Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres

  • M. Lampis
  • D. Ya. Petrina
  • К. D. Petrina

Abstract

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 taken into account. We give a rigorous derivation of the infinitesimal operators of the semigroups of evolution operators.
Published
25.05.1999
How to Cite
LampisM., PetrinaD. Y., and PetrinaК. D. “Stochastic Dynamics As a Limit of Hamiltonian Dynamics of Hard Spheres”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 5, May 1999, pp. 614-35, https://umj.imath.kiev.ua/index.php/umj/article/view/4649.
Section
Research articles