On fluctuations in liquids and gases |
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Authors: | S O Gladkov I V Gladyshev |
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Institution: | (1) Moscow State Institute of Radio Engineering, Electronics, and Automation (Technical University), pr. Vernadskogo 78, Moscow, 117454, Russia |
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Abstract: | The Lagrangian formalism is used to derive a system of nonlinear inhomogeneous dissipative differential equations describing the nonlinear dynamics of interrelated fluctuations of density, δρ, and temperature, δT, in a medium. With these equations, the unstable (with respect to initial conditions) phase trajectory describing parameter fluctuations in the ρ-T plane was obtained. By numerically solving the equations, we show that δρ and δT oscillate in time almost periodically, which is typical of fluctuations. |
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