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  • Brownian motion  (3)
  • Springer  (3)
  • Cambridge University Press
  • Wiley
  • 1965-1969  (3)
  • 1940-1944
  • 1969  (3)
Collection
Keywords
Publisher
  • Springer  (3)
  • Cambridge University Press
  • Wiley
Years
  • 1965-1969  (3)
  • 1940-1944
Year
  • 1969  (3)
  • 1
    Electronic Resource
    Electronic Resource
    On the theory of Brownian motion. I. Interaction between Brownian particles (1969)
    Springer
    Journal of statistical physics 1 (1969), S. 89-99 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; Molecular theory ; Friction coefficient ; density dependence of Fokker-Planck equation ; Homogeneous systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The molecular theory of the Brownian motion of heavy particles in a homogeneous solvent of light particles is extended to cover the case of interactions between the Brownian particles. This will have physical effects in the concentration dependence of the Brownian particle self-diffusion coefficient. A density expansion for the Brownian particle friction coefficient is derived, and an approximation permitting the first density correction to be calculated is suggested.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01007243
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  • 2
    Electronic Resource
    Electronic Resource
    On the theory of Brownian motion. II. Nonuniform systems (1969)
    Springer
    Journal of statistical physics 1 (1969), S. 101-106 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; Molecular theory ; Nonuniform system ; Gradients of temperature ; velocity ; concentration ; Local equilibrium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An equation of evolution for a heavy particle immersed in a solvent of lighter particles is derived for the case when the system suffers gradients of temperature composition, or velocity. The derivation unifies the theory by applying the same methods which have proved useful in the uniform case. The final equation contains some new terms due to concentration gradients in the solvent, and is applicable to the case when the heavy particles are present at finite concentration and interact with each other.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01007244
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  • 3
    Electronic Resource
    Electronic Resource
    On the theory of brownian motion. III. Two-body distribution function (1969)
    Springer
    Journal of statistical physics 1 (1969), S. 559-562 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; two-body distribution function ; kinetic equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The equation of evolution governing the probability density of a pair of heavy particles in a fluid of lighter particles is derived. The derivation starts from the Liouville equation and proceeds by expansion in the ratio of light to heavy masses, using the technique previously applied successfully to the singlet distribution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01024130
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