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Hydrodynamical fluctuations in extended irreversible thermodynamics

Author

Listed:
  • Jou, D.
  • Rubi, J.M.
  • Casas-Vazquez, J.

Abstract

Starting from the generalized Gibbs equation of extended irreversible thermodynamics, we define a thermodynamic potential that provides a suitable description of the fluctuations of the hydrodynamical dissipative fluxes when it is used in an expression analogous to the classical Einstein formula for the probability of fluctuations. In the limit of vanishing relaxation times, our results coincide with those of Landau-Lifshitz. The effect of the rapid normal modes is taken into account as a stochastic noise in the evolution equations of the dissipative fluxes, and their covariance matrix is found from a fluctuation-dissipation theorem.

Suggested Citation

  • Jou, D. & Rubi, J.M. & Casas-Vazquez, J., 1980. "Hydrodynamical fluctuations in extended irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 588-598.
    • Handle: RePEc:eee:phsmap:v:101:y:1980:i:2:p:588-598
    DOI: 10.1016/0378-4371(80)90197-1
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    References listed on IDEAS

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    1. André Lebon, 1979. "L'aide au retour des travailleurs étrangers," Économie et Statistique, Programme National Persée, vol. 113(1), pages 37-46.
    2. Casas, P. Lizardo De Las, 1979. "Central Planning, National Policies and Local Rural Development Programmes: The Planning Process in Latin America and the Caribbean," 1979 Conference, September 3-12, 1979, Banff, Canada 182383, International Association of Agricultural Economists.
    3. Batra, Raveendra N. & Casas, Francisco R., 1976. "A synthesis of the Heckscher-Ohlin and the neoclassical models of international trade," Journal of International Economics, Elsevier, vol. 6(1), pages 21-38, February.
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    Cited by:

    1. Lebon, G. & Perez-Garcia, C. & Casas-Vazquez, J., 1986. "On a new thermodynamic description of viscoelastic materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(3), pages 531-545.
    2. Dudyński, Marek, 1988. "The Boltzmann-Lorentz model for particles with spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(1), pages 254-272.
    3. García-Colín, L.S., 1983. "On the Burnett and higher order equations of hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 118(1), pages 341-349.
    4. Boukary, M.S. & Lebon, G., 1986. "A comparative analysis of binary fluid mixtures by extended thermodynamics and the kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(3), pages 546-572.
    5. Valenti, G., 1987. "A phenomenological non-equilibrium theory for the thermodynamics of Kelvin bodies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(1), pages 211-218.
    6. Jou, D. & Casas-Vazquez, J. & Robles-Dominguez, J.A. & Garcia Colin, L.S., 1986. "Linear Burnett coefficients and thermodynamic fluctuations in extended irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 349-358.
    7. Jou, D. & Pérez-Garcia, C., 1980. "On a Ginzburg-Landau constitutive equation for the evolution and fluctuations of the heat flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 320-332.
    8. Bampi, F. & Morro, A. & Jou, D., 1981. "Two continuum approaches to a wavelength-dependent description of heat conduction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(2), pages 393-403.

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