World Scientific
  • Search
Skip main navigation

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at [email protected] for any enquiries.


    Biological motion and human traffic require energy supply from external sources. We develop here a model for the dynamics of driven entities which includes hydrodynamic interactions in order to adapt the model to the dynamics of swarms moving in dense fluids. Our entities have the ability to use the energy contained in an internal energy depot or an external energy inflow for the acceleration of motion. As a prototype of such entities we study Brownian particles having the ability to take up energy from their environment, to store it in an internal energy depot and to convert internal energy into kinetic energy. The motion of the particles is described by Langevin equations which include a dissipative force term resulting from the driving and equations for the dynamics of the depot. The hydrodynamic interactions are modeled by an Oseen-type tensorial force. It is shown that hydrodynamic interactions lead to the synchronization of the directions of motion leading to several new collective modes of the dynamics, including spontaneous rotations of the swarm.


    Remember to check out the Most Cited Articles!

    Be inspired by these NEW Mathematics books for inspirations & latest information in your research area!