skip to main content

Title: Field theory and weak Euler-Lagrange equation for classical particle-field systems

It is commonly believed that energy-momentum conservation is the result of space-time symmetry. However, for classical particle-field systems, e.g., Klimontovich-Maxwell and Klimontovich- Poisson systems, such a connection hasn't been formally established. The difficulty is due to the fact that particles and the electromagnetic fields reside on different manifolds. To establish the connection, the standard Euler-Lagrange equation needs to be generalized to a weak form. Using this technique, energy-momentum conservation laws that are difficult to find otherwise can be systematically derived.
Authors:
 [1] ;  [1] ;  [1]
  1. PPPL
Publication Date:
OSTI Identifier:
1148813
Report Number(s):
PPPL-5023
Journal ID: ISSN 1539-3755; PLEEE8; ArticleNumber: 043102
DOE Contract Number:
DE-AC02-09CH11466
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review E; Journal Volume: 90; Journal Issue: 4
Publisher:
American Physical Society (APS)
Research Org:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY