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.
Similar content being viewed by others
References
J. Lebowitz and E. Rubin,Phys. Rev. 131:2381 (1963).
P. Résibois and H. T. Davis,Physica 30:1077 (1964).
J. Lebowitz and P. Résibois,Phys. Rev. 139A:1101 (1965).
R. M. Mazo,J. Stat. Phys. 1:89 (1969).
G. Nicolis,J. Chem. Phys. 43:1110 (1965); Thesis, Université Libre de Bruxelles (1965) (unpublished).
J. Misguich, Thesis, Université Libre de Bruxelles (1968) (unpublished).
D. N. Zubarev and A. G. Bashkirov,Physica 39:334 (1968).
R. W. Zwanzig,J. Chem. Phys. 33:1338 (1960).
D. Massignon,Mécanique Statistique des Fluides, Dunod, Paris, 1957, p. 14et seq.
R. M. Mazo,Statistical Mechanical Theories of Transport Processes, Pergamon Press, Oxford (1967).
Author information
Authors and Affiliations
Additional information
This work, part of research supported by NSF Grant GP-8497, was done under the tenure of a National Science Foundation Senior Postdoctoral Fellowship and a sabbatical leave from the University of Oregon.
Rights and permissions
About this article
Cite this article
Mazo, R.M. On the theory of Brownian motion. II. Nonuniform systems. J Stat Phys 1, 101–106 (1969). https://doi.org/10.1007/BF01007244
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01007244