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On the theory of fluctuations in continuum systems

Abstract

The probability of occurrence of fluctuations around nonequilibrium steady states is discussed from a kinetic viewpoint. It is shown that in a large class of continuous media it is possible to extend the thermodynamic theory of fluctuations, provided one uses suitable steady-state parameters rather than equilibrium quantities.

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References

  1. G. Nicolis and Agnessa Babloyantz,J. Chem. Phys. 51:2632 (1969).

    Google Scholar 

  2. I. Prigogine,Introduction to Thermodynamics of Irreversible Processes, 3rd Ed. (Interscience Publishers, New York, 1967).

    Google Scholar 

  3. L. D. Landau and E. M. Lifshitz,Statistical Physics (Pergamon Press, New York and London, 1959).

    Google Scholar 

  4. Nelson Wax, editor,Selected Papers on Noise and Stochastic Processes (Dover Publications, New York, 1954).

    Google Scholar 

  5. M. Lax,Rev. Mod. Phys. 32:25 (1960), and references given therein.

    Google Scholar 

  6. J. Lebowitz and P. G. Bergmann,Ann. Phys. 1:1 (1967).

    Google Scholar 

  7. M. J. Beran,Statistical Continuum Theories (Interscience Publishers, New York, 1968).

    Google Scholar 

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Babloyantz, A., Nicolis, G. On the theory of fluctuations in continuum systems. J Stat Phys 1, 563–570 (1969). https://doi.org/10.1007/BF01024131

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  • DOI: https://doi.org/10.1007/BF01024131

Key words

  • Fluctuations
  • stochastic processes
  • continuous media
  • master equation