2009
DOI: 10.1029/2009ja014298
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Monte Carlo model of electron energy degradation in a CO2 atmosphere

Abstract: [ 1 ] AM onte Carlo model has been developed to study the degradation of 1000 eV electrons in an atmosphere of CO 2 ,w hich is one of the most abundant species in Mars' and Ve nus'sa tmospheres. The e-CO 2 cross sections are presented in an assembled set along with their analytical representations. Monte Carlo simulations are carried out at several energies to calculate the ''yield spectra,''w hich embodied all the information related to the electron degradation process and can be used to calculate ''yield'' (… Show more

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Cited by 40 publications
(75 citation statements)
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“…These processes are parameterized by the primary and secondary ionization rates, respectively, with the ratio of the latter to the former being frequently termed as ionization efficiency (Richards & Torr 1988). The calculation of the primary ionization rate is straightforward with the aid of the classical Beer-Lambert law, whereas the calculation of the secondary ionization rate, which requires either the implementation of the Monte Carlo algorithm (e.g., Bhardwaj & Jain 2009) or the multi-stream solution to the Boltzmann equation (e.g., Wedlund et al 2011), is far more involved.…”
Section: Introductionmentioning
confidence: 99%
“…These processes are parameterized by the primary and secondary ionization rates, respectively, with the ratio of the latter to the former being frequently termed as ionization efficiency (Richards & Torr 1988). The calculation of the primary ionization rate is straightforward with the aid of the classical Beer-Lambert law, whereas the calculation of the secondary ionization rate, which requires either the implementation of the Monte Carlo algorithm (e.g., Bhardwaj & Jain 2009) or the multi-stream solution to the Boltzmann equation (e.g., Wedlund et al 2011), is far more involved.…”
Section: Introductionmentioning
confidence: 99%
“…Comparisons of calculations using this approximation with more sophisticated electron transport models have shown good agreement in the altitude region where UV dayglow emissions are produced (Jain & Bhardwaj, ; Simon et al, ). Given the computation time constrains associated with the use of a GCM, we have chosen to calculate the energy degradation of the photoelectrons using the Analytical Yield Scheme (AYS) technique (e.g., Bhardwaj & Jain, ). This technique provides a fast expression based on rigorous Monte Carlo calculations, producing a good compromise between accuracy and calculation speed, ideal for implementation in a GCM.…”
Section: Methodsmentioning
confidence: 99%
“…In particular, the photoelectron energy flux at the altitude layer Z and energy E is calculated from the photoelectron production rate using expression (4) in Jain and Bhardwaj (): ϕfalse(Z,Efalse)=∫WL200Pefalse(E,Zfalse)Ufalse(E,E0false)∑lnlfalse(Zfalse)σlTfalse(Efalse)normaldE0 where σ l T ( E ) is the total inelastic cross section for gas l (cm 2 ), n l ( Z ) is its density (cm −3 ), and U ( E , E 0 ) is the AYS (eV −1 ). See more details about the significance of the AYS in Bhardwaj and Jain (), Jain and Bhardwaj (, ), and Bhardwaj and Jain (). For the AYS of CO 2 we use a modified version of expression (5) in Jain and Bhardwaj (), due to a mistake in the original text: Ufalse(E,E0false)=A1Eks+A2()Ekfalse/Δ1.5+E0B0e−xfalse/B1false(1+exfalse)2 where the values of the parameters are the same as in Jain and Bhardwaj ().…”
Section: Methodsmentioning
confidence: 99%
“…An additional process of neutral dissociation (N+N) is considered in our calculations, with the cross-section data taken from Cosby [1993]. The cross sections for electron impact dissociative ionization of CO 2 are based on the work by Tian and Vidal [1998a] and Bhardwaj and Jain [2009]. The CO 2 vibrational excitation cross sections are adopted from the compilations of Itikawa [2002] and Kochem et al [1985].…”
Section: Discussionmentioning
confidence: 99%
“…The CO 2 vibrational excitation cross sections are adopted from the compilations of Itikawa [2002] and Kochem et al [1985]. Calculations of electronic excitation of CO 2 are based on the empirical expressions of Jackman et al [1977], with the updated parameters given by Bhardwaj and Jain [2009]. Cross sections for CO electronic and vibrational excitations are based on the results of Jackman et al [1977], Brunger and Buckman [2002] and Poparić et al [2006].…”
Section: Discussionmentioning
confidence: 99%