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Test particle motion in a Lorentz gas


Gomberg, Richard Ira (1975) Test particle motion in a Lorentz gas. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5MDV-YZ10.


This is a two-part thesis concerning the motion of a test particle in a bath. In part one we use an expansion of the operator PLeit(1-P)LLP to shape the Zwanzig equation into a generalized Fokker-Planck equation which involves a diffusion tensor depending on the test particle's momentum and the time.

In part two the resultant equation is studied in some detail for the case of test particle motion in a weakly coupled Lorentz Gas. The diffusion tensor for this system is considered. Some of its properties are calculated; it is computed explicitly for the case of a Gaussian potential of interaction.

The equation for the test particle distribution function can be put into the form of an inhomogeneous Schroedinger equation. The term corresponding to the potential energy in the Schroedinger equation is considered. Its structure is studied, and some of its simplest features are used to find the Green's function in the limiting situations of low density and long time.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Engineering
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Engineering and Applied Science
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Corngold, Noel Robert
Thesis Committee:
  • Unknown, Unknown
Defense Date:26 July 1974
Record Number:CaltechTHESIS:07102014-094128527
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8532
Deposited By: Benjamin Perez
Deposited On:10 Jul 2014 16:58
Last Modified:09 Nov 2022 19:20

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