Influence of the vertical advection on the nonlinear dynamic properties of the upper-mesosphere photochemistry

Куликов, Михаил; Gashturi, A. P.

doi:10.1007/s11141-006-0127-9

Cited by 4 publications

(2 citation statements)

References 12 publications

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“…The other studies (e.g., Kulikov, 2004, 2007; Kulikov & Feigin, 2004, 2005; Kulikov & Gashturi, 2006; Sonnemann, 2001; Sonnemann et al, 1999; Sonnemann & Feigin, 1999; Sonnemann & Grygalashvyly, 2005) concerned the influence of different types of mesospheric transport (diffusion and winds in the vertical and horizontal directions and quasi‐2‐day atmospheric waves). In particular, Sonnemann and Feigin (1999) and Sonnemann et al (1999) analyzed the influence of the vertical eddy diffusion and found that in most cases only the first nontrivial mode of behavior (oscillations with periods of 2 days) can survive at the real values of the diffusion coefficient.…”

Section: Introductionmentioning

confidence: 99%

Analytical Investigation of the Reaction‐Diffusion Waves in the Mesopause Photochemistry

2020

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The mechanism of the generation of reaction-diffusion waves in the mesopause region (80-90 km) has been studied analytically. These waves are the propagating phase fronts arising in the oscillations of O, O 3 , H, OH, and HO 2 concentrations. They appear in the presence of horizontal eddy diffusion in zonal direction when mesospheric photochemistry responds subharmonically (with a period of 2 days) to diurnal variations of solar radiation. The photochemical system in the mesopause region is a nonlinear oscillator which can be roughly described by a system of two differential nonautonomous equations with power law nonlinearity which was derived in our earlier papers. To model the wave propagation, we have considered a continuous chain of oscillators with diffusion coupling and with the phase of external periodic forcing depending linearly on spatial coordinates. It was found that the reaction-diffusion waves are caused by specific "wind" type transport appearing in the equations for the amplitudes of 2-day photochemical oscillations of O and H concentrations due to the zonal inhomogeneity of the external forcing. The obtained expression for the wave propagation velocity fully confirmed the earlier numerical results that the magnitude of the velocity is proportional to the diffusion coefficient and the gradient of the external forcing phase. The wave propagation direction is determined by the definite phase relations specified by internal parameters of the system only.

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Section: Introductionmentioning

confidence: 99%

Analytical Investigation of the Reaction‐Diffusion Waves in the Mesopause Photochemistry

2020

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“…Further studies of the nonlinear response of mesospheric photochemistry (Sonnemann et al, 1999;Sonnemann and Feigin, 1999;Sonnemann, 2001;Feigin, 2004, 2005;Kulikov, , 2007Sonnemann and Grygalashvyly, 2005;Kulikov and Gashturi, 2006) revealed that behavior of the concentrations of minor gas constituents may be simpler…”

Section: Introductionmentioning

confidence: 99%

The mechanism of non-linear photochemical oscillations in the mesopause region

Куликов

Vadimova

Ignatov

et al. 2012

Nonlin. Processes Geophys.

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Abstract. The mechanism of generation of 2-day photochemical oscillations in the mesopause region (80-90 km) has been studied analytically. The initial system of equations of chemical kinetics describing the temporal evolution of O, O 3 , H, OH and HO 2 concentrations with allowance for diurnal variations of solar radiation has been simplified successively to a system of two nonlinear first-order time equations with sinusoidal external forcing. The obtained system has a minimum number of terms needed for generation of 2-day oscillations. Linearization of this system near the perioddoubling threshold permits separating explicitly a particular case of the Mathieu equationẍ+α·sin ωt ·x = 0, in which the first sub-harmonic (ω/2) of the exciting force starts to grow exponentially when the amplitude of external forcing (α) exceeds its threshold value. Finally, a system of two simplest differential equations with power-law nonlinearity has been derived that allows analytical investigation of the effect of arising of reaction-diffusion waves in the mesospheric photochemical system.

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Bayesian strategy of accuracy estimation for characteristics retrieved from experimental data using base dynamic models of atmospheric photochemical systems

Куликов

Mukhin

Feǐgin

2009

Radiophys Quantum El

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We develop a general approach for statistical estimation of accuracy of the characteristics of atmospheric photochemical systems retrieved from noisy time series of experimental data using base dynamic models. The practical value of such an approach was demonstrated by the example of retrieval of the spatio-temporal evolution of mesospheric photochemistry from satelliteborne measurements of ozone and hydroxyl concentrations. This made it possible, in particular, to determine the vertical profile of water-vapor concentration in this region of the atmosphere.

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Influence of the vertical advection on the nonlinear dynamic properties of the upper-mesosphere photochemistry

Cited by 4 publications

References 12 publications

Analytical Investigation of the Reaction‐Diffusion Waves in the Mesopause Photochemistry

Analytical Investigation of the Reaction‐Diffusion Waves in the Mesopause Photochemistry

The mechanism of non-linear photochemical oscillations in the mesopause region

Bayesian strategy of accuracy estimation for characteristics retrieved from experimental data using base dynamic models of atmospheric photochemical systems

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