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

✍ Scribed by Moustapha Sadibou Tall; Maurice Ndeye; Diène Ndiaye; Christian Sina Diatta; Ismaila Diedhiou

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 236 KB
• Volume: 333
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2003.10.058

✦ Synopsis

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.