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On the theory of brownian motion. III. Two-body distribution function

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.

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References

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This work is part of research supported by NSF Grant GP-8497.

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Mazo, R.M. On the theory of brownian motion. III. Two-body distribution function. J Stat Phys 1, 559–562 (1969). https://doi.org/10.1007/BF01024130

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  • DOI: https://doi.org/10.1007/BF01024130

Key words

  • Brownian motion
  • two-body distribution function
  • kinetic equation