Evolution of the moments and transition probability models in energy transfer processes

Coronado, Eduardo A.; Ferrero, Juan C.

doi:10.1016/0009-2614(96)00564-7

Cited by 7 publications

(5 citation statements)

References 33 publications

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“…It must also be pointed out that the similarity of money and energy transfer processes as analysed in this work, makes worth a further comparative study on the evolution of the moments of the distribution [25].…”

Section: The Rate Of Money Transferencementioning

confidence: 80%

The statistical distribution of money and the rate of money transference

Ferrero

2004

Physica A: Statistical Mechanics and its Applications

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The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma function, confirming the validity of the statistical distribution at equilibrium. The equilibrium state is reached through pair wise money transference processes, independently of the shape of the initial distribution and also of the detailed nature of the money transactions between the economic agents.Comment: 15 pages plus 1 table plus 3 figure

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Section: The Rate Of Money Transferencementioning

confidence: 80%

The statistical distribution of money and the rate of money transference

Ferrero

2004

Physica A: Statistical Mechanics and its Applications

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“…Although the two methods of initial state preparation produce substantially different initial distributions, the energy transfer parameters obtained by our study are identical within experimental error. This result has previously been postulated from theoretical calculations, 10,11 but until now, no experimental work has substantiated this claim. This is the first direct experimental comparison between the two methods of initial excitation, and demonstrates that IRMPA is a viable method for energy transfer studies.…”

Section: Discussionmentioning

confidence: 78%

“…[3][4][5][6] Nevertheless, it has been shown theoretically that under appropriate conditions the results extracted from the data depend solely on the average excitation energy, i.e., they are independent of the initial distribution. 10,11 The average internal energy the excited molecule initially reaches after IRMPA is controlled by varying the fluence of the excitation laser.…”

Section: Introductionmentioning

confidence: 99%

A direct comparison of vibrational deactivation of hexafluorobenzene excited by infrared multiple photon absorption and internal conversion

Gascooke

Alwahabi

King

et al. 1998

The Journal of Chemical Physics

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We report the first direct comparison between energy transfer parameters measured using infrared multiphoton absorption ͑IRMPA͒ versus ultraviolet ͑UV͒ excitation followed by rapid internal conversion ͑IC͒. Highly excited hexafluorobenzene ͑HFB͒ molecules in the electronic ground state were prepared by ͑i͒ IRMPA by CO 2 laser pumping to an average initial energy of 14 500-17 500 cm Ϫ1 and ͑ii͒ UV excitation to ϳ40 300 cm Ϫ1 followed by IC. The vibrational deactivation of the highly excited HFB by the monatomic collider gas argon was monitored by time-resolved infrared fluorescence. The results for the two methods are identical within experimental error, demonstrating the viability of IRMPA as a method of state preparation for vibrational deactivation experiments involving large molecules.

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“…4,5 Nevertheless, the average excitation energy is readily determined, and it has been shown that under appropriate conditions the results extracted from the data depend solely on this; i.e., they are independent of the initial distribution. 8,9 In a recent direct comparison of the UV and IRMPA methods of excitation in collisional energy-transfer studies, we have shown that for the same molecule and collider gas pair the two methods produce identical results within experimental error. 10 In the direct studies of large molecule collisional energy transfer, time-resolved monitoring of the energy content of the highly vibrationally excited molecules has been carried out using IRF or hot-band UV absorption spectroscopy.…”

Section: Introductionmentioning

confidence: 85%

“…The average internal energy the excited molecule initially reaches after IRMPA is controlled by varying the fluence of the excitation laser. The disadvantage in using IRMPA is the uncertainty in the initial energy distribution. , Nevertheless, the average excitation energy is readily determined, and it has been shown that under appropriate conditions the results extracted from the data depend solely on this; i.e., they are independent of the initial distribution. , In a recent direct comparison of the UV and IRMPA methods of excitation in collisional energy-transfer studies, we have shown that for the same molecule and collider gas pair the two methods produce identical results within experimental error …”

Section: Introductionmentioning

confidence: 91%

Vibrational Deactivation of Highly Excited Hexafluorobenzene

et al. 1998

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Highly excited hexafluorobenzene (HFB) molecules in the electronic ground state were prepared by infrared multiphoton absorption by CO2 laser pumping using the P(38) line at 1029.43 cm-1. The vibrational deactivation of the highly excited HFB by monatomic collider gases was monitored by time-resolved infrared fluorescence (IRF). Deactivation measurements were made for the noble gas colliders He, Ne, Ar, Kr, and Xe. The bulk average energy transferred per collision, 〈〈ΔE〉〉, for these colliders was found to increase from He through to Ar; however it subsequently decreased from Ar through to Xe. This is different than the trend found in the quasiclassical trajectory calculations by Lenzer et al., which predict a decrease in the average energy transferred per collision from He to Ar to Xe. (Calculations were not reported for Ne and Kr.) However, similar trends in related energy-transfer parameters have been reported for the deactivation of C6F14 and C8F18 by the same series of five noble gases. A comparison is made with previous experimental measurements for the colliders He and Ar which were obtained using UV excitation of the HFB. For the same monatomic colliders, the 〈〈ΔE〉〉 values for HFB are much greater than those for the closely related aromatics, benzene, toluene, and pyrazine.

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Evolution of the moments and transition probability models in energy transfer processes

Cited by 7 publications

References 33 publications

The statistical distribution of money and the rate of money transference

The statistical distribution of money and the rate of money transference

A direct comparison of vibrational deactivation of hexafluorobenzene excited by infrared multiple photon absorption and internal conversion

Vibrational Deactivation of Highly Excited Hexafluorobenzene

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