Relativistic collision operators for modeling noninductive current drive by waves

2011 ◽  
Vol 18 (2) ◽  
pp. 022504 ◽  
Author(s):  
Y. J. Hu ◽  
Y. M. Hu ◽  
Y. R. Lin-Liu
2020 ◽  
Vol 21 (3) ◽  
pp. 243-246
Author(s):  
Paul R. Sanberg ◽  
Karen J.L. Burg

Universities have long recognized the need to create pathways for ideas and new technologies to advance from academic labs to market; however, the decentralized and haphazard nature of American innovation means that some discoveries may be neglected. In order to more effectively address the issues with innovation, a research team led by Steven Currall produced a new framework in the book Organized Innovation: A Blueprint for Renewing America's Prosperity. Because of the current drive of universities to increase innovation, economic development, and corporate partnerships, we thought it was timely to revisit this book and offer commentary on its lessons for navigating these demands.


1985 ◽  
Author(s):  
J. Goree ◽  
M. Ono ◽  
P. Colestock ◽  
R. Horton ◽  
D. McNeill ◽  
...  
Keyword(s):  

AIP Advances ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 035212
Author(s):  
Zhen Yang ◽  
Bin Wu ◽  
Yuanlai Xie ◽  
Yuqing Chen ◽  
Hongming Zhang ◽  
...  

Author(s):  
Yudai Abe ◽  
Akio Iwabuchi ◽  
Jun-Ichi Matsuda ◽  
Anna Kuwana ◽  
Takashi Ida ◽  
...  

Author(s):  
James Chapman ◽  
Jin Woo Jang ◽  
Robert M. Strain

AbstractThis article considers a long-outstanding open question regarding the Jacobian determinant for the relativistic Boltzmann equation in the center-of-momentum coordinates. For the Newtonian Boltzmann equation, the center-of-momentum coordinates have played a large role in the study of the Newtonian non-cutoff Boltzmann equation, in particular we mention the widely used cancellation lemma [1]. In this article we calculate specifically the very complicated Jacobian determinant, in ten variables, for the relativistic collision map from the momentum p to the post collisional momentum $$p'$$ p ′ ; specifically we calculate the determinant for $$p\mapsto u = \theta p'+\left( 1-\theta \right) p$$ p ↦ u = θ p ′ + 1 - θ p for $$\theta \in [0,1]$$ θ ∈ [ 0 , 1 ] . Afterwards we give an upper-bound for this determinant that has no singularity in both p and q variables. Next we give an example where we prove that the Jacobian goes to zero in a specific pointwise limit. We further explain the results of our numerical study which shows that the Jacobian determinant has a very large number of distinct points at which it is machine zero. This generalizes the work of Glassey-Strauss (1991) [8] and Guo-Strain (2012) [12]. These conclusions make it difficult to envision a direct relativistic analog of the Newtonian cancellation lemma in the center-of-momentum coordinates.


2005 ◽  
Vol 74 (1-4) ◽  
pp. 495-499 ◽  
Author(s):  
M. Grimes ◽  
D. Terry ◽  
R. Parker ◽  
D. Beals ◽  
J. Irby ◽  
...  

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