  
D. J. Kaup ◽  
Boris A. Malomed
Keyword(s):  
Optical Fiber ◽  
Nonlinear Optical ◽  
Strong Inhomogeneity ◽  
Interaction Of Solitons

Quantitative Evaluation of Deformation Twinning Behavior in Polycrystalline Pure Magnesium

2016 ◽  
Vol 725 ◽  
pp. 214-219
Author(s):  
Takeshi Soeda ◽  
Yuichi Tadano ◽  
Seiya Hagihara
Keyword(s):  
Crystal Plasticity ◽  
Deformation Twinning ◽  
Pure Magnesium ◽  
Dominant Factor ◽  
Plasticity Model ◽  
Element Mesh ◽  
Twin System ◽  
Crystal Plasticity Model ◽  
Strong Inhomogeneity ◽  
Twinning System

A crystal plasticity analysis of polycrystalline pure magnesium is conducted to investigate deformation twinning behavior at the crystal grain scale. A dominant factor in the onset of deformation twinning is the resolved shear stress on a twinning system. More than one twin system may simultaneously be activated in a crystal grain, resulting from inhomogeneous stress distribution caused by constraints imposed by neighboring grains. In this study, a pure magnesium polycrystal is modeled using a fine finite element mesh and analyzed using the crystal plasticity model involving deformation twinning. The evolution of deformation twinning at the crystalline scale is numerically investigated, and the present approach demonstrates that two or more twinning systems are be activated in a single crystal grain because of the strong inhomogeneity in the grain.

Solitary Waves of Integrate-and-Fire Neural Fields

1997 ◽  
Vol 9 (8) ◽  
pp. 1677-1690 ◽  
Author(s):  
David Horn ◽  
Irit Opher
Keyword(s):  
Solitary Waves ◽  
Two Dimensional ◽  
Neural Fields ◽  
Firing Activity ◽  
Firing Patterns ◽  
Integrate And Fire ◽  
Strong Inhomogeneity ◽  
Continuum Formulation ◽  
Dimensional Surface

Arrays of interacting identical neurons can develop coherent firing patterns, such as moving stripes that have been suggested as possible explanations of hallucinatory phenomena. Other known formations include rotating spirals and expanding concentric rings. We obtain all of them using a novel two-variable description of integrate-and-fire neurons that allows for a continuum formulation of neural fields. One of these variables distinguishes between the two different states of refractoriness and depolarization and acquires topological meaning when it is turned into a field. Hence, it leads to a topologic characterization of the ensuing solitary waves, or excitons. They are limited to pointlike excitations on a line and linear excitations, including all the examples noted above, on a two dimensional surface. A moving patch of firing activity is not an allowed solitary wave on our neural surface. Only the presence of strong inhomogeneity that destroys the neural field continuity allows for the appearance of patchy incoherent firing patterns driven by excitatory interactions.

Topological properties of Eschenburg spaces and 3-Sasakian manifolds

2007 ◽  
Vol 339 (1) ◽  
pp. 3-20 ◽  
Author(s):  
Ted Chinburg ◽  
Christine Escher ◽  
Wolfgang Ziller
Keyword(s):  
Topological Properties ◽  
Sasakian Manifolds ◽  
Eschenburg Spaces

Eschenburg spaces and bundles over CP2

1995 ◽  
Vol 9 (4) ◽  
Author(s):  
Lucas Chaves ◽  
Alcibiades Rigas
Keyword(s):  
Eschenburg Spaces

scholarly journals Open manifolds with non-homeomorphic positively curved souls

2019 ◽  
Vol 169 (2) ◽  
pp. 357-376 ◽  
Author(s):  
DAVID GONZÁLEZ-ÁLVARO ◽  
MARCUS ZIBROWIUS
Keyword(s):  
Sectional Curvature ◽  
Existence Results ◽  
Positive Answer ◽  
Open Manifold ◽  
Positive Sectional Curvature ◽  
Open Manifolds ◽  
Curved Manifolds ◽  
Eschenburg Spaces ◽  
Simply Connected ◽  
Positively Curved

AbstractWe extend two known existence results to simply connected manifolds with positive sectional curvature: we show that there exist pairs of simply connected positively-curved manifolds that are tangentially homotopy equivalent but not homeomorphic, and we deduce that an open manifold may admit a pair of non-homeomorphic simply connected and positively-curved souls. Examples of such pairs are given by explicit pairs of Eschenburg spaces. To deduce the second statement from the first, we extend our earlier work on the stable converse soul question and show that it has a positive answer for a class of spaces that includes all Eschenburg spaces.

Inverse polarity of the resistive switching effect and strong inhomogeneity in nanoscale YBCO-metal contacts

2016 ◽  
Vol 120 (18) ◽  
pp. 185302 ◽  
Author(s):  
M. Truchly ◽  
T. Plecenik ◽  
E. Zhitlukhina ◽  
M. Belogolovskii ◽  
M. Dvoranova ◽  
...  
Keyword(s):  
Resistive Switching ◽  
Switching Effect ◽  
Metal Contacts ◽  
Strong Inhomogeneity ◽  
Resistive Switching Effect

scholarly journals Analysis of Quenching and Stretching Processes of Aluminum Alloy Thick Plates

2014 ◽  
Vol 996 ◽  
pp. 532-537
Author(s):  
Hai Gong ◽  
Yun Xin Wu ◽  
Zhao Peng Yang ◽  
Kai Liao
Keyword(s):  
Mechanical Properties ◽  
Residual Stress ◽  
Aluminum Alloy ◽  
Stress Distribution ◽  
Residual Stresses ◽  
Residual Stress Distribution ◽  
Thick Plates ◽  
7050 Aluminum Alloy ◽  
Heat Treated ◽  
Strong Inhomogeneity

7050 aluminum alloy thick plates are usually heat treated and then aged to improve mechanical properties; however, residual stresses in the plates are developed during quenching. In this study, the influences of non-uniform factors on residual stresses in aluminum alloy thick plates during the quenching and stretching processes are studied. The results show strong inhomogeneity of the residual stress distribution in the plates, and the length of influenced area of the stretched plate is discussed.

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