Collisional relaxation via eigenfunction-eigenvalue expansion: Analysis of a simple case

1989 ◽  
Vol 66 (2) ◽  
pp. 142 ◽  
Author(s):  
Wendell Forst
Keyword(s):  
Collisional Relaxation ◽  
Eigenvalue Expansion

Eigenvalue Expansion Approach to Study Bio-Heat Equation

2016 ◽  
Vol 07 (02) ◽  
pp. 1650002
Author(s):  
M. A. Khanday ◽  
Khalid Nazir
Keyword(s):  
Differential Equation ◽  
Heat Equation ◽  
Metabolic Pathways ◽  
Biological Tissues ◽  
Temperature Profiles ◽  
Order Partial Differential Equation ◽  
Eigenvalue Method ◽  
Thermal Disturbance ◽  
Heat Processes ◽  
Eigenvalue Expansion

A mathematical model based on Pennes bio-heat equation was formulated to estimate temperature profiles at peripheral regions of human body. The heat processes due to diffusion, perfusion and metabolic pathways were considered to establish the second-order partial differential equation together with initial and boundary conditions. The model was solved using eigenvalue method and the numerical values of the physiological parameters were used to understand the thermal disturbance on the biological tissues. The results were illustrated at atmospheric temperatures [Formula: see text]C and [Formula: see text]C.

Collisional relaxation times in a three-level maser

1977 ◽  
Vol 26 (2) ◽  
pp. 319-326 ◽  
Author(s):  
C. Bottcher ◽  
C. Feuillade
Keyword(s):  
Relaxation Times ◽  
Collisional Relaxation

Speed dependence of collisional relaxation in ground vibrational state of OCS: Rotational behaviour

2012 ◽  
Vol 136 (12) ◽  
pp. 124316 ◽  
Author(s):  
Maxim A. Koshelev ◽  
Mikhail Yu. Tretyakov ◽  
François Rohart ◽  
Jean-Pierre Bouanich
Keyword(s):  
Vibrational State ◽  
Rotational Behaviour ◽  
Collisional Relaxation ◽  
Ground Vibrational State ◽  
Speed Dependence

Collisional relaxation of DF(v=1) and HF(v=1) by the DF dimer

1987 ◽  
Vol 86 (3) ◽  
pp. 1340-1347 ◽  
Author(s):  
K. J. Rensberger ◽  
J. M. Robinson ◽  
F. F. Crim
Keyword(s):  
Collisional Relaxation

Theory of Anisotropic Collisional Relaxation

1999 ◽  
pp. 117-141
Author(s):  
S. A. Kazantsev ◽  
A. G. Petrashen ◽  
N. M. Firstova
Keyword(s):  
Collisional Relaxation

scholarly journals Collisional Relaxation of Fast Electrons Energy in Gas

2021 ◽  
Vol 248 ◽  
pp. 04002
Author(s):  
Alexander Metel ◽  
Enver Mustafaev ◽  
Yury Melnik ◽  
Khaled Hamdy
Keyword(s):  
Experimental Study ◽  
Glow Discharge ◽  
Electron Energy ◽  
Initial Energy ◽  
Gas Pressure ◽  
Collisional Relaxation ◽  
Fast Electrons ◽  
Electrostatic Confinement ◽  
The Mean

We present results of theoretical and experimental study of collisional relaxation of fast electrons energy in gas. The dependence on the gas pressure p and electron energy ε of the mean pass Λ of fast electrons injected into a gas being sufficient to spend on ionization all their initial energy ε has been calculated. It was found that Λ is directly proportional to ε2 and inversely proportional to the gas pressure. To sustain glow discharge with electrostatic confinement of fast electrons, Λ should be less than the mean way to the anode of emitted by the cathode electrons.

Collisional relaxation of iodobenzene ions

1983 ◽  
Vol 87 (11) ◽  
pp. 1924-1928 ◽  
Author(s):  
Naomi B. Lev ◽  
Robert C. Dunbar
Keyword(s):  
Collisional Relaxation
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