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Equilibrium temperature fluctuations of molecular and photonic gases in a spherical microcavity

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Heat conduction process is investigated in space beyond a spherical microcavity in a solid or liquid in the presence of heat flux fluctuations through the cavity surface. It is demonstrated that random fluctuations of the cavity temperature represent a non-Markov process, and integral stochastic equations are required to describe them. Statistical characteristics of temperature fluctuations, including characteristic functions, density distribution functions, and spectral densities, are obtained. It is demonstrated that the character of small steady-state gas temperature fluctuations in the cavity is independent of the gas properties and its equation of state and is completely determined by the properties of the medium and cavity sizes.

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Authors and Affiliations

  1. N. É. Bauman Moscow State Technical University, Moscow, Russia

    A. N. Morozov & A. V. Skripkin

Authors
  1. A. N. Morozov
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  2. A. V. Skripkin
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Correspondence to A. N. Morozov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 9–18, July, 2012.

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Morozov, A.N., Skripkin, A.V. Equilibrium temperature fluctuations of molecular and photonic gases in a spherical microcavity. Russ Phys J 55, 736–747 (2012). https://doi.org/10.1007/s11182-012-9875-5

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  • DOI: https://doi.org/10.1007/s11182-012-9875-5

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