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Kinetic Equations and Brownian Motion

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Some Aspects of Diffusion Theory

Part of the book series: C.I.M.E. Summer Schools ((CIME,volume 42))

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Abstract

In this series of lectures, we shall deal mainly with the microscopic theory of brownian motion.

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References

  1. S. Chandrasekhar, Revs. Mod. Phys. 15 1 (1943) reprinted in “Noise and Stochastic Processes”, ed. N. Wax, Dover Publications, New-York (1954)

    Article  MathSciNet  MATH  Google Scholar 

  2. I. Prigogine, Non equilibrium Statistical Mechanics, Interscience New-York 1962

    Google Scholar 

  3. R. Balescu, Statistical Mechanics of Charged Particles, Interscience, New-York (1963).

    MATH  Google Scholar 

  4. P. Résibois, in “Many Particle Physics”, ed. E. Meeron, Gordon and Breach (to appear)

    Google Scholar 

  5. R. Balescu and Y. Soulet, J. Phys. 26, 49 (1965).

    Google Scholar 

  6. I.Prigogine and G. Severne, Physica (to appear).

    Google Scholar 

References

  1. Chandrasekhar: Revs. Mod. Phys. J_5, 1 (1943) reprinted in: Noise and Stochastic Processes, ed. Nelson Wax, Dover Publications Inc. N. Y. 19, New-York (1954)

    Article  MathSciNet  MATH  Google Scholar 

References

  1. I. Prigogine, Non Equilibrium Statistical Mechanics, Interscience, London - New-York (1962)

    MATH  Google Scholar 

  2. R. Balescu, Statistical Mechanics of Charged Particles Interscience, London - New-York (1963)

    Google Scholar 

  3. P. Résibois, in “Many - Particle Physics” ed. by Meeron, Gordon and Breach (to appear, 1966)

    Google Scholar 

  4. C. George, Physica 30, 1513 (1964)

    Article  MathSciNet  Google Scholar 

  5. I. Prigogine and F. Henin, J. Math; Phys. 1, 349 (I960)

    Article  Google Scholar 

  6. F. Henin, P. Résibois and F. Apdrews, J. Math. Phys. 2, 68 (1961)

    Article  MATH  Google Scholar 

  7. I. Prigogine, F. Henin and C. George, Physica (32, 1873 (1966))

    Article  Google Scholar 

References

  1. I.Prigogine, Non Equilibrium Statistical Mechanics Interscience, New-York London (1962).

    Google Scholar 

  2. I. Prigogine and R. Balescu, Physica 23, 555 (1957).

    Article  MathSciNet  MATH  Google Scholar 

  3. M. Kac, Lecture on Probability Theory, Interscience, New-York (1959).

    Google Scholar 

  4. S. Chandrasekhar, Astrophys, J. 97, 255(1943).

    MathSciNet  Google Scholar 

  5. L. Spitzer, Physics of Fully Ionized Gases, Interscience New-York (1956)

    Google Scholar 

  6. J.E. Mayer, J. Chem. Phys. 18 1426(1950).

    Article  Google Scholar 

  7. E.W. Montroll and J.C.Ward, Phys, of Fluides, 1, 55(1958).

    Article  MATH  Google Scholar 

  8. M.Gell-Mann and K.A.Bruekner, Phys. Rev 106, 364(1957).

    Article  MathSciNet  MATH  Google Scholar 

  9. R. Balescu, Staistical Mechanics of charged Particles, Interscience, NewYork(1963).

    Google Scholar 

References

  1. P. Résibois and T. Davis, Physica 30, 1077 (1964).

    Article  MathSciNet  Google Scholar 

  2. J. Lebowitz and E. Rubin, Phys. Rev.131, 2381(1963).

    Article  MathSciNet  Google Scholar 

  3. J. Lebowitz and P.Résibois, Phys. Rev. 139, A1101 (1965).

    Article  Google Scholar 

  4. R. Balescu, Physica 27, 693(1961).

    Article  MathSciNet  MATH  Google Scholar 

  5. P. Résibois, J. Math, Phys. 4, 166(1963).

    MATH  Google Scholar 

References

  1. T. Davis and R. Dagonnier, J. Chem. Phys. 44, 4030 (1966).

    Article  Google Scholar 

  2. R. Dagonnier and P. Rasibois, Bull. Acad. Roy. Belg. CI Sci.52, 229 (1966).

    Google Scholar 

  3. P. Résibois and R. Dagonnier, Physics Letters (1966)

    Google Scholar 

  4. A. Abrikosov, L. Gorkov and I. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics, Prentice Hall, New Jersey (1963).

    MATH  Google Scholar 

  5. L. Meyer, and F. Reif, Phys. Rev. 123, 727 (1961).

    Article  Google Scholar 

  6. L. Meyer, T. Davis, S. Rice and R. Donelly, Phys. Rev. 126, 1927(1962).

    Article  Google Scholar 

  7. P. Résibois and R. Dagonnier, Bull. Acad. Roy. Belg. CI. Sci. (to be published)

    Google Scholar 

  8. I. Prigogine and G. Severne, Physica (to appear, 1966)

    Google Scholar 

  9. S. Chandrasekhar, Principles of Stellar Dynamics U. Of ChicagoPress (1942), Dover, New York (1960)

    Google Scholar 

  10. J. Brocas, Bull. Acad, Roy. Belg. cl. Sci. 50, 765 (1964).

    MathSciNet  MATH  Google Scholar 

  11. K. Hauboldt, Physica 28, 834 (1962).

    Article  MathSciNet  Google Scholar 

  12. I. Prigogine, Nature 209, (1966).

    Google Scholar 

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A. Pignedoli

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Henin, F. (2011). Kinetic Equations and Brownian Motion. In: Pignedoli, A. (eds) Some Aspects of Diffusion Theory. C.I.M.E. Summer Schools, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11051-1_3

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