A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions. Issue 3 (June 2021)
- Record Type:
- Journal Article
- Title:
- A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions. Issue 3 (June 2021)
- Main Title:
- A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions
- Authors:
- Goddard, Benjamin D.
Hurst, Tim D.
Wilkinson, Mark - Abstract:
- Abstract : The Liouville equation is of fundamental importance in the derivation of continuum models for physical systems which are approximated by interacting particles. However, when particles undergo instantaneous interactions such as collisions, the derivation of the Liouville equation must be adapted to exclude non-physical particle positions, and include the effect of instantaneous interactions. We present the weak formulation of the Liouville equation for interacting particles with general particle dynamics and interactions, and discuss the results using two examples.
- Is Part Of:
- Proceedings. Volume 151:Issue 3(2021)
- Journal:
- Proceedings
- Issue:
- Volume 151:Issue 3(2021)
- Issue Display:
- Volume 151, Issue 3 (2021)
- Year:
- 2021
- Volume:
- 151
- Issue:
- 3
- Issue Sort Value:
- 2021-0151-0003-0000
- Page Start:
- 1040
- Page End:
- 1074
- Publication Date:
- 2021-06
- Subjects:
- Liouville equation, -- Hard particles, -- BBGKY hierarchy, -- Inelastic collisions
70F35, -- 74H20, -- 76T25
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PRM ↗
- DOI:
- 10.1017/prm.2020.49 ↗
- Languages:
- English
- ISSNs:
- 0308-2105
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 16766.xml