English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We propose a conformal generalization of the reversible Vlasov equation ofkinetic plasma dynamics, called conformal kinetic theory. In order to arrive atthis formalism, we start with the conformal Hamiltonian dynamics of particlesand lift it to the dynamical formulation of the associated kinetic theory. Theresulting theory represents a simple example of a geometric pathway fromdissipative particle motion to dissipative kinetic motion. We also derive thekinetic equations of a continuum of particles governed by the contactHamiltonian dynamics, which may be interpreted in the context of relativisticmechanics. Once again we start with the contact Hamiltonian dynamics and liftit to a kinetic theory, called contact kinetic dynamics. Finally, we projectthe contact kinetic theory to conformal kinetic theory so that they form ageometric hierarchy.

Conformal and Contact Kinetic Dynamics and Their Geometrization