18 research outputs found
Collisionless kinetic theory of rolling molecules
We derive a collisionless kinetic theory for an ensemble of molecules
undergoing nonholonomic rolling dynamics. We demonstrate that the existence of
nonholonomic constraints leads to problems in generalizing the standard methods
of statistical physics. In particular, we show that even though the energy of
the system is conserved, and the system is closed in the thermodynamic sense,
some fundamental features of statistical physics such as invariant measure do
not hold for such nonholonomic systems. Nevertheless, we are able to construct
a consistent kinetic theory using Hamilton's variational principle in
Lagrangian variables, by regarding the kinetic solution as being concentrated
on the constraint distribution. A cold fluid closure for the kinetic system is
also presented, along with a particular class of exact solutions of the kinetic
equations.Comment: Revised version; 31 pages, 1 figur
Social Innovations as Drivers of Social Change — Exploring Tarde’s Contribution to Social Innovation Theory Building
Regional Innovation and Research Policy Outlook: Policy Practices in Eight European Regions
This publication is part of a project called 'Practical Regional Research and Innovation policy in Action. The Efficient Tools for Regional Catching-up in New Member States'