dorsal/arxiv
View SchemaChapman's model for ozone concentration: earth`s slowing rotation effect in the atmospheric past
| Authors | J. C. Flores, S. Montecinos |
|---|---|
| Categories | |
| ArXiv ID | physics/0007032 |
| URL | https://arxiv.org/abs/physics/0007032 |
Abstract
Chapman's model for ozone concentration is studied. In this nonlinear model, the photodissociation coefficients for $O_{2}$ and $O_{3}$ are time-depending due to earth-rotation. From the Kapitsa's method, valid in the high frequency limit, we find the criterion for the existence of equilibrium solutions. These solutions are depending on the frequency, and require a rotation period $T$ which satisfies $T<T_{1}$ or $T>T_{2}$. Where the critical periods $T_{1}$ and $T_{2}$, with $T_{2}>T_{1}$, are a function of the parameters of the system (reaction rates and photodissociation coefficients). Conjectures respect to the retardation of the earth's rotation, due to friction, suggest that the criterion was not even verified in the atmospheric past.
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"abstract": "Chapman\u0027s model for ozone concentration is studied. In this nonlinear model,\nthe photodissociation coefficients for $O_{2}$ and $O_{3}$ are time-depending\ndue to earth-rotation. From the Kapitsa\u0027s method, valid in the high frequency\nlimit, we find the criterion for the existence of equilibrium solutions. These\nsolutions are depending on the frequency, and require a rotation period $T$\nwhich satisfies $T\u003cT_{1}$ or $T\u003eT_{2}$. Where the critical periods $T_{1}$ and\n$T_{2}$, with $T_{2}\u003eT_{1}$, are a function of the parameters of the system\n(reaction rates and photodissociation coefficients). Conjectures respect to the\nretardation of the earth\u0027s rotation, due to friction, suggest that the\ncriterion was not even verified in the atmospheric past.",
"arxiv_id": "physics/0007032",
"authors": [
"J. C. Flores",
"S. Montecinos"
],
"categories": [
"physics.ao-ph",
"physics.chem-ph",
"physics.geo-ph"
],
"title": "Chapman\u0027s model for ozone concentration: earth`s slowing rotation effect in the atmospheric past",
"url": "https://arxiv.org/abs/physics/0007032"
},
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