Diese Seite ist aus Gründen der Barrierefreiheit optimiert für aktuelle Browser. Sollten Sie einen älteren Browser verwenden, kann es zu Einschränkungen der Darstellung und Benutzbarkeit der Website kommen!
Geophysics Homepage
Log in

Kinetic theory of information -- the dynamics of information

Treumann, R. A., and W. Baumjohann (2015), Kinetic theory of information -- the dynamics of information, Frontiers in Physics, 3(4), 00019, doi:10.3389/fphy.2015.00019, 5 pages, no figures, OPEN ACCESS.

A kinetic approach to the notion of information is proposed, based on Liouville kinetic theory. The general kinetic equation for the evolution of the N-particle information $\mathcal{I}_N$ in a Hamiltonian system of large particle number $N\gg 1$ is obtained. It is shown that the the $N$-particle information is strictly conserved. Defining reduced particle number information densities in phase space should be possible to obtain a kinetic equation for the ordinary one-particle information $\mathcal{I}_1\equiv \mathcal{I}$ following the Bogoliubov prescription. The kinetic equation for $\mathcal{I}$ is a kind of generalized Boltzmann equation with interaction term depending on the hierarchy of reduced informations. This term in its general form is the most general expression for the Kolmogorov entropy rate of evolution of the information.
  author = {R. A. Treumann and W. Baumjohann},
  journal = {Frontiers in Physics},
  month = {apr},
  note = {5 pages, no figures, OPEN ACCESS},
  number = {4},
  pages = {00019},
  title = {{Kinetic theory of information -- the dynamics of information}},
  volume = {3},
  year = {2015},
  doi = {10.3389/fphy.2015.00019},
%0 Journal Article
%A Treumann, R. A.
%A Baumjohann, W.
%D 2015
%N 4
%V 3
%J Frontiers in Physics
%P 00019
%Z 5 pages, no figures, OPEN ACCESS
%T Kinetic theory of information -- the dynamics of information
%8 apr
ImprintPrivacy PolicyContact
Printed 06. Dec 2021 07:02