Skip to main content

Advertisement

SpringerLink
Log in

Coherentization of the energy of heat fluctuations by a two-channel bilinear control system

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We propose and investigate a mathematical model of an open bilinear control system for the conversion of heat energy in a coherent form. We show that the use of a combinational parametric resonance formed by the control system in a one-temperature ensemble of weakly dissipative elastic-gyroscopic subsystems enables one to obtain a positive energy output without using any cooling device apart from the control system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. N. M. Krylov and N. N. Bogolyubov, Application of Methods of Nonlinear Mechanics to the Theory of Stationary Oscillations [in Russian], Ukrainian Academy of Sciences, Kiev (1934).

    Google Scholar 

  2. N. N. Bogolyubov and Yu. A. Mitropol’skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).

    MATH  Google Scholar 

  3. Yu. A. Mitropol’skii, Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  4. A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Oscillations. Invariant Tori [in Russian], Moscow, Nauka (1987).

    Google Scholar 

  5. Yu. I. Samoilenko, Problems and Methods of Physical Cybernetics [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (2006).

    Google Scholar 

  6. A. A. Loginov, “Systems analysis of controlled energy transfer in a bundle of two oscillators,” Probl. Upravl. Inform., No. 5, 5–11 (2002).

  7. Yu. I. Samoilenko, “Conversion of energy of heat fluctuations in coherent form in the case of parametric modulation of gyroscopically coupled oscillators” in: Collection of Papers, Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (2005), pp. 233–251.

    Google Scholar 

  8. I. A. Kvasnikov, Thermodynamics and Statistical Physics. Theory of Nonequilibrium Systems [in Russian], Moscow University, Moscow (1987).

    Google Scholar 

  9. S. Lloyd, “Quantum-mechanical Maxwell’s demon,” Phys. Rev. A, 56, No. 5, 3374–3382 (1997).

    Article  Google Scholar 

  10. A. A. Fradkov and O. A. Yakubovskii (editors), Control of Molecular and Quantum Systems [in Russian], Institute of Computer Investigations, Moscow (2003).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

    Yu. I. Samoilenko

Authors
  1. Yu. I. Samoilenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 11, pp. 1557–1573, November, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Samoilenko, Y.I. Coherentization of the energy of heat fluctuations by a two-channel bilinear control system. Ukr Math J 59, 1750–1767 (2007). https://doi.org/10.1007/s11253-008-0023-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-008-0023-x

Keywords

Search

Navigation