Yushkov V. The Hamiltonian Formalism and Quantum Mechanical Analogy in the Probabilistic Description of Turbulence // Theoretical and Mathematical Physics. Moscow University Physics Bulletin. 2015, Volume 70, Issue 4, pp. 217-225 DOI: 10.3103/S00271349150
Abstract. It is shown here that (i) the interaction of adiabatic waves with incompressible turbulence makes it possible to statistically describe the transfer of the energy of turbulent pulsations over the spectrum, (ii) the fundamental parameter that allows the effect of adiabatic motions on incompressible turbulence to be parameterized is the entropy dissipation coefficient in the equation that is called the Obukhov equation in this paper, and (iii) the generalized coordinates or canonical variables of the Zakharov equation should be interpreted as wave functions.
2018Vavilin V.A., Rytov S.V., Lokshina L.Y. Modelling the specific pathway of CH4 and CO2 formation using carbon isotope fractionation: an example for a boreal mesotrophic fen / Isotopes in Environmental and Health Studies
2018V.A. Vavilin, S.V. Rytov, L.Y. Lokshina. Dynamic isotope equations for 13CH4 and 13CO2 describing methane formation with a focus on the effect of anaerobic respiration in sediments of some tropical lakes / Ecological Modelling, 2018, vol. 386, pages 59-70