The paper proposes a deterministic mechanism for the formation of Brownian motion. The movement of molecules, even under equilibrium conditions, leads to a constant displacement of the center of inertia, which creates a moment and leads to the emergence of additional force. The result is a possible accumulation of molecules in separate areas. Having arisen as a result of collisions of slower molecules than average ones, they are forced to move together for some time, moellely no changing their position. The action of the moment manifests itself in all known processes. In the kinetic theory based on the Lagrange and Liouville equations, the motion of the axis of inertia in the process of rearrangement and motion of particles is neglected. The concept of a derivative in terms of finite values of such quantities as the mean free path, time between collisions, etc. has features. At small mean free paths, the motion of the center of inertia contributes to the equation of state. A new algorithm is proposed for calculating the force entering the Langevin equation and the equation of state for a liquid. The listed issues are.

Original languageEnglish
Title of host publication13th Chaotic Modeling and Simulation International Conference
EditorsChristos H. Skiadas, Yiannis Dimotikalis
PublisherSpringer Nature
Pages651-662
Number of pages12
ISBN (Print)9783030707941
DOIs
StatePublished - 2021
Event13th Chaotic Modeling and Simulation International Conference, CHAOS 2020 - Florence, Italy
Duration: 9 Jun 202012 Jun 2020

Publication series

NameSpringer Proceedings in Complexity
ISSN (Print)2213-8684
ISSN (Electronic)2213-8692

Conference

Conference13th Chaotic Modeling and Simulation International Conference, CHAOS 2020
Country/TerritoryItaly
CityFlorence
Period9/06/2012/06/20

    Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation
  • Computer Science Applications

    Research areas

  • CHAOS, Chaotic modeling, CMSIM style, Conference

ID: 96618169