A kinetic equation for unstable plasmas in a finite space-time domain

2008 ◽  
Vol 15 (9) ◽  
pp. 092111 ◽  
Author(s):  
S. D. Baalrud ◽  
J. D. Callen ◽  
C. C. Hegna
Universe ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 45
Author(s):  
Vladimir Shevchenko

In this paper, we discuss the quantum Unruh–DeWitt detector, which couples to the field bath for a finite amount of its proper time. It is demonstrated that due to the renormalization procedure, a new dimensionful parameter appears, having the meaning of a detector’s recovery proper time. It plays no role in the leading order of the perturbation theory, but can be important non-perturbatively. We also analyze the structure of finite time corrections in two cases—perturbative switching on, and switching off when the detector is thermalized.


2021 ◽  
Vol 11 (8) ◽  
pp. 3421
Author(s):  
Cheng-Yu Ku ◽  
Li-Dan Hong ◽  
Chih-Yu Liu ◽  
Jing-En Xiao ◽  
Wei-Po Huang

In this study, we developed a novel boundary-type meshless approach for dealing with two-dimensional transient flows in heterogeneous layered porous media. The novelty of the proposed method is that we derived the Trefftz space–time basis function for the two-dimensional diffusion equation in layered porous media in the space–time domain. The continuity conditions at the interface of the subdomains were satisfied in terms of the domain decomposition method. Numerical solutions were approximated based on the superposition principle utilizing the space–time basis functions of the governing equation. Using the space–time collocation scheme, the numerical solutions of the problem were solved with boundary and initial data assigned on the space–time boundaries, which combined spatial and temporal discretizations in the space–time manifold. Accordingly, the transient flows through the heterogeneous layered porous media in the space–time domain could be solved without using a time-marching scheme. Numerical examples and a convergence analysis were carried out to validate the accuracy and the stability of the method. The results illustrate that an excellent agreement with the analytical solution was obtained. Additionally, the proposed method was relatively simple because we only needed to deal with the boundary data, even for the problems in the heterogeneous layered porous media. Finally, when compared with the conventional time-marching scheme, highly accurate solutions were obtained and the error accumulation from the time-marching scheme was avoided.


1972 ◽  
Vol 10 (1) ◽  
pp. 19-36 ◽  
Author(s):  
A. A. Blasi ◽  
F. Gallone ◽  
A. Zecca ◽  
V. Gorini
Keyword(s):  

Author(s):  
Konstantinos Makantasis ◽  
Athanasios Voulodimos ◽  
Anastasios Doulamis ◽  
Nikolaos Bakalos ◽  
Nikolaos Doulamis

2015 ◽  
Vol 348 ◽  
pp. 137-148 ◽  
Author(s):  
Kun Li ◽  
Jie Liu ◽  
Xu Han ◽  
Xingsheng Sun ◽  
Chao Jiang

Author(s):  
Ugur Cem Hasar ◽  
Yunus Kaya ◽  
Hamdullah Ozturk ◽  
Mucahit Izginli ◽  
Joaquim Jose Barroso ◽  
...  

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