scholarly journals Particle-core model for transverse dynamics of beam halo

1998 ◽  
Vol 1 (8) ◽  
Author(s):  
T. P. Wangler ◽  
K. R. Crandall ◽  
R. Ryne ◽  
T. S. Wang
Keyword(s):  
Core Model ◽  
Beam Halo

Oxidation and reduction characteristics of oxygen carrier particles and reaction kinetics by unreacted core model

2001 ◽  
Vol 18 (6) ◽  
pp. 831-837 ◽  
Author(s):  
Ho-Jung Ryu ◽  
Dal-Hee Bae ◽  
Keun-Hee Han ◽  
Seung-Yong Lee ◽  
Gyoung-Tae Jin ◽  
...  
Keyword(s):  
Reaction Kinetics ◽  
Oxygen Carrier ◽  
Core Model ◽  
Unreacted Core ◽  
Unreacted Core Model ◽  
Reduction Characteristics

scholarly journals Correction to An Unreacted Shrinking Core Model Serves for Predicting Combustion Rates of Organic Additives in Clay Bricks

2021 ◽  
Vol 35 (5) ◽  
pp. 4616-4616
Author(s):  
Florian Wesenauer ◽  
Christian Jordan ◽  
Mario Pichler ◽  
Aron Frei ◽  
Mudassar Azam ◽  
...  
Keyword(s):  
Core Model ◽  
Shrinking Core Model ◽  
Organic Additives ◽  
Clay Bricks ◽  
Shrinking Core

Scales in K(ℝ) at the end of a weak gap

2008 ◽  
Vol 73 (2) ◽  
pp. 369-390 ◽  
Author(s):  
J. R. Steel
Keyword(s):  
Induction Hypothesis ◽  
The Other ◽  
Core Model ◽  
The Core ◽  
Woodin Cardinals ◽  
Other Hand

In this note we shall proveTheorem 0.1. Letbe a countably ω-iterable-mouse which satisfies AD, and [α, β] a weak gap of. Supposeis captured by mice with iteration strategies in ∣α. Let n be least such that ; then we have that believes that has the Scale Property.This complements the work of [5] on the construction of scales of minimal complexity on sets of reals in K(ℝ). Theorem 0.1 was proved there under the stronger hypothesis that all sets definable over are determined, although without the capturing hypothesis. (See [5, Theorem 4.14].) Unfortunately, this is more determinacy than would be available as an induction hypothesis in a core model induction. The capturing hypothesis, on the other hand, is available in such a situation. Since core model inductions are one of the principal applications of the construction of optimal scales, it is important to prove 0.1 as stated.Our proof will incorporate a number of ideas due to Woodin which figure prominently in the weak gap case of the core model induction. It relies also on the connection between scales and iteration strategies with the Dodd-Jensen property first discovered in [3]. Let be the pointclass at the beginning of the weak gap referred to in 0.1. In section 1, we use Woodin's ideas to construct a Γ-full a mouse having ω Woodin cardinals cofinal in its ordinals, together with an iteration strategy Σ which condenses well in the sense of [4, Def. 1.13]. In section 2, we construct the desired scale from and Σ.

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