Abstract
We integrate by very simple means the Boltzmann equation in the relaxation time approximation. Our result improves on the solution previously found by Chambers, which does not take into account initial conditions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. G. Chambers, The Kinetic formulation of conduction problems,Proc. Phys. Soc. A65:458–459 (1952).
A. Lodder, On Chambers solution of the Boltzmann equation,Physica 47:137–140 (1970).
H. Gzyl, On the probabilistic solution of a nonhomogeneous Cauchy-boundary value problem,Acta. Cient. Venezolana 30:440–445 (1979).
F. Reif,Fundamentals of Statistical and Thermal Physics (McGraw-Hill, New York, 1965).
C. Kittel,Elementary Statistical Physics (John Wiley, New York, 1958).
W. Jones and N. H. March,Theoretical Solid State Physics, Vol. 2 (John Wiley, New York, 1973).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gzyl, H. Integration of the boltzmann equation in the relaxation time approximation. J Stat Phys 29, 617–622 (1982). https://doi.org/10.1007/BF01342190
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01342190