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

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

Physica A: Statistical Mechanics and its Applications, 2004, vol. 333, issue C, 168-182

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.

Keywords: Statistical mechanics; Projection operator methods; Balescu–Lenard master equation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:333:y:2004:i:c:p:168-182

DOI: 10.1016/j.physa.2003.10.058

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