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On projection operator method in statistical mechanics; derivation of the Balescu–Lenard master equation

Author

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  • Tall, Moustapha Sadibou
  • Ndeye, Maurice
  • Ndiaye, Diène
  • Diatta, Christian Sina
  • Diedhiou, Ismaila

Abstract

In this article, a method of deriving Balescu–Lenard master equation for a homogeneous one-component gas of charged particles is proposed. This method is based on the use of the Zwanzig time-independent projection operator. It is thus shown that the projection technique allows to deal with systems for which second-order Born approximation cannot be invoked. But for such a system, a diagram technique is needed as in the Balescu's derivation although the projection technique has been used primarily to avoid such a cumbersome treatment.

Suggested Citation

  • Tall, Moustapha Sadibou & Ndeye, Maurice & Ndiaye, Diène & Diatta, Christian Sina & Diedhiou, Ismaila, 2004. "On projection operator method in statistical mechanics; derivation of the Balescu–Lenard master equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 168-182.
    • Handle: RePEc:eee:phsmap:v:333:y:2004:i:c:p:168-182
    DOI: 10.1016/j.physa.2003.10.058
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