The numerical evaluation of the time-dependent emergent intensity from a semi-infinite atmosphere

1981 ◽  
Vol 25 (2) ◽  
pp. 159-166 ◽  
Author(s):  
B.D. Ganapol
Keyword(s):  
Numerical Evaluation ◽  
Time Dependent ◽  
Emergent Intensity

scholarly journals Spectral form factor for time-dependent matrix model

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Arkaprava Mukherjee ◽  
Shinobu Hikami
Keyword(s):  
Form Factor ◽  
Matrix Model ◽  
Random Matrix ◽  
Quantum Chaos ◽  
Numerical Evaluation ◽  
Time Dependent ◽  
Spectral Form ◽  
Random Matrix Model ◽  
Large Size ◽  
Analytic Expression

Abstract The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size N. The spectral form factor of time dependent Gaussian random matrix model shows also dip-ramp-plateau behavior with a rounding behavior instead of a kink near Heisenberg time. This model is converted to two matrix model, made of M1 and M2. The numerical evaluation for finite N and analytic expression in the large N are compared for the spectral form factor.

On the time-dependent occupancy and backlog distributions for the GI/G/∞ queue

1999 ◽  
Vol 36 (2) ◽  
pp. 558-569 ◽  
Author(s):  
H. Ayhan ◽  
J. Limon-Robles ◽  
M. A. Wortman
Keyword(s):  
Integral Equations ◽  
Numerical Evaluation ◽  
Queueing System ◽  
Sample Path ◽  
Time Dependent ◽  
Infinite Server ◽  
First Arrival ◽  
Number Of Customers

We consider an infinite server queueing system. An examination of sample path dynamics allows a straightforward development of integral equations having solutions that give time-dependent occupancy (number of customers) and backlog (unfinished work) distributions (conditioned on the time of the first arrival) for the GI/G/∞ queue. These integral equations are amenable to numerical evaluation and can be generalized to characterize GIX/G/∞ queue. Two examples are given to illustrate the results.

On the time-dependent occupancy and backlog distributions for the GI/G/∞ queue

1999 ◽  
Vol 36 (02) ◽  
pp. 558-569
Author(s):  
H. Ayhan ◽  
J. Limon-Robles ◽  
M. A. Wortman
Keyword(s):  
Integral Equations ◽  
Numerical Evaluation ◽  
Queueing System ◽  
Sample Path ◽  
Time Dependent ◽  
Infinite Server ◽  
First Arrival ◽  
Number Of Customers

We consider an infinite server queueing system. An examination of sample path dynamics allows a straightforward development of integral equations having solutions that give time-dependent occupancy (number of customers) and backlog (unfinished work) distributions (conditioned on the time of the first arrival) for the GI/G/∞ queue. These integral equations are amenable to numerical evaluation and can be generalized to characterize GI X /G/∞ queue. Two examples are given to illustrate the results.

Frequency Redistribution Effects in the Formation of Lyman α in Prominences and Their Influence on the Ratio of Hα to Lα

1979 ◽  
Vol 44 ◽  
pp. 53-55
Author(s):  
R.W. Milkey ◽  
J.N. Heasley ◽  
E.J. Schmahl ◽  
O. Engvold
Keyword(s):  
Line Profile ◽  
Large Fraction ◽  
Partial Frequency ◽  
Frequency Redistribution ◽  
Partial Frequency Redistribution ◽  
Emergent Intensity

The effect of partial frequency redistribution in the formation of Lyman α in the chromosphere has been discussed by Milkey and Mihalas (1973) and others, and it has been shown that in this case the coherency of scattering in the wings of the line substantially influences the line profile. Although there are non-negligible sources for La photons within a prominence, a large fraction of the emergent line photons are due to scattering of photons incident on the surface of the prominence so that one expects that in a prominence the frequency redistribution processes will play an important role in determining the emergent intensity.

Sign in / Sign up

Export Citation Format

Share Document