Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres

• Date: 1999
• Main Authors: Lampis, M., Petrina, D. Ya., Petrina, К. D., Лампіс, М., Петрина, Д. Я., Петрина, К. Д.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4649
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the stochastic dynamics that is the Boltzmann-Grad limit of the Hamiltonian dynamics of a system of hard spheres. A new concept of averages over states of stochastic systems is introduced, in which the contribution of the hypersurfaces on which stochastic point particles interact is take...