State of gas determined by interaction of molecules each other and with the boundaries of the solid or liquid bodies. The concept of elastic collisions play an important role in physics, as collisions often have to deal with physical experiment in the field of atomic phenomena. The interaction of particles may be a variety of processes. The process of collision is to change the properties of the particles as a result of interaction. Conservation laws provide an easy way to set the ratio between the various physical quantities in the collision of particles [1]. In this paper we consider the interaction of molecules with potential for pair and triple elastic collisions of particles. Gas properties with noticeable influence of triple collisions will differ from the usual properties due to the collision of the particles each other and with the solid surface. In accordance to Gibbs formalism considers not a single system, but the ensemble of them in 6-N dimensional G-space, with system’s distributed according to the N-particle distribution function. Such an ensemble is described by the famous Liouville equation. The statistical independence of three particles before collision, solution of equation is f3(t, τ1, τ2, τ3)=f1(t0, τ10)f1(t0, τ20) f1(t0, τ30), ta0 = ta0 (t, t0, t1, t2, t3) - coordinate and impulse values which particles at the moment t0 for that at the time t get into given points t1, t2, t3 of the phase space. Now, let’s move from f1 to f = Nf1, and find kinetic equation in the form of
- Integral for pair collisions
- Integral for triple collision
0 which are including not only the triple collisions, but also combination of several pair of molecules [2].
The reported study was partially supported by the Russian Foundation for Basic Research (Research project No. 14-07-00564-а).
The work is submitted to the International Scientific Conference «Fundamental researches», Dominican Republic, April 13-22, 2014, came to the editorial office оn 21.03.2014Библиографическая ссылка
Khlopkov Yu.I., Khlopkov A.Yu., Zay Yar Myo Myint Kinetic equations for the triple collisions of molecules // Международный журнал экспериментального образования. – 2014. – № 6. – С. 40-40;URL: https://expeducation.ru/ru/article/view?id=5844 (дата обращения: 24.11.2024).