Gas Kinetics: Excited State Distribution Function of Argon in a Freely Expanding Arcjet Plume

1977 ◽  
pp. 933-947
Keyword(s):  
Distribution Function ◽  
Excited State ◽  
State Distribution ◽  
Gas Kinetics

Slowly propagating instabilities in plasmas with Margenau-Davydov electron distribution function

1980 ◽  
Vol 24 (3) ◽  
pp. 503-514 ◽  
Author(s):  
V. J. Žigman ◽  
B. S. Milić
Keyword(s):  
Distribution Function ◽  
Steady State ◽  
Absolute Stability ◽  
Electron Distribution ◽  
Electron Distribution Function ◽  
Electron Drift ◽  
Steady State Distribution ◽  
State Distribution ◽  
Weakly Ionized ◽  
Weakly Ionized Plasma

The properties of certain wave modes excited in a weakly ionized plasma placed in an external d.c. electric field are analyzed from the standpoint of the linearized kinetic equation, the electron steady-state distribution function being taken in the form of the extended Margenau–Davydov and, in particular, Druyvesteinian. The presence of absolute stability cones formed by certain propagation directions is found. The corresponding critical values of the electron drift, destabilizing each of the modes considered, is also evaluated for a plasma with a Druyvesteinian distribution.

A note on the waiting time in M[X]/G/1 queueing systems with a removable server

2004 ◽  
Vol 41 (1) ◽  
pp. 287-291
Author(s):  
Jacqueline Loris-Teghem
Keyword(s):  
Distribution Function ◽  
Steady State ◽  
Waiting Time ◽  
Queueing Systems ◽  
Stieltjes Transform ◽  
Steady State Distribution ◽  
State Distribution ◽  
Removable Server ◽  
Inactive Phase ◽  
Bulk Arrival

For the M[X]/G/1 queueing model with a general exhaustive-service vacation policy, it has been proved that the Laplace-Stieltjes transform (LST) of the steady-state distribution function of the waiting time of a customer arriving while the server is active is the product of the corresponding LST in the bulk arrival model with unremovable server and another LST. The expression given for the latter, however, is valid only under the assumption that the number of groups arriving in an inactive phase is independent of the sizes of the groups. We here give an expression which holds in the general case. For the N-policy case, we also give an expression for the LST of the steady-state distribution function of the waiting time of a customer arriving while the server is inactive.

Sign in / Sign up

Export Citation Format

Share Document