Russian Physics Journal

, Volume 42, Issue 6, pp 546–551 | Cite as

Lorentz gas interacting with an inhomogeneous thermostat

  • A. P. Kasatkin
  • A. A. Yankina
Physics of Semiconductors and Dielectrics


The equilibrium distribution of a Lorentz gas (“electrons”) interacting with an inhomogenous thermostat (“atoms”) is examined with consideration of 1) the concept of volumes available and forbidden for the gas particles and 2) the solution of the kinetic equation. Analytical calculations for “electrons” and “atoms” repelling each other with the force ≈r−5 (where r is the distance between the particles) have shown that the coordinate- and velocity-dependent variables in the distribution function cannot be separated. In particular, this leads to the dependence of the average kinetic energy per “electron” on the coordinate: it is higher in the region with higher density of the “atoms”. It is assumed that the Gibbs distribution does not describe the properties of the system under consideration, because in this case the interaction between the system and thermostat cannot be considered small.


Kinetic Equation Impact Parameter Electron Velocity Gibbs Distribution Average Kinetic Energy 
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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • A. P. Kasatkin
  • A. A. Yankina

There are no affiliations available

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